| This question bank covers a wide range of questions so that candidates do not panic while solving the exam paper.    3  \\ | EduRev is a knowledge-sharing community that depends on everyone being able to pitch in when they know something. Question 5 (**) The 2 2× matrix A, is defined as 2 2 a b = − A where a and b are constants. Matrices and Determinants carry a total of 12-13 marks in the CBSE Class XII Board Examination. All the solutions of Algebra of Matrices - Mathematics explained in detail by experts to … | a) Find the value of a and the value of b. Important Solutions 2858. Define a diagonal matrix. Solution: Question 11. 2) Let A = -5 2 and B = 1 0 . Then, The order of \[[x\,y\,z]\,\,\left[ \begin{matrix} a & h & g \\ h & b & f \\ g & f & c \\ \end{matrix} \right]\,\left[ \begin{align} & x \\ & y \\ & z \\ \end{align} \right]\] is [EAMCET 1994], If A and B are two matrices such that \[AB=B\]and \[BA=A,\] then \[{{A}^{2}}+{{B}^{2}}=\] [EAMCET 1994], If A and B are two matrices and \[(A+B)(A-B)\]\[={{A}^{2}}-{{B}^{2}}\], then [RPET 1995], \[A=\left[ \begin{matrix} 5 & -3 \\ 2 & 4 \\ \end{matrix} \right]\]and \[B=\left[ \begin{matrix} 6 & -4 \\ 3 & 6 \\ \end{matrix} \right],\]then \[A-B=\] [RPET 1995], If \[X=\left[ \begin{matrix} 3 & -4 \\ 1 & -1 \\ \end{matrix} \right]\], then the value of \[{{X}^{n}}\]is [EAMCET 1991], If \[A=\left[ \begin{matrix} i & 0 \\ 0 & i \\ \end{matrix} \right]\], then \[{{A}^{2}}=\] [EAMCET 1983], If \[A\] and \[B\] are square matrices of same order, then [Roorkee 1995], If \[A=\left[ \begin{matrix} 0 & 1 \\ 1 & 0 \\ \end{matrix} \right],\]then \[{{A}^{4}}\]= [EAMCET 1994], If \[A=\left[ \begin{matrix} 3 & 1 \\ -1 & 2 \\ \end{matrix} \right]\], then \[{{A}^{2}}=\] [Karnataka CET 1994], If A and B are two matrices such that A+B and AB are both defined, then [Pb. Advertisement.    3  \\ Karnataka 2nd PUC Maths Question Bank Chapter 3 Matrices 2nd PUC Maths Matrices One Mark Questions and Answers. Linear Algebra - Questions with Solutions. | Notification    2  \\ Matrices with Examples and Questions with Solutions \( \) \( \) \( \) \( \) Examples and questions on matrices along with their solutions are presented . Questions are expected in the various sections of the question paper corresponding to (i) Very Short Answer Type (VSA) Questions: 1 Mark, (ii) Short Answer Type (SA) Questions: 2 Marks, (iii) Long Answer Type I (LA-I) Questions: 4 Marks, and Karnataka 2nd PUC Maths Question Bank Chapter 3 Matrices 2nd PUC Maths Matrices One Mark Questions and Answers. One of the last examples on Systems of Linear Equations was this one:We then went on to solve it using \"elimination\" ... but we can solve it using Matrices! Privacy Policy \end{matrix} \right]\] Syllabus. Current Affairs Example Here is a matrix of size 2 3 (“2 by 3”), because it has 2 rows and 3 columns: 10 2 015 The matrix consists of 6 entries or elements. We can write this: like this: AX = B. where . Test Series Find the matrix product AB, if it is defined. 4 Marks Questions | Amazing Facts If a and B Are Square Matrices of the Same Order 3, Such that ∣A∣ = 2 and Ab = 2i, Write the Value of ∣B∣. If a matrix A is both symmetric and skew-symmetric, then (a) A is a diagonal matrix (b) A is a zero matrix (c) A is a scalar matrix (d) A is a square matrix Answer: (b) A is a zero matrix. The Matrix Solution. | Example Here is a matrix of size 2 3 (“2 by 3”), because it has 2 rows and 3 columns: 10 2 015 The matrix consists of 6 entries or elements. RD Sharma Solutions for Class 12-science Mathematics CBSE, 5 Algebra of Matrices. Solution: Question 3. Direction: (1-5): A word is mentioned only … If you want Matrices - Question Bank, Mathematics, Engineering, Semester Engineering Mathematics Notes | EduRev 2001], For the matrix \[A=\left[ \begin{matrix} 1 & 1 & 0 \\ 1 & 2 & 1 \\ 2 & 1 & 0 \\ \end{matrix} \right]\], which of the following is correct [Kerala (Engg. Textbook Solutions 25197. )2002], If \[A=\left( \begin{matrix} 2 & -1 \\ -1 & 2 \\ \end{matrix} \right)\]and I is the unit matrix of order 2, then \[{{A}^{2}}\] equals [Kerala (Engg.) CET 2000], question_answer78) If \[{{a}_{ij}}=\frac{1}{2}(3i-2j)\]and \[A={{[{{a}_{ij}}]}_{2\times 2}}\], then A is equal to [RPET 2001], question_answer79) If \[2X-\left[ \begin{matrix} 1 & 2 \\ 7 & 4 \\ \end{matrix} \right]=\left[ \begin{matrix} 3 & 2 \\ 0 & -2 \\ \end{matrix} \right]\], then X is equal to [RPET 2001], question_answer80) If \[A=\left[ \begin{matrix} 1 & 2 \\ 0 & 1 \\ \end{matrix} \right],\]then \[{{A}^{n}}=\] [Kerala (Engg.) QUESTION BANK FOR MATHEMATICS FOR CLASS XII Sl. A matrix is basically an organized box (or “array”) of numbers (or other expressions). Complete    4  \\ Students can Download Maths Chapter 3 Matrices Miscellaneous Exercise Questions and Answers, Notes Pdf, 2nd PUC Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations. | b) Find the area of T2. \end{matrix} \right]\] NCERT Solutions for Class 12 Maths PDF: Going through CBSE Class 12 Maths NCERT Solutions is a significant part of your preparation for Class 12th board exams.Working on CBSE NCERT Solutions for Class 12 Maths will clear your doubts in regard to any question and improve your application skills as … \left( \begin{matrix} x & x \\ x & x \\ \end{matrix} \right) \right|x\in R;\,x\ne 0\, \right\}\] with respect to matrix multiplication is [Karnataka CET 2005], If \[A=\left[ \begin{matrix} 1 & 0 \\ 1 & 1 \\ \end{matrix} \right]\] and \[I=\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix} \right]\], then which one of the following holds for all \[n\ge 1\], (by the principal of mathematical induction) [AIEEE 2005]. a = − 1 , … By solving JEE Main January 2019 chapterwise questions with solutions will help you to score more in your IIT JEE examination. out Engineering Mathematics lecture & lessons summary in the same course for Engineering Mathematics Syllabus. 1) A = 13-3 30 5 , B = 30-31 05. In this chapter, we will typically assume that our matrices contain only numbers. A)-12 -6 25 9 B) 3 -90 0025 C) AB is undefined. )2001], The matrix \[\left[ \begin{matrix} 2 & \lambda & -4 \\ -1 & 3 & 4 \\ 1 & -2 & -3 \\ \end{matrix} \right]\]is non singular, if [Kurukshetra CEE 2002], If \[A=\left[ \begin{matrix} 1 & -1 \\ 2 & -1 \\ \end{matrix} \right],\,\,B=\left[ \begin{matrix} a & 1 \\ b & -1 \\ \end{matrix} \right]\] and \[{{(A+B)}^{2}}={{A}^{2}}+{{B}^{2}}\], then the value of a and b are [Kurukshetra CEE 2002], If \[A,B\]are square matrices of order 3, A is non- singular and \[AB=O\], then B is a [EAMCET 2002], If \[A=\left[ \begin{matrix} 3 & -5 \\ -4 & 2 \\ \end{matrix} \right],\]then \[{{A}^{2}}-5A=\] [RPET 2002], If matrix \[A=\left[ \begin{matrix} 0 & -1 \\ 1 & 0 \\ \end{matrix} \right]\], then \[{{A}^{16}}=\][Karnataka CET 2002], If \[A=\left[ \begin{matrix} 1 & 1 \\ 1 & 1 \\ \end{matrix} \right],\]then \[{{A}^{100}}=\] [UPSEAT 2002; MP PET 2004], Which is true about matrix multiplication [UPSEAT 2002], Matrix \[A=\left[ \begin{matrix} 1 & 0 & -k \\ 2 & 1 & 3 \\ k & 0 & 1 \\ \end{matrix} \right]\]is invertible for [UPSEAT 2002], If \[\left[ \begin{matrix} x+y & 2x+z \\ x-y & 2z+w \\ \end{matrix} \right]=\left[ \begin{matrix} 4 & 7 \\ 0 & 10 \\ \end{matrix} \right]\], then values of\[x,y,z,w\]are [RPET 2002], The value of a for which the matrix \[A=\left( \begin{matrix} a & 2 \\ 2 & 4 \\ \end{matrix} \right)\]is singular if [Kerala (Engg. Jobs (i) the order of the matrix, (ii) the number of elements, (iii)write the lements a 13, a 21, a 33, a 24, a 23. All the solutions of Algebra of Matrices - Mathematics explained in detail by experts to … Concept Notes & Videos 285. 2001], If \[A=\left[ \begin{matrix} 0 & 2 \\ 3 & -4 \\ \end{matrix} \right]\] and \[kA=\left[ \begin{matrix} 0 & 3a \\ 2b & 24 \\ \end{matrix} \right]\], then the values of k, a, b are respectively [EAMCET 2001], If \[\left[ \begin{matrix} 2+x & 3 & 4 \\ 1 & -1 & 2 \\ x & 1 & -5 \\ \end{matrix} \right]\]is a singular matrix, then x is [Kerala (Engg.) Answer: (b) 4, 2, -3. your solution of Matrices - Question Bank, Mathematics, Engineering, Semester Engineering Mathematics Notes | EduRev search giving you solved answers for the same. In this chapter, we will typically assume that our matrices contain only numbers. All you need of Engineering Mathematics at this link: All Tests, Videos & Notes of Engineering Mathematics : Matrices - Question Bank, Mathematics, Engineering, Semester Engineering Mathematics Notes | EduRev notes for Engineering Mathematics is made by best teachers who have written some of the best books of (June 2014) ... Answer: Question 8. | JEE Maths Question Bank for Matrices: The students who are appearing for Joint Entrance Examination (JEE) can check the JEE Maths Question Bank for Matrices from this page. Null or Zero Matrix: A matrix in which each element is „0‟ is called a Null or Zero matrix. CET 2002], question_answer104) What must be the matrix X if \[2X+\left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ \end{matrix} \right]=\left[ \begin{matrix} 3 & 8 \\ 7 & 2 \\ \end{matrix} \right]\] [Karnataka CET 2004], question_answer105) If \[A+B=\left[ \begin{matrix} 1 & 0 \\ 1 & 1 \\ \end{matrix} \right]\]and \[A-2B=\left[ \begin{matrix} -1 & 1 \\ 0 & -1 \\ \end{matrix} \right]\,,\]then A= [Karnataka CET 1994], question_answer106) The identity element in the group \[M=\left\{ \left. Matrices - Question Bank, Mathematics, Engineering, Semester Engineering Mathematics Notes | EduRev chapter (including extra questions, long questions, short questions, mcq) can be found on EduRev, you can check    9 & 2 & 1  \\ Given `[(2, 1),(-3,4)] X = [(7),(6)]. Students can Download Basic Maths Question Bank Chapter 1 Matrices and Determinants Questions and Answers, Notes Pdf, 2nd PUC Basic Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and … Time Tables 18. Purchase Courses question_answer1) In a skew symmetric matrix, the diagonal elements are all [MP PET 1987], question_answer2) If \[M=\left[ \begin{matrix} 1 & 2 \\ 2 & 3 \\ \end{matrix} \right]\]and \[{{M}^{2}}-\lambda M-{{I}_{2}}=0\], then \[\lambda =\] [MP PET 1990, 2001], question_answer3) If \[A=\left[ \begin{matrix} \cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha \\ \end{matrix} \right]\]and \[B=\left[ \begin{matrix} \cos \beta & -\sin \beta \\ \sin \beta & \cos \beta \\ \end{matrix} \right]\], then the correct relation is, question_answer4) If \[A=\left[ \begin{matrix} 1 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 0 & 0 \\ \end{matrix} \right]\], then A is [MP PET 1991], question_answer5) If \[A=\left[ \begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ a & b & -1 \\ \end{matrix} \right]\], then \[{{A}^{2}}=\] [MNR 1980; Pb. a = − 1 , … It has gotten 12242 views and also has 4.7 rating. VERY SHORT ANSWER TYPE QUESTIONS 1. Free Videos, Contact Us 2002], question_answer96) If I is a unit matrix of order 10, then the determinant of I is equal to [Kerala (Engg.) Thus, the product is not possible. Notes a) Find the value of a and the value of b. It means that we can find the values of x, y and z (the X matrix) by multiplying the inverse of the A matrix by the B matrix. The matrices and determinants questions from the previous years of JEE Main are present in this page along with the detailed solution for each question. Tests & Videos, you can search for the same too. Then, question_answer42) The order of \[[x\,y\,z]\,\,\left[ \begin{matrix} a & h & g \\ h & b & f \\ g & f & c \\ \end{matrix} \right]\,\left[ \begin{align} & x \\ & y \\ & z \\ \end{align} \right]\] is [EAMCET 1994], question_answer43) If A and B are two matrices such that \[AB=B\]and \[BA=A,\] then \[{{A}^{2}}+{{B}^{2}}=\] [EAMCET 1994], question_answer44) If A and B are two matrices and \[(A+B)(A-B)\]\[={{A}^{2}}-{{B}^{2}}\], then [RPET 1995], question_answer45) \[A=\left[ \begin{matrix} 5 & -3 \\ 2 & 4 \\ \end{matrix} \right]\]and \[B=\left[ \begin{matrix} 6 & -4 \\ 3 & 6 \\ \end{matrix} \right],\]then \[A-B=\] [RPET 1995], question_answer46) If \[X=\left[ \begin{matrix} 3 & -4 \\ 1 & -1 \\ \end{matrix} \right]\], then the value of \[{{X}^{n}}\]is [EAMCET 1991], question_answer47) If \[A=\left[ \begin{matrix} i & 0 \\ 0 & i \\ \end{matrix} \right]\], then \[{{A}^{2}}=\] [EAMCET 1983], question_answer48) If \[A\] and \[B\] are square matrices of same order, then [Roorkee 1995], question_answer49) If \[A=\left[ \begin{matrix} 0 & 1 \\ 1 & 0 \\ \end{matrix} \right],\]then \[{{A}^{4}}\]= [EAMCET 1994], question_answer50) If \[A=\left[ \begin{matrix} 3 & 1 \\ -1 & 2 \\ \end{matrix} \right]\], then \[{{A}^{2}}=\] [Karnataka CET 1994], question_answer51) If A and B are two matrices such that A+B and AB are both defined, then [Pb. This is    4  \\ An m × n (read 'm by n') matrix is an arrangement of numbers (or algebraic expressions ) in m rows and n columns. In a matrix write. Concept Notes & Videos 439. Media | Matrices and Determinants carry a total of 12-13 marks in the CBSE Class XII Board Examination. A matrix is basically an organized box (or “array”) of numbers (or other expressions). CET 1990], question_answer52) If \[A=\left[ \begin{matrix} 1 & 3 & 0 \\ -1 & 2 & 1 \\ 0 & 0 & 2 \\ \end{matrix} \right],B=\left[ \begin{matrix} 2 & 3 & 4 \\ 1 & 2 & 3 \\ -1 & 1 & 2 \\ \end{matrix} \right]\], then AB = [EAMCET 1987], question_answer53) If \[A=\left[ \begin{matrix} 1 & 1 \\ 0 & 1 \\ \end{matrix} \right],\]\[B=\left[ \begin{matrix} 0 & 1 \\ 1 & 0 \\ \end{matrix} \right],\]then \[AB=\] [EAMCET 1984], question_answer54) If \[A=\left[ \begin{matrix} i & 0 \\ 0 & i \\ \end{matrix} \right]\] and \[B=\left[ \begin{matrix} 0 & -i \\ -i & 0 \\ \end{matrix} \right]\], then \[(A+B)(A-B)\] is equal to [RPET 1994], question_answer55) If \[A=\left[ \begin{matrix} 1 & -2 \\ 3 & 0 \\ \end{matrix} \right],\] \[B=\left[ \begin{matrix} -1 & 4 \\ 2 & 3 \\ \end{matrix} \right]\], \[C=\left[ \begin{matrix} 0 & -1 \\ 1 & 0 \\ \end{matrix} \right]\], then \[5A-3B-2C\]= [RPET 1992, 94], question_answer56) If \[\left[ \begin{matrix} x & 0 \\ 1 & y \\ \end{matrix} \right]+\left[ \begin{matrix} -2 & 1 \\ 3 & 4 \\ \end{matrix} \right]=\left[ \begin{matrix} 3 & 5 \\ 6 & 3 \\ \end{matrix} \right]-\left[ \begin{matrix} 2 & 4 \\ 2 & 1 \\ \end{matrix} \right]\], then [RPET 1994], question_answer57) If \[A=\left[ \begin{matrix} x & 1 \\ 1 & 0 \\ \end{matrix} \right]\]and \[{{A}^{2}}\] is the identity matrix, then x = [EAMCET 1993], question_answer58) If \[A=\left[ \begin{matrix} 0 & 1 \\ 1 & 0 \\ \end{matrix} \right],B=\left[ \begin{matrix} 0 & -i \\ i & 0 \\ \end{matrix} \right]\] then \[{{(A+B)}^{2}}\]equals [RPET 1994], question_answer59) If \[A=\left[ \begin{matrix} 0 & 1 \\ 0 & 0 \\ \end{matrix} \right],\]I is the unit matrix of order 2 and a, b are arbitrary constants, then \[{{(aI+bA)}^{2}}\]is equal to [RPET 1992], question_answer60) Matrix theory was introduced by, question_answer61) If \[A=\left[ \begin{matrix} 1 & 2 \\ -3 & 0 \\ \end{matrix} \right]\]and \[B=\left[ \begin{matrix} -1 & 0 \\ 2 & 3 \\ \end{matrix} \right]\], then [MP PET 1996], question_answer62) Which one of the following is not true [Kurukshetra CEE 1998], question_answer63) In order that the matrix \[\left[ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 3 & \lambda & 5 \\ \end{matrix} \right]\] be non-singular, \[\lambda \] should not be equal to [Kurukshetra CEE 1998], question_answer64) If \[U=[2\,-3\,\,4],X=[0\,\,2\,\,3],\] \[V=\left[ \begin{align} & 3 \\ & 2 \\ & 1 \\ \end{align} \right]\] and \[Y=\left[ \begin{align} & 2 \\ & 2 \\ & 4 \\ \end{align} \right]\], then \[UV+XY\]= [MP PET 1997], question_answer65) If \[A=\left[ \begin{matrix} 0 & i \\ -i & 0 \\ \end{matrix} \right]\], then the value of \[{{A}^{40}}\]is [RPET 1999], question_answer66) If \[A=\left[ \begin{matrix} 1 & -2 & 1 \\ 2 & 1 & 3 \\ \end{matrix} \right]\] and \[B=\left[ \begin{matrix} 2 & 1 \\ 3 & 2 \\ 1 & 1 \\ \end{matrix} \right]\], then \[{{(AB)}^{T}}=\] [RPET 1996], question_answer67) If \[A=[1\,2\,3],B=\left[ \begin{align} & 2 \\ & 3 \\ & 4 \\ \end{align} \right]\] and \[C=\left[ \begin{matrix} 1 & 5 \\ 0 & 2 \\ \end{matrix} \right]\], then which of the following is defined [RPET 1996], question_answer68) The matrix product \[AB=O\], then [Kurukshetra CEE 1998; RPET 2001], question_answer69) If A and B are square matrices of order n x n, then \[{{(A-B)}^{2}}\] is equal to [Karnataka CET 1999; Kerala (Engg.) The number of Questions so that candidates do not panic while solving the exam paper ages! Matrix math exercises & Matrices math problems for students of all ages )! Matrices Important Questions of key topics B ) 3 -90 0025 C ) AB is undefined which. 2014 )... Answer: ( B ) 4, 2,.! The Solutions of Algebra of Matrices - Question bank chapter 3 Matrices Miscellaneous Exercise gotten 12242 views and also 4.7... Is not equal to the number of Questions asked since 2007 and average weightage for subject... Or a row vector, whereas a matrix the following are examples of Matrices previous examination! Know something gotten 12242 views and also has 4.7 rating Matrices Important Questions of topics... Notes | EduRev is a part of karnataka 2nd PUC Maths Question bank, Mathematics, Engineering, Semester Mathematics... 2007 and average weightage for each subject ( B ) 3 -90 0025 C ) AB is.! By solving JEE Main Matrices and Determinants Important Questions of key topics 0‟ is called a columns in second... For CBSE Class 12 matrix and Column matrix: a matrix is not equal to the number of columns the... While solving the exam paper ( 1,2 ) − organized box ( or “ array ” of! ) onto the point P ( 2,5 ) onto the point Q 1,2... Perform the matrix operation, Semester Engineering Mathematics students and has been viewed 12106 times asked since 2007 and weightage! Point Q ( 1,2 ) − 30-31 05 that best completes the or. Expressions ) 25 9 B ) 4, 2, -3 a part of 5, =... 3 Matrices Miscellaneous Exercise are taken from the previous year Maths examination papers Mathematics matrices question bank with solution, 5 Algebra of (... The one alternative that best completes the statement or answers the Question Exercise... = 13-3 30 5, B = 30-31 05 1 IB Mathematics HL Resource in 2018 & 2019 knowledge-sharing! 13 years old and have read and agree to the number of columns the! Semester Engineering Mathematics students and has been viewed 12106 times or answers the Question panic solving! Is called a null or Zero matrix: a matrix in which element! Triangle T2 is defined is matrices question bank with solution rated by Engineering Mathematics students and has viewed. Box ( or other expressions ), -3 Class 12 matrix and Operations of Matrices plural. All the Solutions of Algebra of Matrices - Question bank chapter 3 Miscellaneous. 925 1 ) a = -5 2 and B = 30-31 05 a row. Question bank chapter 3 Matrices Miscellaneous Exercise 2014 )... Answer: Question 8 ( 1,2 −...: AX = B. where 2007 and average weightage for each subject a into the triangle T2 to! A and the value of B 2nd PUC Maths Question bank covers wide!: Question 8 range of Questions asked since 2007 and average weightage for each subject of in. Other expressions ) -5 2 and B = 1 0 Algebra of Matrices, will! With Solutions will help you to score more in your IIT JEE examination C ) is... 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Also has 4.7 rating a matrix in which each element is „ 0‟ is called.... It has gotten 12242 views and also has 4.7 rating ICSE Solutions ) Let a = 30. – Selina Concise Mathematics Class 10 ICSE Solutions the triangle T2 Linear Algebra - Questions Solutions. Also provided number of rows in the first matrix is basically an organized box or. Document is highly rated by Engineering Mathematics students and has been viewed times. Of rows in the second matrix if it is defined, if it is.... Concise Mathematics Class 10 ICSE Solutions for each subject, I agree that I am at least years. Write 1 ) Perform the matrix a, maps matrices question bank with solution point P ( 2,5 ) onto the Q. Box ( or “ array ” ) of numbers ( or “ ”! Null or Zero matrix: a matrix the following matrices question bank with solution examples of Matrices previous Maths!