{"id":19225,"date":"2022-06-03T14:00:23","date_gmt":"2022-06-03T08:30:23","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=19225"},"modified":"2022-05-21T12:27:27","modified_gmt":"2022-05-21T06:57:27","slug":"mcq-questions-for-class-12-maths-chapter-3","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/mcq-questions-for-class-12-maths-chapter-3\/","title":{"rendered":"MCQ Questions for Class 12 Maths Chapter 3 Matrices with Answers"},"content":{"rendered":"

Students can access the NCERT MCQ Questions for Class 12 Maths Chapter 3 Matrices with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 12 Maths with Answers<\/a> during preparation and score maximum marks in the exam. Students can download the Matrices Class 12 MCQs Questions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 12 Maths Chapter 3 Matrices Objective Questions.<\/p>\n

Matrices Class 12 MCQs Questions with Answers<\/h2>\n

Students are advised to solve the Matrices Multiple Choice Questions of Class 12 Maths to know different concepts. Practicing the MCQ Questions on Matrices Class 12 with answers will boost your confidence thereby helping you score well in the exam.<\/p>\n

Explore numerous MCQ Questions of Matrices Class 12 with answers provided with detailed solutions by looking below.<\/p>\n

Question 1.
\nIf A = [aij<\/sub>]m \u00d7 n<\/sub> is a square matrix, if:
\n(a) m < n
\n(b) m > n
\n(c) m = n
\n(d) None of these.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) m = n<\/p>\n<\/details>\n

\n

Question 2.
\nWhich of the given values of x and y make the following pair of matrices equal:
\n\\(\\left[\\begin{array}{cc}
\n3 x+7 & 5 \\\\
\ny+1 & 2-3 x
\n\\end{array}\\right]\\) \\(\\left[\\begin{array}{lc}
\n0 & y-2 \\\\
\n8 & 4
\n\\end{array}\\right]\\)
\n(a) x = –\\(\\frac { 1 }{3}\\), y = 7
\n(b) Not possible to find
\n(c) y = 7, x = –\\(\\frac { 2 }{3}\\)
\n(d) x = –\\(\\frac { 1 }{3}\\), y = –\\(\\frac { 2 }{3}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) Not possible to find<\/p>\n<\/details>\n

\n

Question 3.
\nThe number of all possible matrices of order 3 \u00d7 3 with each entry 0 or 1 is
\n(a) 27
\n(b) 18
\n(c) 81
\n(d) 512.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 512.<\/p>\n<\/details>\n

\n

Assume X, Y, Z, W and P are matrices of order 2 \u00d7 n, 3 \u00d7 1, 2 \u00d7 p, n \u00d7 3 and p \u00d7 k respectively. Now answer the following (4-5):
\nQuestion 4.
\nThe restrictions on n, k and p so that PY + WY will be defined are
\n(a) k = 3, p = n
\n(b) k is arbitrary, p = 2
\n(c) p is arbitrary
\n(d) k = 2,p = 3.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) k = 3, p = n<\/p>\n<\/details>\n

\n

Question 5.
\nIf n =p, then the order of the matrix 7X – 5Z is:
\n(a) p \u00d7 2
\n(b) 2 \u00d7 n
\n(c) n \u00d7 3
\n(d) p \u00d7 n.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 2 \u00d7 n<\/p>\n<\/details>\n

\n

Question 6.
\nIf A, B are symmetric matrices of same order, then AB – BA is a
\n(a) Skew-symmetric matrix
\n(b) Symmetric matrix
\n(c) Zero matrix
\n(d) Identity matrix.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) Skew-symmetric matrix<\/p>\n<\/details>\n

\n

Question 7.
\nIf A = \\(\\left[\\begin{array}{l}
\n\\cos \\alpha-\\sin \\alpha \\\\
\n\\sin \\alpha \\cos \\alpha
\n\\end{array}\\right]\\) then A + A’ = I, the value of \u03b1 is
\n(a) \\(\\frac { \u03c0 }{6}\\)
\n(b) \\(\\frac { \u03c0 }{3}\\)
\n(c) \u03c0
\n(d) \\(\\frac { 3\u03c0 }{2}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) \\(\\frac { \u03c0 }{6}\\)<\/p>\n<\/details>\n

\n

Question 8.
\nMatrices A and B will be inverse of each other only if:
\n(a) AB = BA
\n(b) AB – BA = O
\n(c) AB = O, BA = I
\n(d) AB = BA = I.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) AB = BA = I.<\/p>\n<\/details>\n

\n

Question 9.
\nIf A = \\(\\left[\\begin{array}{lr}
\n\\alpha & \\beta \\\\
\n\\gamma & -\\alpha
\n\\end{array}\\right]\\) is such that A\u00b2 = I, then
\n(a) 1 + \u03b1\u00b2 + \u00df\u03b3 = 0
\n(b) 1 – \u03b1\u00b2 + \u00df\u03b3 = 0
\n(c) 1 – \u03b1\u00b2 – \u00df\u03b3 = 0
\n(d) 1 + \u03b1\u00b2 – \u00df\u03b3 = 0<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 1 – \u03b1\u00b2 – \u00df\u03b3 = 0<\/p>\n<\/details>\n

\n

Question 10.
\nIf a matrix is both symmetric and skew- symmetric matrix, then:
\n(a) A is a diagonal matrix
\n(b) A is a zero matrix
\n(c) A is a square matrix
\n(d) None of these.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) A is a zero matrix<\/p>\n<\/details>\n

\n

Question 11.
\nIf A is a square matrix such that A\u00b2 = A, then (I + A)\u00b3 – 7A is equal to :
\n(a) A
\n(b) I – A
\n(c) I
\n(d) 3A.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) I<\/p>\n<\/details>\n

\n

Question 12.
\nThe matrix A = \\(\\left[\\begin{array}{lll}
\n0 & 0 & 5 \\\\
\n0 & 5 & 0 \\\\
\n5 & 0 & 0
\n\\end{array}\\right]\\) is a
\n(a) scalar matrix
\n(b) diagonal matrix
\n(c) unit matrix
\n(d) square matrix.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) square matrix.<\/p>\n<\/details>\n

\n

Question 13.
\nIf matrix A = [aij<\/sub>]2×2<\/sub>
\nwhere aij<\/sub> = 1 if i \u2260 j = 0 if i = j,
\n(a) I
\n(b) A
\n(c) O
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) I<\/p>\n<\/details>\n

\n

Question 14.
\n\"MCQ
\nthen A – B is equal to
\n(a) I
\n(b) O
\n(c) 2I<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 2I<\/p>\n<\/details>\n

\n

Question 15.
\nIf A is a matrix of order m \u00d7 n and B is a matrix such that AB’ and B’A are both defined, then order of matrix B is
\n(a) m \u00d7 m
\n(b) n \u00d7 n
\n(c) n \u00d7 m
\n(d) m \u00d7 n.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) m \u00d7 n.<\/p>\n<\/details>\n

\n

Question 16.
\nFor any two matrices A and B, we have :
\n(a) AB = BA
\n(b) AB \u2260 BA
\n(c) AB = 0
\n(d) None of these.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) None of these.<\/p>\n<\/details>\n

\n

Question 17.
\nThe number of 3 \u00d7 3 non-singular matrices, with four entries as 1 and all other entries as 0, is:
\n(a) less than 4
\n(b) 5
\n(c) 6
\n(d) at least 7.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) at least 7.
\nHint:
\nFirst row with exactly one zero total number of cases = 6.
\nFirst row with 2 zeroes, we get more cases.
\n\u2234 Total no. of non-singular matrices = 7.<\/p>\n<\/details>\n

\n

Question 18.
\nIf A is an 3 \u00d7 3 non-singular matrix such that AA’ = A’A and B = A-1<\/sup> A’, then BB’ equals
\n(a) I
\n(b) B-1<\/sup>
\n(c) (B-1<\/sup>)’
\n(d) I + B.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) I
\nB = A-1<\/sup>A’
\n\u21d2 AB = A’
\nABB’ = A’B’
\n\u21d2 ABB’ = (BA)’ = (A-1<\/sup> A’A)’
\n= (A-1<\/sup> AA’)’ = (A’)’ = A
\nBB’ = I.<\/p>\n<\/details>\n

\n

Fill in the Blanks<\/span><\/p>\n

Question 1.
\nIf \\(\\left[\\begin{array}{ll}
\n1 & 2 \\\\
\n2 & 1
\n\\end{array}\\right]\\) \\(\\left[\\begin{array}{l}
\nx \\\\
\ny
\n\\end{array}\\right]\\) = \\(\\left[\\begin{array}{l}
\n5 \\\\
\n4
\n\\end{array}\\right]\\) then value of y is ………………..<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: 2.<\/p>\n<\/details>\n

\n

Question 2.
\nIf A is an m \u00d7 n matrix such that AB and BA are defind, then B is of order …………….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: n \u00d7 m.<\/p>\n<\/details>\n

\n

Question 3.
\nA diagonal matrices is said to be ……………… if its diagonal elements are equal (other than unity).<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: scalar.<\/p>\n<\/details>\n

\n

Question 4.
\nFor a 2 \u00d7 2 matrix, A = [aij<\/sub>], whose elements are given by aij<\/sub> = \\(\\frac { i }{j}\\), then a12<\/sub> = ………………..<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: \\(\\frac {1}{2}\\)<\/p>\n<\/details>\n

\n

Question 5.
\nIf \\(\\left[\\begin{array}{cc}
\na-b & 2 a+c \\\\
\n2 a-b & 3 c+d
\n\\end{array}\\right]\\) = \\(\\left[\\begin{array}{cc}
\n-1 & 5 \\\\
\n0 & 13
\n\\end{array}\\right]\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: 1<\/p>\n<\/details>\n

\n

Question 6.
\nIf A is a square matrix of order m, and if there exists another square matrix B of the same order m, such that AB = BA = I, then B is called the ……………….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: inverse of A.<\/p>\n<\/details>\n

\n

Question 7.
\nIf A is of order m \u00d7 n and B is also of order m \u00d7 n, then (A + B) is a matrix of order ………………..<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: m \u00d7 n.<\/p>\n<\/details>\n

\n

Question 8.
\nIf [5 x 1] \\(\\left[\\begin{array}{l}
\n4 \\\\
\n2 \\\\
\n7
\n\\end{array}\\right]\\) = 35 then x = ………………<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: 4<\/p>\n<\/details>\n

\n

Question 9.
\nFor any matrix A, A – A’ is …………….. matrix.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: Skew-symmetric.<\/p>\n<\/details>\n

\n

Question 10.
\nIf A = \\(\\left[\\begin{array}{cc}
\n2 & -2 \\\\
\n-2 & 2
\n\\end{array}\\right]\\) and A\u00b2 = \u03bbA, then \u03bb = ………………..<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: 4<\/p>\n<\/details>\n

\n

We believe the knowledge shared regarding NCERT MCQ Questions for Class 12 Maths Chapter 3 Matrices with Answers Pdf free download has been useful to the possible extent. If you have any other queries regarding CBSE Class 12 Maths Matrices MCQs Multiple Choice Questions with Answers, feel free to reach us via the comment section and we will guide you with the possible solution.<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can access the NCERT MCQ Questions for Class 12 Maths Chapter 3 Matrices with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 12 Maths with Answers during preparation and score maximum marks in the exam. Students can download …<\/p>\n

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