CUET Mathematics MCQs Matrices

Question. The number of 3 × 3 non-singular matrices, with four entries as 1 and all other entries as 0, is:
a) Less than 4
b) 6
c) 5
d) at least 7

Answer : D

Question. If A and B are two matrices of the order 3 × m and 3 × n, respectively, and m = n, then the order of matrix (5A – 2B) is
a) m × n
b) 3 × n
c) 3 × 3
d) m × 3

Answer : B

Question. If a matrix is both symmetric matrix and skew symmetric matrix then
a) None of these
b) A is a diagonal matrix
c) A is scalar matrix
d) A is zero matrix

Answer : D

Question. If a matrix has 6 elements, then number of possible orders of the matrix can be ____.
a) 3
b) 2
c) 6
d) 4

Answer : D

Question. If A and B are square matrices then (AB)’ =
a) A’B’
b) AB’
c) A’B’
d) B’A’

Answer : D

Question. If A is a square matrix such that A² = I, then (A - I)³ + (A + I)³ - 7A is equal to .............
a) I – A
b) 3A
c) A
d) I + A

Answer : C

Question. A² - A + I = 0 then the inverse of A
a) A + I
b) A – I
c) I – A
d) A

Answer : C

Question. A matrix A = [a_ij]_nxn is said to be symmetric if-
(a) a_ij = 0
(b) a_ij = a_ji
(c) a_ij = -a_ji
(d) a_ij = 1
a) d
b) c
c) a
d) b

Answer : D

Question. The restrictions on n, k and p so that PY + WY will be defined are
a) p is arbitrary
b) k = 2,p = 3
c) k is arbitrary, p = 2
d) k = 3, p = n

Answer : D

Question. A square matrix A = [a_ij]_nxn is called a daigomal matrix if aij = 0 for
(a) i = j
(b) i < j
(c) i > j
(d) i ≠ j
a) d
b) b
c) c
d) a

Answer : A

Question. If AB = A and BA = B, then
(a) B = I
(b) A = I
(c) A2 = A
(d) B2 = I
a) a
b) d
c) b
d) c

Answer : C

Question. If A is a square matrix such that A² = A, then (I - A)³ + A is equal to
a) 0
b) I – A
c) I
d) I + A

Answer : C

Question. If A and B are matrices of the same order, then (AB’ – BA’) is a
a) null matrix
b) unit matrix
c) symmetric matrix
d) skew-symmetric matrix

Answer : D

Question. If A and B are 2 x 2 matrices, then which of the following is treu
a) d
b) c
c) b
d) a

Answer : B

Question. If A is a square matrix, then A – A’ is a
a) Diagonal matrix
b) None of these
c) Symmetric matrix
d) Skew-symmetric matrix 

Answer : D

Question. For any square matrix A, AA^T is a
a) unit matrix
b) Symmetric matrix
c) Skew-symmetric matrix
d) Diagonal matrix

Answer : B

Question. For any two matrices A and B, we have
a) AB ≠ BA
b) None of the above
c) AB = O
d) AB = BA

Answer : B

Question. If A and B are symmetric matrices of the same order, then
a) A – Bis askew-symmetric matrix
b) AB – BA is a symmetric matrix
c) AB is a symmetric matrix
d) AB + BA is a symmetric matrix

Answer : D

Question. If A is an m × n matrix such that AB and BA are both defined, then B is a ____.
a) n × m matrix
b) n × n matrix
c) m × n matrix
d) m × n matrix

Answer : A

Question. If a matrix A is both symmetric and skew symmetric then matrix A is
a) a rectangular matrix
b) a scalar matrix
c) a zero matrix of order n × n
d) a diagonal matrix

Answer : C

Question. Which of the following is not a possible ordered pair for a matrix with 6 elements
a) (3,2)
b) (2,3)
c) (1,6)
d) (3,1)

Answer : D

Question. If n = p, then the order of the matrix 7X – 5Z is:
a) p × n
b) n × 3
c) 2 × n
d) p × n

Answer : C

Question. If A is a matrix of order m × n and B is a matrix such that AB’ and B’A are both defined, then the order of matrix B is
a) n × m
b) m × n
c) n × n
d) m × m

Answer : B

Question. The diagonal elements of a skew symmetric matrix are
a) none of these
b) can be any number
c) all zeroes
d) are all equal to some scalar k(≠ 0)

Answer : C

Question. Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is
a) 27
b) 81
c) 9
d) 512

Answer : D

Question. If A² - A + I = O, then the inverse of A is
a) I – A
b) A – I
c) A
d) A + I

Answer : A

Question. A = [a_ij]_nxn is square matrix if
a) m > n
b) m = n
c) m < n
d) None of these

Answer : B

Question. If a matrix A is both symmetric and skew-symmetric, then?
(a) (A + B)² = A² + B² + 2AB 
(b) (A - B)² = A² + B² - 2AB 
(c) (A - B) (A + B) = A² + AB - BA - B² 
(d) (A + B) (A - B) = A² - B²
a) A is a zero matrix
b) A is a diagonal matrix
c) A is a scalar matrix
d) A is a square matrix

Answer : A

Question. Total number of possible matrices of order 2 × 3 with each entry 1 or 0 is ____.
a) 6
b) 36
c) 64
d) 32

Answer : C

Question. If matrices A and B are inverse of each other then
a) AB = BA = 0
b) AB = 0, BA = I
c) AB = BA = I
d) AB = BA

Answer : C