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## Matrices Class 12 Multiple Choice Test

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Thank you for answering the multiple choice test

Matrices Class 12 (120301)

Challenge Yourself …

1 / 10

If A is a square matrix such that A2 = I, then A-1 is equal to:

a) 2A

b) 0

c) A

d) A + I

2 / 10

If A, B are symmetric matrices of the same order, then the matrix AB – BA is:

a) 0

b) symmetric

c) I

d) skew–symmetric

3 / 10

If A is a 3×4 matrix and B is a matrix such that A’B and BA’ are both defined, then B is of the type:

a) 4×3

b) 3×4

c) 3×3

d) 4×4

4 / 10

If A is an invertible matrix, then which of the following is correct?

a) A-1 is multi-valued

b) A-1 is singular

c) $${(A^{-1})^T}\ne{(A^T)^{-1}}$$

d) $$|A|\ne {0}$$

5 / 10

If A is a symmetric matrix and n∈N, then An is:

a) symmetric

b) skew-symmetric

c) a diagonal matrix

d) None of these

6 / 10

The number of all possible matrices of order 3×3 with each entry 0 or 1 is:

a) 18

b) 81

c) 512

d) None of these

7 / 10

If A is an m×n matrix such that AB and BA are both defined, then B is an:

a) m×n matrix

b) n×m matrix

c) n×n matrix

d) m×m matrix

8 / 10

If A is a matrix of order 3×4, then each row of A has:

a) 3 elements

b) 4 elements

c) 12 elements

d) 7 elements

9 / 10

If a matrix A is symmetric as well as skew-symmetric then:

a) A is a diagonal matrix

b) A is a null matrix

c) A is a unit matrix

d) A is a triangular matrix

10 / 10

If A and B are two invertible matrices, then the inverse of AB is:

a) AB

b) BA

c) A-1 B-1

d) B-1A-1