Matrices Class 12 Multiple Choice Test

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Matrices Class 12 (120301)

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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 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) \(|A|\ne {0}\)

3 / 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

4 / 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

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 a skew- symmetric matrix and n is a positive integer, then An is:

a) a symmetric matrix

b) skew–symmetric

c) diagonal matrix

d) None of these

8 / 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

9 / 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

10 / 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

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