MCQs Questions for Class 12 Maths Chapter 3 Matrices

# MCQs Questions for Class 12 Maths Chapter 3 Matrices

MCQs Questions for Class 12 Maths Chapter 3 Matrices

In this 21st century, Multiple Choice Questions (MCQs) play a major role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns.

In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should more focus on the MCQ questions. Thus, let’s solve these MCQs Questions to make our foundation very strong.

In this post, you will find 15 MCQs questions for class 12 maths chapter 3 matrices.

MCQs Questions for Class 12 Maths Chapter 3 Matrices

1. If the order of a matrix is m × n, then the number of elements in the matrix is
(a) mn2
(b) m2 n2
(c) mn
(d) 2mn

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

3. A matrix A = [aij]m×n is said to be symmetric matrix, if
(a) aij = 0
(b) aij = aji
(c) aij = aij
(d) aij = 1

4. If A is a square matrix, then A – A’ is a
(a) diagonal matrix
(b) symmetric matrix
(c) skew-symmetric matrix
(d) none of these

5. If A is a square matrix, then which of the following is a skew-symmetric matrix?
(a) A + AT
(b) A – AT
(c) AAT
(d) ATA

6. The matrix which follows the conditions m = n is called a
(a) Square matrix
(b) Rectangular matrix
(c) Scalar matrix
(d) Diagonal matrix

7. A matrix A = [aij]m×n is said to be skew-symmetric matrix, if
(a) aij = 0
(b) aij = aji
(c) aij = -aji
(d) aij = 1

8. If A2 – A + I = O, then the inverse of A is equal to
(a) I – A
(b) A – I
(c) A
(d) A + I

9. For any square matrix A, AAT is a
(a) unit matrix
(b) symmetric matrix
(c) skew-symmetric matrix
(d) diagonal matrix

10. Which of the following conditions is not correct for matrix multiplication?
(a) A(BC) = (AB)C
(b) A(B+C) = AB+AC
(c) AB = 0 if either A or B is 0
(d) AB = BA

11. If A and B are square matrices, then (AB)’ is equal to
(a) B’A’
(b) A’B’
(c) AB’
(d) A’B’

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

13. 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

14. Which of the following conditions holds true for a skew-symmetric matrix?
(a) A = IA
(b) A = |A|
(c) A = A’
(d) A = -A’