Class 12 Matrices: Concepts and Operations

Question 1

If a matrix has 6 elements, which of the following cannot be its order?

Accepted Answer

4x2

Answer

2x3

Answer

3x2

Answer

1x6

Question 2

Given A = [[2, 3], [1, 4]] and B = [[-1, 0], [5, 2]], what is the result of A + B?

Accepted Answer

[[1, 3], [6, 6]]

Answer

[[3, 3], [-4, 2]]

Answer

[[2, 3], [5, 6]]

Answer

[[1, 0], [5, 4]]

Question 3

If matrix A = [[1, 2], [3, 4]], what is the matrix 3A?

Accepted Answer

[[3, 6], [9, 12]]

Answer

[[3, 2], [3, 4]]

Answer

[[1, 6], [9, 4]]

Answer

[[3, 6], [3, 4]]

Question 4

For two matrices A and B, if A is of order m x n and B is of order p x q, for the product AB to be defined, what condition must be satisfied?

Accepted Answer

n = p

Answer

m = p

Answer

n = q

Answer

m = q

Question 5

What is the product of an n x n square matrix A and the identity matrix I of the same order?

Accepted Answer

A

Answer

I

Answer

0 (zero matrix)

Answer

A^2

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