Elective Mathematics

Question 1

1Find AB if A = [[1, 2], [3, 4]] and B = [[1], [1]].

Easy

A. [[3], [7]] B. [[1], [2]] C. [[4], [6]] D. [[2], [3]]

Question 2

2The transpose of [[1, 2], [3, 4]] is

Easy

A. [[1, 2], [3, 4]] B. [[2, 1], [4, 3]] C. [[4, 3], [2, 1]] D. [[1, 3], [2, 4]]

Question 3

3If A = [[1, 2], [3, 4]], find 2A.

Easy

A. [[2, 2], [3, 4]] B. [[3, 4], [5, 6]] C. [[2, 4], [6, 8]] D. [[1, 4], [9, 16]]

Question 4

4A 2 × 3 matrix is multiplied by a 3 × 2 matrix. What is the order of the product?

Easy

A. 2 × 3 B. 3 × 3 C. 2 × 2 D. they cannot be multiplied

Question 5

5The order of a matrix with 2 rows and 3 columns is

Easy

A. 6 B. 3 × 2 C. 5 D. 2 × 3

Question 6

6If [[x, 2], [3, 4]] [[1], [2]] = [[7], [11]], find x.

Hard

A. 3 B. 5 C. 2 D. 7

Question 7

7Find the determinant of the matrix (3 2; 1 4).

Easy

A. 14 B. −10 C. 10 D. 12

Question 8

8Find (1 2; 3 4) + (0 1; 1 0).

Easy

A. (1 3; 3 4) B. (0 2; 3 0) C. (1 3; 4 4) D. (1 2; 3 4)

Question 9

9Find the inverse of the matrix (2 1; 5 3).

Medium

A. (2 −1; −5 3) B. (3 −1; −5 2) C. (3 1; 5 2) D. (−3 1; 5 −2)

Question 10

10If A = [[2, 0], [1, 3]] and B = [[1, 1], [0, 2]], find A + B.

Easy

A. [[3, 0], [1, 5]] B. [[3, 1], [1, 5]] C. [[2, 0], [0, 6]] D. [[1, 1], [1, 1]]