Elective Mathematics

Question 1

1A 2 × 2 matrix A has determinant 2. Find the determinant of 4A.

Hard

A. 6 B. 128 C. 32 D. 8

Question 2

2The determinant of [[2, 5], [2, 3]] is ___

Easy

Your answer (fill in the blank)

Question 3

3The identity matrix I satisfies

Easy

A. AI = I B. AI = 0 C. AI = IA = A D. AI = A²

Question 4

4(AB)⁻¹ = A⁻¹B⁻¹.

Hard

A. True B. False

Question 5

5A singular matrix has determinant zero.

Easy

A. True B. False

Question 6

6A matrix has an inverse only if its determinant is

Easy

A. zero B. one C. non-zero D. negative

Question 7

7A 2 × 3 matrix can be multiplied by a 3 × 2 matrix.

Easy

A. True B. False

Question 8

8Matrix multiplication AB is possible if

Easy

A. A = B B. rows of A = rows of B C. columns of A = rows of B D. A and B are square

Question 9

9The determinant of [[5, 6], [4, 6]] is ___

Easy

Your answer (fill in the blank)

Question 10

10Find AB where A = [[−1, 1], [−2, 0]] and B = [[−1, 0], [1, −2]].

Medium

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