Elective Mathematics

Question 1

1The determinant of [[4, 6], [2, 3]] is

Easy

A. 12 B. 0 C. 24 D. −24

Question 2

2The matrix (1 0; 0 −1) represents

Easy

A. a shear B. a rotation of 180° C. a reflection in the x-axis D. a reflection in the y-axis

Question 3

3The angle between vectors a and b with a · b = 0 is

Easy

A. 90° B. 45° C. 180° D. 0°

Question 4

4The identity matrix of order 2 is

Easy

A. [[0, 0], [0, 0]] B. [[0, 1], [1, 0]] C. [[1, 0], [0, 1]] D. [[1, 1], [1, 1]]

Question 5

5Find the product [[1, 2], [0, 1]] × [[3], [4]].

Easy

A. [[7], [4]] B. [[11], [4]] C. [[11], [3]] D. [[3], [8]]

Question 6

6A is (2, 4) and B is (6, 0). What is the position vector of the midpoint of AB?

Easy

A. (2, −2) B. (8, 4) C. (4, 4) D. (4, 2)

Question 7

7If a · b = ½|a||b|, what is the angle between a and b?

Medium

A. 60° B. 30° C. 45° D. 90°

Question 8

8The image of the point (1, 2) under the matrix [[2, 0], [0, 3]] is

Hard

A. (1, 6) B. (3, 2) C. (2, 3) D. (2, 6)

Question 9

9The matrix [[0, −1], [1, 0]] represents a rotation of

Medium

A. 90° clockwise B. a reflection in y = x C. 180° D. 90° anticlockwise about the origin

Question 10

10The matrix (0 −1; 1 0) represents

Medium

A. a reflection in the x-axis B. a translation C. a rotation of 90° anticlockwise about the origin D. an enlargement by 2