Matrices

Appeared in 10 of the 11 available papers.

Examined in

10 of 11 papers

Appears almost every year — treat as core

Typically worth

5.5 marks

Average per paper it appears in · 55 marks in total

Usual form

Numerical

62% of this chapter's 26 questions

Needs a diagram

46%

12 questions carry a figure — practise drawing them

Question-type distribution

Numerical16
MCQ7
Short answer3

Most frequent topics

Matrices 26

Print:Questions only Questions + answers Answers only

Print chapter question bank

Showing 25 of 26 matching questions (55 marks).

25 questions

Choose the correct answers to the questions from the given options. (Do not copy the questions, write the correct answers only.)

1(xiv)2026

MCQEasy1 mark

Given matrix A = [[2, 3], [1, 2]] and matrix B = [2 −4]. Product AB is a matrix of order:

(a)2 × 2
(b)2 × 1
(c)1 × 2
(d)product AB is not possible

2(ii)2026

NumericalHard4 marks

Find the values of ‘a’ and ‘b’.

Choose the correct answers to the questions from the given options. (Do not copy the questions, write the correct answers only.)

1(v)2025

MCQEasy1 mark

If A = [[0, 1], [1, 0]], then A² is equal to:

(a)[[1, 1], [0, 0]]
(b)[[0, 0], [1, 1]]
(c)[[1, 0], [0, 1]]
(d)[[0, 1], [1, 0]]

3(ii)

Find:

3(ii)(a)2025

NumericalEasy1 mark

A + C

3(ii)(b)2025

NumericalEasy1 mark

B(A + C)

NumericalEasy1 mark

3(ii)(d)2025

NumericalEasy1 mark

B(A + C) − 5B

Choose the correct answers to the questions from the given options. (Do not copy the questions, write the correct answers only.)

1(iv)2024

MCQEasy1 mark

If matrix A = [[2, 2], [0, 2]] and A² = [[4, x], [0, 4]],

(a)2
(b)4
(c)8
(d)10

2(i)2024

NumericalHard4 marks

Find the values of x and y, if AB = C.

Choose the correct answers to the questions from the given options. (Do not copy the questions, write the correct answers only.)

1(i)2023

MCQEasy1 mark

the values of x and y respectively are :

(a)1, -2
(b)-2, 1
(c)1, 2
(d)-2, -1

4(i)2023

NumericalHard3 marks

Find A(B + C) - 14I.

Select the correct option for each of the following questions.

32021

MCQEasy1 mark

Question 3 The product AB of two matrices A and B is possible if:

(a)A and B have the same number of rows.
(b)The number of columns of A is equal to the number of rows of B.
(c)The number of rows of A is equal to the number of columns of B.
(d)A and B have the same number of columns

102021

MCQEasy1 mark

If A = [[5, 10], [3, -4]] and I = [[1, 0], [0, 1]], then AI is equal to

(a)[[1, 0], [0, 1]]
(b)[[5, 10], [-3, 4]]
(c)[[5, 10], [3, -4]]
(d)[[15, 15], [-1, -1]]

222021

MCQModerate2 marks

If A = [[3, 5], [1, 4]], B = [[2, 4], [0, 3]] and C = [[1, -1], [2, 1]], then 5A - BC is equal to:

(a)[[-5, -23], [1, 17]]
(b)[[5, 23], [1, 17]]
(c)[[-2, 8], [-3, 3]]
(d)[[5, 23], [-1, 17]]

1(b)2020

NumericalHard3 marks

Given matrix A = [[x, 3], [y, 3]], if A² = 3I, where I is the identity matrix of order 2, find x and y.

6(a)2020

NumericalHard3 marks

If A = [[3, 0], [5, 1]] and B = [[-4, 2], [1, 0]], find A² - 2AB + B²

3(a)2019

Short answerHard3 marks

Simplify:

7(c)

Given [[4, 2], [-1, 1]] M = 6I, where M is a matrix and I is unit matrix of order 2×2.

7(c)(i)2019

Short answerEasy1 mark

State the order of matrix M.

7(c)(ii)2019

NumericalHard3 marks

Find the matrix M.

1(a)2018

NumericalHard3 marks

Find the value of ‘x’ and ‘y’ if:

6(b)2018

NumericalHard3 marks

If A = [[2, 1], [0, 3]], B = [[0, 1], [-1, 2]] and C = [[1, -1], [2, 0]], find AC + B² - 10C.

2(b)2017

NumericalHard3 marks

If A = [[1, 3], [3, 4]] and B = [[-2, 1], [-3, 2]] and A² - 5B² = 5C. Find matrix C, where C is a 2 by 2 matrix.

5(a)2017

NumericalHard3 marks

Given matrix B = [[1, 1], [8, 3]], find the matrix X if X = B² - 4B. Hence solve for a and b given X * [[a], [b]] = [[5], [50]].

1(b)2016

NumericalHard4 marks

Given A = [[2, 0], [-1, 7]] and I = [[1, 0], [0, 1]] and A² = 9A + mI. Find m.

6(c)

Given matrix

6(c)

If AX = B

6(c)(i)2016

Short answerEasy1 mark

Write the order of matrix X.