Page 7 - Focus SPM KSSM 2021 Tingkatan 5 - Maths DLP

Mathematics Form 5 Chapter 2 Matrices

SPM Tips 4

• Row matrix has an order of 1 × n. Determine whether each of the following pairs of
• Column matrix has an order of m × 1. matrices is equal.
• Square matrix has an order of m × m. 6 11 6 11
• Rectangular matrix has an order of m × n. (a) P = 3 2 9 4 and Q = 3 2 9 4
4
(b) R = 3 4 and S = [4 1]
1
2 7 5 0 7 5 0
(c) T = 3 4 and U = 2 84 Chapter 2
Determine the order of the following matrices. 3 0.4 8 3 3 5
3
3 4 (d) V = 3 –2 4 4 and W = 3 –2 1 4
Chapter 2
4 15
1 15
(a) –1
8 Solution
(b) 3 21 7 4 (a) P and Q are equal.
(b) R and S are not equal because they do not have
–5 2
the same order.
Solution (c) T and U are equal.
(a) 3 × 1 3 rows and 1 column (d) V and W are not equal because their
corresponding elements are not equal, which are
(b) 2 × 2 2 rows and 2 columns v 21 ≠ w 21 and v 12 ≠ w 12 .

5
3
It is given that matrix E = 3 1 2 + y 4 and matrix
z – 4
–3
3 –4 6 4 F = 3 1 6 4 . Determine the values of x, y and z if
Given that matrix P = 12 0 , determine x 3z
9 –3 E = F.
(a) the element at the first row and 2 column. Solution
nd
(b) p 22 . E = F
(c) p 31 . 1 2 + y 1 6
=
Solution 3 –3 z – 4 4 3 x 3z 4 Element at the 2
nd
(a) 6 x = –3 row and first column
(b) 0 2 + y = 6 Element at the first
(c) 9 y = 6 – 2 row and 2 column
nd
= 4
Try Questions 2 – 3 in Try This! 2.1
z – 4 = 3z Element at the 2 row
nd
nd
–4 = 2z and 2 column
z = –2
C Determining whether two matrices
are equal Try Questions 4 – 6 in Try This! 2.1
1. Two matrices are equal if they are of the same Try This! 2.1
order and their corresponding elements are 1. Represent the following information in the form of
equal. For example, matrices.
if 3 a b 4 3 p q s 4 , then a = p, b = q, c = r (a) The table below shows the number of Form 4
=
and Form 5 members of two clubs in a school.
c d
r
and d = s. Science Club History Club
Form 4 35 40
Form 5 48 37

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