Page 21 - Focus SPM KSSM 2021 Tingkatan 5 - Maths DLP

Mathematics Form 5 Chapter 2 Matrices

A 3 3 5 43 4 3 4 20. It is given that the inverse matrix of 3 2 1 4 is
8
p
=
q
4 6
12
6 5
SPM
1 5 –1
3
12
p
B 3 3 5 43 4 3 4 2019 m n 2 4 . Calculate the value of m + n.
=
q
8
4 6
A 2 C 4
p
8
C 3 3 4 43 4 3 4 B –4 D –2
=
q
12
5 6
12
p
D 3 3 4 43 4 3 4 PAPER 2
=
q
5 6
8
1. Represent the following information in the form of
matrices.
16. 2 3 6 –3 4 3 14 9 4 – 3 3 7 4 4 = (a) Wilson and Yasmins’s hobbies are collecting Chapter 2
+
11 5
–8 7
2 1
SPM stamps. Wilson has 126 local stamps and 98
2018 27 10 –1 6
A 3 5 13 4 C 3 –3 8 4 oversea stamps. Yasmin has 185 local stamps
and 103 oversea stamps.
Chapter 2
B 3 5 2 4 D 3 5 –9 4 (b) The table below shows the in-store and online
sales of three items in Yasmin’s shop.
13 10
8 14
Instant Tinned
17. It is given that K is a 2 × 2 matrix and Biscuit noodles food
SPM 1 4 m
–1
2018 K = 3 4 . Find the value of In-store 50 32 15
(–1)(4) – (–3)(2) –2 n
m and of n. Online 35 28 10
A m = 3, n = –1 C m = 3, n = 1
B m = –3, n = –1 D m = –3, n = 1
3
4
6
18. The table below shows Gopal’s and Fuad’s 2. It is given that matrix P = –4 –8 1 7 and p ij is
3
Mathematics marks in two tests. 0 2 9
an element of matrix P.
Test 1 Test 2 (a) State the order of matrix P.
Gopal 78 83 (b) State p 13 and p 32 .
(c) Find the value of p 21 + 4p 33 .
Fuad 54 67
Calculate the difference of their marks for each 5 –3
test. HOTS 3. It is given that matrix Q = 3 4 4 and matrix
Analysing 3 4
Test Test Test Test R = 3 5 –3 4 . If matrix Q and matrix R are equal,
1 2 1 2 0.75 2m
A [ 24 16 ] C [ 5 13 ] find the value of m.
Test Test Test Test
1 2 1 2 6 2 7
B [ 29 11 ] D [ 11 13 ] 4. It is given that M = 3 4 , N = 3 4 and P = 3 4 .
1
–3
5
Express each of the following as a single matrix.
19. The table below shows the amount of flour and red (a) M + N
bean paste required to make buns and breads. (b) (M + N) + P
(c) P – 3M
Red bean
Flour (d) 2N + M – 5P
paste
Bun 2 kg 1 kg 5. Find the product of each of the following.
7
Bread 3 kg 1 kg (a) 3 4 [–3 2]
–4
It is given that the prices of flour and red bean paste (b) 3 1 3 9 2 4
43
are RM2.50 per kilogram and RM9.00 per kilogram 2 5 –7 4
respectively. Calculate the costs, in RM, to make the (c) [8 7] 3 –1 4 4
buns and breads. HOTS Analysing 6 –3
4
4
A 3 18.00 buns C 3 18.50 buns 6. Lily and Jamilah want to buy sausages and nuggets

27.00 breads
27.00 breads
to sell on school canteen day. Table 1 shows the
4
4
B 3 20.50 buns D 3 14.00 buns quantity of sausages and nuggets they want to buy.

Table 2 shows the selling prices of sausages and
16.50 breads
29.50 breads
nuggets in two shops.
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