Page 20 - Focus SPM KSSM 2021 Tingkatan 5 - Maths DLP

Mathematics Form 5 Chapter 2 Matrices

SPM Practice 2
SPM Practice

PAPER 1 15 6
8. Given that 3 4 – 3H = 2 3 4 , find matrix H.
1. The table below shows the number of breads and –7 1
1
3
cakes sold in Adila’s shop in January and February. A 3 4 C 3 4
1
–3
Month Bread Cake 1 –1 Chapter 2
3
1
January 50 65 B 3 4 D 3 4
February 42 45 4 1
9. [5 –3] 3 4 =
Chapter 2
Represent the sales of breads and cakes in January 7 –2
with a row matrix. A [1 7] C [13 17]
A [50 65] C [42 45] B [–1 11] D [2 11]
B 3 50 65 4 D 3 50 42 4 10. 3 1 –7 8 –9 4 =
43
65 45
42 45
–2 5
2
4
2. It is given that matrix G = 3 15 –1 10 4 and g 23 is A 3 36 23 4 C 3 7 –16 4
9
2
–2
3
16 18
3
an element of matrix G. State the value of g 23 . –20 –23 9 –16
A –2 C 3 B 3 4 28 4 D 3 2 7 4
B –1 D 9 8
11. Given that [x –3] 3 4 = [10], find the value of x.
x
=
3. It is given that 3 3x –5 4 3 12 –5 4 . Find the A 4 C 2
y + 1
3
6
3
value of x – y. B 3 D 1
A –2 C 4 12. Given that 3 2 m 43 4 3 –10 4 , find the value of
–1
=
B –1 D 5 8 5 4 4n
m and of n.
8
–5
+
–
4. 3 4 3 4 3 –16 4 = A m = 1, n = 3 C m = –3, n = 1
D m = –2, n = 3
B m = 2, n = 4
9
12
7
A 3 –13 4 C 3 –19 4 13. It is given that matrix P = 3 6 –2 4 , matrix
10
28
3 10
6
–3
B 3 4 D 3 4 Q = 3 1 8 4 and matrix I = 3 1 0 4 . Find the value
–9 4
4
0 1
5
of PI – Q.
3
5. 3 9 3 4 + 1 16 20 4 – 5 3 5 –3 4 = A 3 7 6 4 C 3 5 –10 4
2 4 14
1
–7 8
2
–6 14
12 6
A 3 32 10 4 C 3 8 17 4 B 3 14 –6 4 D 3 5 12 4
0 13
–2 5
6
7
–10 6
B 3 20 17 4 D 3 –8 28 4
–10 5
–2 24
14. Find the inverse matrix of 3 7 3 4 .
5 2
6. Given that 3 3 –2 p 7 4 – 2 3 5 3 4 3 –16 9 4 , A 3 2 –3 4 C 3 –2 3 4
=
4
1 – q 8
2
5
find the value of p and of q. –5 7 5 –7
A p = 4, q = 5 C p = 5, q = 4 B 3 –7 5 4 D 3 7 –3 4
B p = –4, q = 5 D p = 5, q = –4 3 –2 –5 2
15. Sofia bought 3 boxes of crayons and 5 boxes of
1
7. Given that m[3 –2] – [12 n] = [6 –11], find the SPM colour pencils. Suraya bought 4 boxes of crayons
4
value of m + n. 2017 and 6 boxes of colour pencils. It is given that each
box of crayon costs RM8 while each box of colour
A −12 C 12 pencil costs RM12. Which of the following is the
B 4 D 23 correct method to calculate the total payment to be
made by Sofia, p, and Suraya, q?
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02 Focus Math F5_E2021.indd 32 18/02/2021 2:32 PM