Page 24 - Top Class F5 - Mathematics (Chapter 2)

Mathematics Form 5 Chapter 2 Matrices

1 9 –21 4 8 7 6 1 –6 q 3 4
+
– 2
4.       = 10. Given that   is an inverse matrix of   , find
3 3 6 –1 1 5 –2 p 5 3 –5 –6
 20 –7   7 4  the value of p and of q.
A 7 5 C 5 –2 Diberi bahawa 1 –6 q  ialah matriks songsang bagi  3 4  ,

p 5 3
–7 –11
B  14 7 1  D  –10 7  cari nilai p dan nilai q. –5 –6
5
A p = 2, q = –4
5. Given: B p = –2, q = 4
Diberi: C p = 4, q = –4
D p = –4, q = –4
m 5
4 1.5
 10 4  – 0.5  –2 7   –8 1  11. Given:
=
–9 3n
Find the value of m and of n. Diberi:
Cari nilai m dan nilai n. –1 2 x 5
   
A m = 12, n = 2.5 C m = 12, n = 1.5  3 –8 y = –19
B m = 10, n = 1.5 D m = 10, n = 2.5
Find the value of x and of y.
6. Given: Cari nilai x dan nilai y.
Diberi: A x = –1, y = 2
 –8 3   –4 3  B x = –1, y = –2
10 9 + 4G = –2 17 C x = 1, y = –2
D x = 1, y = 2
Find matrix G.
Cari matriks G. 12. Aini and Ros are clerks in a company. The table below shows
the stationery order list of them.
 –3 1.5   1 0 
A 2 6.5 C –3 2 Aini dan Ros ialah kerani di sebuah syarikat. Jadual di bawah
B  –6 3  D  –3 3  menunjukkan senarai tempahan alat tulis mereka. HOTS Applying
4 2
4 14
File
Stapler

3 –1 6
 
7.  –8 2 –5 = Aini Pen Fail Pengokot
20
5
25
    Ros 30 15 4
3
23
A –38 C –5
23
14
    It is given that a pen costs RM1.20, a file costs RM4.00 and
B 21 D –58 a stapler costs RM6.00. Which of the following is the correct
method to calculate the total payment, in RM, to be made
8. Given: by Aini and Ros?
Diberi: Diberi sebatang pen berharga RM1.20, sebuah fail berharga

6 5 s –3
 –1 t 1 2   –19 –8  RM4.00 dan sebuah pengokot berharga RM6.00. Antara
=
berikut, kaedah yang manakah betul untuk mengira jumlah
10 15
bayaran, dalam RM, yang perlu dibuat oleh Aini dan Ros.
Find the value of s – t.
1.20
Cari nilai s – t.  25 20 5   
30 15 4

140
A –10 C 5 A 4.00 = 120
B –5 D 10 6.00
6.00
140

30 15 4
4 3
   25 20 5   
9. Given that A = 2 1 and AB = BA = I, find matrix B. B 4.00 = 120
1.20
4 3
Diberi bahawa A =   dan AB = BA = I, cari matriks B. C  30 15 4   
6.00
2 1
25 20 5

140
4.00 =
–  1.20 120
–2
1
A 1 3
1.20
2 2 D  30 15 4   

25 20 5
140
4.00 =
–  6.00 120
2
1
B 1 3

2 2 13. It is given that the inverse matrix of  –2 –3  is 1 7 q  .
 – 1 3  SPM Calculate the value of p + q. 6 7 p –6 –2
C 2 2 2019 –2 –3 1 7 q

1 –2 Diberi matriks songsang bagi  6 7  ialah p –6 –2  . Cari
 1 – 3  nilai p + q.
D 2 2 A –7 C 1
–1 2 B –1 D 7
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