Page 3 - Praktis Hebat 2021 - Mathematics F5

PRACTICE Matrices
2 Matriks

FORMULAE
• Identity matrix / Matriks identiti = I
• A = 1 1 d –b 2 , ad – bc ≠ 0 AI = IA = A
–1
ad – bc –c a AA = A A = I
–1
–1
PAPER 1

2.1 Matrices textbook 2 3 –1
Matriks pp. 36 – 41 0 –7 5 2
3. Given that matrix D = ,
1. Different brands of a certain product are priced 1 2 1 –2
3
differently. Hand sanitizer of brand Daetool identify the element d 21 in matrix D. PL 3
costs RM5.50 while hand sanitizer of brand 2 3 –1
Piurin costs RM4.00. For anti-bacterial wet
tissues, brand Daetool is priced at RM21.90 Diberi bahawa matriks D = 0 –7 5 2 ,
while brand Piurin is priced at RM6.90. Which 1 2 1 –2
of the following matrices accurately represent 3
the given data? PL 1 kenal pasti unsur d 21 dalam matriks D.
Suatu produk dari jenama yang berbeza A 5 C 0
mempunyai harga yang berbeza. Cecair B 2 D –3
pembasmi kuman berjenama Daetool berharga 3
RM5.50 manakala cecair pembasmi kuman 1 g – 3 3 9 2 1 6 3 9 2

berjenama Piurin berharga RM4.00. Untuk 4. If –5 1 10 = –5 1 2g + h , determine
tisu basah anti-bakteria jenama Daetool dijual the values of g and h. PL 3
dengan harga RM21.90 manakala jenama g – 3 3 9 6 3 9
=
Piurin dijual dengan harga RM6.90. Antara Jika 1 –5 1 10 2 1 –5 1 2g + h 2 ,
yang berikut, matriks yang manakah mewakili tentukan nilai g dan h.
data yang diberi dengan tepat? A g = 9, h = 8 C g = −9, h = 8
5.50
5.50
A 1 21.90 6.90 2 C 1 21.90 4.00 2 B g = 9, h = −8 D g = −9, h = −8
4.00
6.90
B 1 4.00 21.90 2 D 1 21.90 4.00 2 5. Sanjeetha and Maureen have the same amount
of pencils, black-inked pens and red-inked pens
5.50
6.90
5.50
6.90
in their respective pencil cases. The number of
3 1 –1 pencils, black-inked pens and red-inked pens in
2. The order of matrix 1 –42 is PL 2 each pencil case is represented in the following
1 2 matrices.
2
3 1 –1 Sanjeetha dan Maureen mempunyai bilangan
pensel, pen hitam dan pen merah yang sama di
Peringkat bagi matriks 1 –42 ialah
1 2 dalam kotak pensel masing-masing. Bilangan
2 pensel, pen hitan dam pen merah di dalam setiap
A 1 × 3 C 3 × 1 kotak pensel diwakili oleh matriks berikut.
B 2 × 3 D 3 × 2
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02 P Hebat MATH F5.indd 9 28/04/2021 5:29 PM