Page 22 - Focus SPM KSSM 2021 Tingkatan 5 - Maths DLP

Mathematics Form 5 Chapter 2 Matrices

Sausage Nugget 12. The table below shows the information of purchase
of exercise books by Madam Muna.
Lily 5 7
Jamilah 8 4 Type of Purchase Price per
exercise books quantity book (RM)
Table 1
Thick x 2.50
Shop A Shop B
Thin y 0.70
Sausage 12 15
Nugget 16 14 It is given that the purchase quantity of thick exercise
books is 4 more than the purchase quantity of thin
Table 2 Chapter 2
exercise books. The total payment of the exercise
(a) Calculate Lily’s and Jamilah’s total expenses to books purchased is RM26.
buy sausages and nuggets in each shop. (a) Write two linear equations in terms of x and y to
Chapter 2
(b) Decide purchase in which shop is more represent the information above.
profitable for Jamilah. Explain your answer. (b) Hence, by using matrix method, calculate the
HOTS
Evaluating value of x and of y. HOTS
Applying
7. It is given that F = 3 10 3 4 , G = 3 –8 5 1 4 and 13. Mr Jefri and Mr Siva each took their family to watch
–2 4
6
SPM
I = 3 1 0 4 . Find the value of each of the following. 2017 a movie. Mr Jefri spent RM72 for 4 tickets and
0 1
3 sets of food. Mr Siva spent RM52 for 3 tickets and
(a) IF + G 2 sets of food. Using the matrix method, calculate
(b) (G – F)I the prices, in RM, of a ticket, x, and a set of food, y.
8. Find the inverse matrix for each of the following 2 3 –5 –3
matrices. 14. It is given that S = 3 –4 –5 4 , T = p 3 q 2 4 and
SPM 1 0
(a) 3 2 3 4 2018 I = 3 0 1 4 .
4
6
(b) 3 13 7 4 (a) Find the value of p and of q if ST = I. linear
following
(b) Write
the
simultaneous
–4 –2
equations in the form of matrix:
x + 3y = 7
2
9. S 3 2 9 4 3 1 0 4 and S is a 2 × 2 matrix. Find –4x – 5y = –11
=
0 1
1 3
matrix S. Hence, by using matrix method, calculate the
value of x and of y.
1 –2 p 3 –5 1 0
10. (a) Given that 3 43 4 3 4 ,
=
14 –4 3 4 q 0 1
find the value of p and of q. 15. Mr Koh, Mr Omar and Madam Selvi invested in
SPM share market respectively. Mr Koh used RM5 600
(b) The inverse matrix of 3 2 –4 4 is p 3 5 4 4 . Find 2019 to invest 4 000 units of Share A and 1 000 units of
1
5
q 2
the value of p and of q. Share B. Mr Omar invested 3 000 units of Share A
while Madam Selvi invested 2 000 units of Share
1 1 n B. The difference between the investment costs of
11. (a) Given that 3 4 is the inverse matrix of
m –2 4 3 000 units of Share A and 2 000 units of Share
3 4 3 4 . Find the value of m and of n. B is RM2 000. It is given that the price per unit of
2 1
Share A is higher than the price per unit of Share B.
(b) Solve the following simultaneous linear Calculate the price per unit of Share A and the price
equations using matrix method. per unit of Share B.
4 x + 3y = 16
2 x + y = 7

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