Page 19 - Focus SPM KSSM 2021 Tingkatan 5 - Maths DLP

Mathematics Form 5 Chapter 2 Matrices

19. Find the inverse matrix for each of the following. 24. Solve the following equations.
19
x
(a) P = 3 4 7 4 (a) 3 5 2 43 4 3 4
=
4
2
3
y
5
16
–2
x
=
(b) Q = 3 8 –6 4 (b) 3 1 3 43 4 3 4
–7
y
3
8
–5 4
–3
p
=
(c) R = 3 1 3 4 (c) 3 3 9 43 4 3 4
3
–2 –7
q
–2 4
–18
p
=
20. Find the value of x if L does not have an inverse (d) 3 4 –3 43 4 3 4
1
2
q
1
matrix. 25. Solve the following simultaneous linear equations Chapter 2
(a) L = 3 3 –6 4 using matrix method.
x
2
(a) 4x + 3y = –5
x + 2y = 10
Chapter 2
(b) L = 3 12 8 4 (b) 4y = 1 + 3x
2x + 1
2
8 y – 5 = 5x
21. It is given that EF = 3 1 0 1 4 . Find matrix (c) y = 3x – 1
x = 3y – 5
5

0
(d) 6y + 4 = x
(a) E if F = 3 3 9 4 . 2 y + 3x = –8
2
7
26. Ahmad has two part-time jobs in college. His salary
(b) F if E = 3 –2 6 4 . as a tutor is RM20 per hour while his salary as a
–4 11
helper in a bookshop is RM12 per hour. It is given
that he allocates 18 hours each week for the part-
22. Given that H = 3 5 3 4 and the inverse matrix of time jobs and receives salary of RM280. If the time
worked as a tutor is x hours and the time worked as
10 7
1 7 –3 a helper in the bookshop is y hours, find the value of
H is 3 4 , find the value of m and of n. x and of y using matrix method.
m n 5
27. It is given that the perimeter of an equilateral triangle
23. Write the following simultaneous linear equations in is equal to the perimeter of a regular pentagon.
the form of matrix. The length of side of the equilateral triangle is
(a) 6x + 5y = 1 2 cm longer than the length of side of the regular
2 x + y = 3 pentagon. Assuming the length of side of the
(b) 4x = 3y + 5 equilateral triangle is x cm and the length of side of
x – 6y = 4 the regular pentagon is y cm,
(c) 5x = 2y – 1 (a) form two linear equations from the above
y = 3x – 5 information.
(d) 6y = 4 + x (b) calculate the value of x and of y using matrix
method.
7 y + 3x = –8 HOTS
Applying
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