MATHEMATICS FORM 5 2021
LET’S RECALL : MATRICES
1. Solve :
(7 5 −3) + (−3 2
a)
1) – (−4 8 −9)
1 20
−9 7
10
) −5(
)
2 −3
−5 15
b)
(
2. Find the product of the following matrices.
1
a) (3 −2 1) (−2)
4
5 (
) 3
−2
−4)
c) (
−2 4 4
)( )
−3 1 1
b) (
−1 −3
d) (−5 2 −1) ( 0
2)
4
5
3 1
5
) and C = ( ), calculate
4 −2
−1
3. Given B = (
a) B2
b)
BC
3
−𝑥
4. Given (𝑥
5) (
𝑦
)= (24
1
−7), find the value of x and of y.
1 0
3 1
)𝑄 = (
) . State the matrix Q.
0 1
2 −1
5. Q is a 2 × 2 matrix such that (
6. Find the inverse of matrix F if F = (
6
7. Given the matrix (
𝑝
3
2
−5
).
−4
2
) does not have an inverse, find the value of p.
1
1 0
5 2
)=(
), where P is a 2 × 2 matrix. Find the matrix P.
0 1
6 3
8. Given 𝑃 (
1
−6 1 2
)(
−3 2 3
9. Given that 𝑣 (
−1
1 0
)=(
), find the value of v and of w.
𝑤
0 1
10. Using the matrix method, calculate the value of x and of y that satisfy the following
simultaneous equations.
a) 2𝑥 + 4𝑦 = 6
b) 3𝑥 − 2𝑦 = 4
𝑥 + 3 = −3
−5𝑥 + 4𝑦 = −7
11. Siti wanted to buy 250 boxes of mineral water from a supermarket for wholesale.
The price of a box of mineral water of sized 250 ml and of sized 1 litre are RM9 and
RM12 respectively. Siti paid RM 2 460 for her purchase. By assuming x as the number
of boxes of mineral water of sized 250 ml and y as the number of mineral water of
sized 1 litre, find the value of x and y by using matrix method.