Page 25 - Top Class F5 - Mathematics (Chapter 2)
P. 25
Mathematics Form 5 Chapter 2 Matrices
Paper 2 Answer / Jawapan: 5 –7
(a) Inverse matrix of
1 4 7 2 –7 3 –5
1. (a) Given is the inverse matrix of , find the 5 –7
m n 2 1 4 Matriks songsang bagi
value of m and of n. 3 –5
1 4 7 2 –7 1 –5 7
Diberi ialah matriks songsang bagi , cari =
m n 2 1 4 5(–5) – (–7)(3) –3 5
nilai m dan nilai n. 1 –5 7
(b) Write the following simultaneous linear equations in = – 4 –3 5
the form of matrix: 5 7
Tuliskan persamaan linear serentak berikut dalam bentuk 4 – 5
4
matriks: = 3
2x – 7y = 10 4 – 4
x + 4y = 20
Hence, by using matrix method, calculate the value of
x and of y. 5 –7 x 9
Seterusnya, menggunakan kaedah matriks, hitung nilai x (b) 3 –5 y = 5
dan nilai y. x 1 –5 7 9
Answer / Jawapan: = 5(–5) – (–7)(3) –3 5 5
y
2 –7
(a) Inverse matrix of 1 4 = – 1 –10
4 –2
Matriks songsang bagi 2 –7 =
2.5
1 4
1 4 7 0.5
=
2(4) – (–7)(1) –1 2 Hence / Maka, x = 2.5, y = 0.5
1 4 7
=
15 –1 2
1 4 7
= 3 n 4 5 1 0
m n 2 3. (a) Given m –2 4 2 3 = 0 1 , find the value of m and
Hence / Maka, m = 15, n = –1 of n.
3 n 4 5
Diberi m –2 4 2 3 = 1 0 , cari nilai m dan nilai n.
0 1
2 –7 x 10
(b) 1 4 y = 20 (b) Write the following simultaneous linear equations in
the form of matrix:
4 7 10
x
= 2(4) – (–7)(1) –1 2 20 Tuliskan persamaan linear serentak berikut dalam bentuk
1
y
matriks:
1 180 4x + 5y = 8
=
15 30 2x + 3y = 5
12
= Hence, by using matrix method, calculate the value of
x and of y.
2
Seterusnya, menggunakan kaedah matriks, hitung nilai x
Hence / Maka, x = 12, y = 2
dan nilai y.
Answer / Jawapan:
4 5
2. (a) Find the inverse matrix of 5 –7 . (a) Inverse matrix of
3 –5
2 3
4 5
Cari matriks songsang bagi 5 –7 . Matriks songsang bagi
2 3
3 –5
(b) Write the following simultaneous linear equations in = 1 3 –5
the form of matrix: 4(3) – 5(2) –2 4
Tuliskan persamaan linear serentak berikut dalam bentuk 1 3 –5
matriks: = 2 –2 4
5x – 7y = 9 3 n
3x – 5y = 5 = m –2 4
1
Hence, by using matrix method, calculate the value of Hence / Maka, m = , n = –5
x and of y. 2
Seterusnya, menggunakan kaedah matriks, hitung nilai x
dan nilai y.
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