Page 14 - Top Class F5 - Mathematics (Chapter 2)

Mathematics Form 5 Chapter 2 Matrices

13. Calculate the value of x and of y for each of the following. PL 3
Hitung nilai x dan nilai y bagi setiap yang berikut.
Example 3x – 2 4 x
– 2
(a)      
=
 3 x + 1   7 3x   4 5  5 + y y 8
5 y –1 – 2y –3 = 2 6 –1
x
 3x – 2 – 8   
=
8
5 + y – 2y
 5y – 2y –5 + 3   12 –2  3x – 2 – 8 = x , 5 + y – 2y = 8
8 10
15 – 7 5x + 5 – 3x
=
2x = 10 –y = 3
5x + 5 − 3x = 10 , 5y − 2y = 12 x = 5 y = –3
2x = 5 3y = 12
x = 2.5 y = 4
5x + 5 - 3x = 10 , 5y - 2y = 12
 –13 x   11 6   –3 x  5x 7 1 – x –1 23 11
(b) 2 2y + 3 9 + y –3 = 5 2 3 (c)    2 3   
= 4
+
0 14
–8 2
 –26 + 11 2x + 6   –15 5x  10 –5 x – y 1 2y –9
4y + 6 + y 18 – 3 = 10 15 5x 7 4 – 4x + 23 –4 + 11
0 14 =
2x + 6 = 5x , 4y + 6 + y = 10    8 – 8 12 + 2 
3x = 6 5y = 4 10 –5 4x – 4y + 2y 4 – 9
4
x = 2 y = 5x = 4 – 4x + 23 , 10 = 4x – 4y + 2y
5
9x = 27 10 = 4(3) – 2y
x = 3 2y = 2
y = 1

14. Find matrix N of each of the following. PL 3
Cari matriks N bagi setiap yang berikut.

Example 2 –3 1 1 –2
(a) 4   – N = 5  
 7 13  – 2N = 3  1 4  9 10 3 7 8 1 –2
3 –2
3 4
2 –3
– 5
 7 13   1 4  1 N = 4  9 10   7 8 
3
2N = 3 4 – 3 3 –2 3 –2
1 4 1 N = 3  1 0 
N =  
2 –6 10 =  9 –6 
  3 0
1
2
= 2
–3 5

2  
 3 8   9 10  8 –1 3 6 14 7
(b) 3N + 2 1 –7 = 0 –2 (c) 2     + N = –8 6
1
–
7 14
2 12
9 1
3N =  9 10   3 8  6 4 5 –3 14 7 8 –1 3 6
– 2
0 –2
1 –7
1
N =
– 2
+
2 12
–8 6
7 14
N = 1  3 –6  2      
3 –2 12 9 1 6 4 5 –3
1 –2 1 15
= 2 4 N = 2  –5 –4 
 –
3 2 –10
 2 30 
= –10 –8
4 –20
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