Page 12 - Top Class F5 - Mathematics (Chapter 2)

Mathematics Form 5 Chapter 2 Matrices

      (c)  3x –6 4   1 0 5   2x 6 1 
–x
3
4x + 9
–
=
(b) –5 – –1 = –4 11 1 – y 2 3 y 9 –8 3 7
7 + 3y 8 y
–6
3x
4
 11 1 – y 2   1 – 2x 0 – 6 5 – 1 
=
   
4x + 9
3 + x
3 + 8 y – 3 9 – 7
–5 + 1 = –4 3x = 1 – 2x , 1 – y = y – 3
7 + 3y – 8 y 5x = 1 4 = 2y
3 + x = 4x + 9 , 7 + 3y – 8 = y x = 1 y = 2
3x = –6 2y = 1 5
1
x = –2 y =
2
9. Find matrix M of each of the following. PL 3
Cari matriks M bagi setiap yang berikut.
Example 19 4 –8 5 9 –6 4
=
(a) M –     (b)   – M +    
=
 1 –3  + M =  9 10  –7 3 12 1 –1 5 7
5 –2
4 6
9
–6
4
+
M =  –8 5   19 4  M =      
+
–
 9 10   1 –3  12 1 –7 3 –1 5 7
M = 5 –2 – 4 6  11 9  –1
 8 13  = 5 4 =  
–3
= 1 –8
10. Find the value of each of the following. PL 3
Cari nilai bagi setiap yang berikut.
Example (a) Given / Diberi L =  1 –7  (b) Given / Diberi L =  –2 20 

Given / Diberi L =  4 9  8 5 35 –5
(i) 3L 6 10 (i) 2L (i) –L
1 (ii) 0.8L (ii) 1 L
(ii) L
2 1 –7 5
(i) 2  8 5  (i) –  –2 20 
(i) 3  4 9  =  2(1) 2(–7)  35 –5 –20
6 10
2
 3(4) 3(9)  2(8) 2(5) =  –35 5 
= 3(6) 3(10)  2 –14 

=  12 27  = 16 10 (ii) 1 –2 20 
5 35 –5
18 30
1 4 9 (ii) 0.8  1 –7  1 (–2) 1 (20)
(ii)   8 5
2 6 10 0.8(1) 0.8(–7) = 5 5 (–5)
1
1 (4) 1 (9) =  0.8(8) 0.8(5)   (35) 1
2 2 (10) 5 5
=  0.8 –5.6  2
1
 (6) 1 = 6.4 4  – 4 
2 2 = 5
  7 –1
9
2
= 2
3 5

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