Bab 15 Matriks

4.9 SPM Practis (Soalan Pendek)

Soalan 1:
( 1 4 6 2 )+3( 2 0 4 3 )( 3 0 2 5 )=

Penyelesaian:
( 1 4 6 2 )+3( 2 0 4 3 )( 3 0 2 5 ) =( 1 4 6 2 )+( 6 0 12 9 )( 3 0 2 5 ) =( 7 4 18 7 )( 3 0 2 5 ) =( 7(3) 40 18( 2 ) 7(5) ) =( 10 4 20 2 )


Soalan 2:
Cari nilai mdalam persamaan matriks berikut:
( 9 4 5 0 )+ 1 2 ( 8 m 6 10 )=( 13 7 2 1 )

Penyelesaian:
( 9 4 5 0 )+ 1 2 ( 8 m 6 10 )=( 13 7 2 1 ) 4+ 1 2 m=7 1 2 m=3 m=6


Soalan 3:
Diberi ( 2x 3y )4( 2 3 )=( 2 6 ) Cari nilai x dan y.

Penyelesaian:
2x + 8 = –2
2x = –10
x= –5

3y – 12 = 6
3y = 18
y= 6 


Soalan 4:
Diberi bahawa persamaan matriks 3(6   m) + n(3   4) = (12   7),
Cari nilai m+ n.

Penyelesaian:
3(6   m) + n(3   4) = (12   7)
18 + 3n = 12
3n = –6
n= –2

3m + 4n = 7
3m + 4(–2) = 7
3m = 15
m= 5

Maka m + n = 5 + (–2) = 3