Question

Matriks x yang memenuhi x [ 4 2 5 2 ] = [ 1 2 3 4] (berordo dua) adalah..?

Answer 1

Misal matrix
x ( a b ) ( 4 2 ) = ( 1 2 )
( c d ) ( 5 2 ) ( 3 4 )

4a + 5b = 1. 2a + 2b = 2 ( dikali 2 )
4c + 5d = 3. 2c + 2 d = 4 ( dikali 2)
______________________ eliminasi
4a + 5b = 1
4a + 4b = 4
_________ -. ==> nilai a = 4a + 4(-3) = 4
b = - 3. = 4a = 16
a = 4
_______________________
4c + 5d = 3
4c +4d = 8
_________ _. ====> nilai c = 4c + 4(-5) = 8
d = -5. 4c = 28
c = 7
_________________
jadi matriks X adalah ( 4 -3 )
( 7 -5 )