SOLUTION: A (3 1 ) B= (6 1 C= (-4 3 D= (4 7 5 2 11 3 -5 2 -2 7 FIND THE MATRIX OF X,Y,Z such that AX=B, BY=C, CZ= D

Algebra ->  Matrices-and-determiminant -> SOLUTION: A (3 1 ) B= (6 1 C= (-4 3 D= (4 7 5 2 11 3 -5 2 -2 7 FIND THE MATRIX OF X,Y,Z such that AX=B, BY=C, CZ= D       Log On


   

Question 911812: A (3 1 ) B= (6 1 C= (-4 3 D= (4 7
5 2 11 3 -5 2 -2 7
FIND THE MATRIX OF X,Y,Z such that AX=B, BY=C, CZ= D
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=%28matrix%282%2C2%2C3%2C1%2C5%2C2%29%29
B=%28matrix%282%2C2%2C6%2C1%2C11%2C3%29%29
C=%28matrix%282%2C2%2C-4%2C3%2C-5%2C2%29%29
D=%28matrix%282%2C2%2C4%2C7%2C-2%2C7%29%29
First find the inverse of the first three.
A%5E%28-1%29=%28matrix%282%2C2%2C2%2C-1%2C-5%2C3%29%29
B%5E%28-1%29=%281%2F7%29%2A%28matrix%282%2C2%2C3%2C-1%2C-11%2C6%29%29
C%5E%28-1%29=%281%2F7%29%2A%28matrix%282%2C2%2C2%2C-3%2C5%2C-4%29%29
Then,
X=A%5E%28-1%29B
Y=B%5E%28-1%29C
Z=C%5E%28-1%29D
.
.
.
X=%28matrix%282%2C2%2C1%2C-1%2C3%2C4%29%29
.
Y=%28matrix%282%2C2%2C-1%2C1%2C2%2C-3%29%29
.
Z=%28matrix%282%2C2%2C2%2C-1%2C4%2C1%29%29