SOLUTION: Can someone help with this problem please: Solve the matrix equation for X. A = 2 0 0 -1 2 0 -2 4 1 B = 4 10 11 AX = B CHOOSE FROM: a. 0 8 -9

Algebra ->  Matrices-and-determiminant -> SOLUTION: Can someone help with this problem please: Solve the matrix equation for X. A = 2 0 0 -1 2 0 -2 4 1 B = 4 10 11 AX = B CHOOSE FROM: a. 0 8 -9       Log On


   

Question 166212: Can someone help with this problem please:
Solve the matrix equation for X.
A =
2 0 0
-1 2 0
-2 4 1

B =
4
10
11
AX = B
CHOOSE FROM:
a.
0
8
-9

b.
2
6
-9

c.
3
7
-8

d.
3
6
-10
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
AX=B
X=A%5E%28-1%29B
Find the inverse of A.
A=%28matrix%283%2C3%2C%0D%0A2+%2C0+%2C0%0D%0A%2C-1%2C+2%2C+0%2C%0D%0A-2%2C+4%2C+1++%29%29


Multiply rows of the inverse matrix by the column matrix to get the product.
X%5B1%5D=+%281%2F4%29%2A%282%284%29%2B0%2810%29%2B0%2811%29%29=2
X%5B2%5D=+%281%2F4%29%2A%281%284%29%2B2%2810%29%2B0%2811%29%29=6
X%5B3%5D=+%281%2F4%29%2A%280%284%29%2B%28-8%29%2810%29%2B4%2811%29%29=-9
.
.
.

.
.
.
b.)
X=%28matrix%283%2C1%2C+%0D%0A2%2C6%2C-9+%29%29