Hello everyone. It's GenericUsernameHere again. It's been a long time. I need some help with a review problem that I can't figure out. I'm not logged in because I can't remember my password. Please help.
[4 -3 6] [18]
[-1 5 4] * X = [48]
[6 -2 5] [0]
Define A as
[ 4 - 3 6 ]
[ -1 5 4 ]
[6 -2 5 ]
Define b as
[18]
[48]
[0]
And
Ax = b
Multiply on the left by the inverse of A = A-1
(A-1 * A) x = (A-1 ) b
x = ( A-1 ) b
The inverse of A is
-11/41 -1/41 14/41
-29/123 16/123 22/123
28/123 10/123 -17/123
So (A-1) * b = x
-11/41 -1/41 14/41 18 -6
-29/123 16/123 22/123 * 48 = 2
28/123 10/123 -17/123 0 8
So x = -6
2
8