Question 14409: Do I need to multiply the matrices only or do I need to do the inverse in order to get [29, 39, 116]as an answer for:
1,1,1 184
-1,1,0 10 ?
-4,0,1 0
Matrix A Matrix B
Answer by khwang(438) (Show Source):
You can put this solution on YOUR website! Let
A=
[1,1,1]
[-1,1,0]
[-4,0,1]
B = [184]
[10]
[ 0]
to solve the matrix equation AX = B (3x3 times 3x1 = 3x1 matrix )
You have to find the inverse of A as (how ???)
[1/6 -1/6 -1/6]
[1/6 5/6 -1/6]
[2/3 -2/3 1/3]
the multiply by B, then will get the comlumn vector (3x1 matrix)
X =
[29]
[39]
[116]
Of course, you should work hard.
Kenny
|
|
|