SOLUTION: 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

Algebra ->  Matrices-and-determiminant -> SOLUTION: 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       Log On


   



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) About Me  (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 A%5E%28-1%29 (how ???)
[1/6 -1/6 -1/6]
[1/6 5/6 -1/6]
[2/3 -2/3 1/3]
the multiply A%5E%28-1%29 by B, then will get the comlumn vector (3x1 matrix)
X =
[29]
[39]
[116]

Of course, you should work hard.
Kenny