SOLUTION: Please assistance in solving equation for x. {{{A=(matrix(3,3,2,2,0,-4,-3,2,0,-3,-5))}}}, {{{B=(matrix(3,1,-10,2,-9))}}}, {{{X=(matrix(3,1,x,y,z))}}}, {{{AX=B}}}

Algebra ->  Matrices-and-determiminant -> SOLUTION: Please assistance in solving equation for x. {{{A=(matrix(3,3,2,2,0,-4,-3,2,0,-3,-5))}}}, {{{B=(matrix(3,1,-10,2,-9))}}}, {{{X=(matrix(3,1,x,y,z))}}}, {{{AX=B}}}       Log On


   

Question 151249: Please assistance in solving equation for x.
A=%28matrix%283%2C3%2C2%2C2%2C0%2C-4%2C-3%2C2%2C0%2C-3%2C-5%29%29, B=%28matrix%283%2C1%2C-10%2C2%2C-9%29%29, X=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29, AX=B
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
Please assistance in solving equation for x.
A=%28matrix%283%2C3%2C2%2C2%2C0%2C-4%2C-3%2C2%2C0%2C-3%2C-5%29%29, B=%28matrix%283%2C1%2C-10%2C2%2C-9%29%29, X=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29, AX=B 

We make the equation AX=B

 

Do you know how to find the inverse of a matrix?
If not post again asking how.  The inverse of 
matrix A is:

A%5E%28-1%29=%28matrix%283%2C3%2C21%2F2%2C5%2C2%2C-10%2C-5%2C-2%2C6%2C3%2C1%29%29

So we left-multiply both sides of the equation by this
inverse matrix, A%5E%28-1%29



Do you know how to multiply matrices?  If not
post again asking how.

Multiply the matrices and get this:



%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29=%28matrix%283%2C1%2C-113%2C108%2C-63%29%29

So x=-113, y=108, z=-63

Edwin