SOLUTION: Good afternoon. Kindly help me solve this problem: Solve for x when {{{matrix(1,10,A,""="",(matrix(3,2,-4,0,1,-5,-3,2)),"","","","",B,""="",(matrix(3,2,1,2,-2,1,4,4)))}}} in

Algebra ->  Matrices-and-determiminant -> SOLUTION: Good afternoon. Kindly help me solve this problem: Solve for x when {{{matrix(1,10,A,""="",(matrix(3,2,-4,0,1,-5,-3,2)),"","","","",B,""="",(matrix(3,2,1,2,-2,1,4,4)))}}} in       Log On


   

Question 1049495: Good afternoon. Kindly help me solve this problem:
Solve for x when


in the following equations:
a. 3x + 2A = B
b. x - 3A + 2B = 0
c. 6x - 4A - 3B = 0
...your help is so much appreciated..thank you..
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

I'll just do (c). 



          +6x+-+4A+-+3B%22%22=%22%220

Get the x-term on the left just like you would 
in any ordinary equation:

Add 4A and 3B to both sides:

          6x%22%22=%22%224A%2B3B

Don't divide by 6 yet.  We'll do that at the end.

Substitute the matrices for A and B in that equation:



Distribute the 4 and the 3 into all 6 elements
(numbers) in each matrix:



Simplify:



Add corresponding elements in the two matrices:



Simplify:



Divide both sides (every element in the matrix) by 6:



Simplify



It's not all that different from solving ordinary equations.

Edwin