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

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) (Show Source): You can put this solution on YOUR website!


I'll just do (c). 



          

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

Add 4A and 3B to both sides:

          

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

RELATED QUESTIONS
Hi all, I was hoping someone could show me how to solve the following for the give... (answered by ichudov,alicealc)

Solve for n: {{{matrix(1,3, 4*(matrix(2,1,n,2)), ""="",... (answered by ikleyn,Alan3354,Edwin McCravy)

please help me with this:: is this statement true or false : matrix B & C are equivalent (answered by robertb)

Solve the matrix equation AX=B for X using A= 2 -3 B=4 1 5 (answered by richwmiller)

Solve the matrix equation AX=B for X using A=2 -3 B=4 1 5 (answered by Fombitz)

Please help me solve this problem. What is the value of the game represented... (answered by haileytucki)

solve the matrix equation AX=B for the 2x2 matrix X: A 2 -7 -1 4 ] x= B -21... (answered by Fombitz)

Please help me solve this equation: Find the inverse of the following matrices. a, {{{ (answered by Fombitz)

Matrix A 5 1 0 -2 3 1 0 2 4 Matrix B -1 2 -3 0 5 4 2 -1... (answered by MathLover1)