SOLUTION: Solve the following equation for (2x2) matrix X: {{{(matrix(2,2,1,1,1,2))X+(matrix(2,2,2,-1,-1,1))X(matrix(2,2,1,5,1,2))=(matrix(2,2,1,1,1,1))}}} The question is given exactl

Question 1131091: Solve the following equation for (2x2) matrix X:

The question is given exactly like this.
Is there an error in the question given? Or do I just not see what's going on.
I am mainly confused about what to do with the two matrices in the middle.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!



Let 












Equate corresponding elements on both sides:

 

Solve that system and get 

Therefore,



Note: this is so tedious, I could have made an error or errors. 
So although this is the correct procedure, you'd better check it. 
I didn't.

Edwin

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

Solve each matrix for equation for X 1 2 1 -2 X = 2 -2 (answered by stanbon)

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

without using cocept of inverse of a matrix , solve the following matrix equation: 5 4... (answered by Fombitz)

find the inverse of matrix. 1. {{{(matrix(2,2,2, -1, 10, 7))}}} 2.... (answered by Edwin McCravy)

{{{matrix(1,3, "g(x)", ""="", system(matrix(4,3, x, if, x<1, 5, if,... (answered by AnlytcPhil)

What is the solution of the matrix equation [2 1 -3 -2]X = [-5... (answered by richwmiller)

find the inverse of the matrix [-3 2 5 -3 ] hence find the matrix satisfying the matrix... (answered by Edwin McCravy)

Each matrix in an equation of the form AX=B has a name Coefficient matrix A... (answered by venugopalramana)

Solve the Argumented matrix 1 2 | 3 -3 1 |... (answered by Alan3354)