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

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


   

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


Let X=%28matrix%282%2C2%2Ca%2Cb%2Cc%2Cd%29%29












Equate corresponding elements on both sides:

system%283a%2B2b-d=1%2C10a%2B5b-5c-d=1%2C-b%2B3c%2Bd=1%2C-5a-b%2B3c%2B4d=1%29 

Solve that system and get matrix%281%2C4%2Ca=9%2F80%2Cb=17%2F40%2Cc=33%2F80%2Cd=3%2F16%29

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