SOLUTION: Solve each matrix equation for X 1 0 0 0 1 0 0 0 1 X = 4 -5 3

Algebra ->  Algebra  -> Matrices-and-determiminant -> SOLUTION: Solve each matrix equation for X 1 0 0 0 1 0 0 0 1 X = 4 -5 3      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 82428: Solve each matrix equation for X
1 0 0
0 1 0
0 0 1 X
= 4
-5
3
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Since we have the identity matrix 


1 0 0 
0 1 0
0 0 1

multiplied by matrix X we have 



|1 0 0 |
|0 1 0 | X= X
|0 0 1 |


In other words, the identity matrix I times X is
I*X=X

So our answer is 

  |4 |
X=|-5|
  |3 |