SOLUTION: Solve the matrix equation X- [2 -8] = [4 -6] [-4 2] [2 -8]

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Question 1116339: Solve the matrix equation
X- [2 -8] = [4 -6]
[-4 2] [2 -8]
Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let me first help you to formulate your problem. 

    You want to find the elements p, q, r and s of the matrix  X = %28matrix%282%2C2%2C+p%2Cq%2C+r%2Cs%29%29  from the equation


    %28matrix%282%2C2%2C+p%2Cq%2C+r%2Cs%29%29  - %28matrix%282%2C2%2C+2%2C+-8%2C+-4%2C+2%29%29 = %28matrix%282%2C2%2C+4%2C+-6%2C+2%2C+-8%29%29.


    You have four element-to-element equations


        Cell (1,1)   For "p":   p -   2  = 4   ====>  p = 4 + 2 = 6;

        Cell (1,2)   for "q":   q - (-8) = -6  ====>  q + 8 = -6  ====>  q = -6 - 8 = -14.



    Following the same pattern, complete the solution on your own.


    You should work with co-named cells of the matrix.

Explained, solved and answered.