Find A and B

Asked by Rahulsinha1993 | 21st Aug, 2010, 11:26: PM

Expert Answer:

Solve the equations simultaneously.
We have,
        2A - B = X
and    A + 2B = Y
 
Eliminating matrix B, we get  5A = 2X + Y
                                           = 2[6 -6 0] + [3  2   5]
                                                -4  2 1]    -2 1 -7]
 
                                           = [ 15 -10  5]
                                               -10  5  -5]
Hence A = [ 3  2   1]
                -2  1  -1]
Using equation 1, B = 2A - X = 2[3  2  1 ] - [6  -6  0]
                                            -2  1 -1]    -4  2   1]
                                       
                                       = [ 0  10  2]
                                            0   0 -3]

Answered by  | 22nd Aug, 2010, 09:50: AM

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