Q20 of 307 Page 5

If X and Y are 2 × 2 matrices, then solve the following matrix equations for X and Y.

2X+3Y=-----(i)

= 3X+2Y-----(ii)


Multiply equation(i) by 3 and equation(ii) by 2, we get,


= 6X+9Y=


= 6X+4Y=


Subtract these equation then we get,


= 5Y=


= 5y=


= 5Y=


= Y=


= Y=


Now, put the value of Y in equation (i)


= 2X+3


= 2X=-


= 2X=


= 2X=


= X=


= X=


Hence, Y= and X=


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