Solving Matrix Equations

Solving Matrix Equations

While solving matrix equation A + X = B, where A and B are two given matrices of the same order and X is an unknown matrix, we proceed in a manner similar to the numbers.

Here, A + X = B

Adding the matrix (-A) to both sides of the matrix equation, we get -

        (-A) + A + X = (-A) + B

or,    (-A + A) + X = B – A

or,    0 + X = B – A

or,    X = B – A, 

which is the required solution of matrix equation A + X = B.

 

Worked Out Examples

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