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.
Worked Out Examples
You can comment your questions or problems regarding the matrix
equations here.
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