If , find the values of and .
First simplify the left-hand side of the equation. Multiplying each matrix by its scalar
and then adding the two matrices together
Now simplify the right-hand side. First find the transpose of the first matrix by swapping the rows and columns around:
Now add the two matrices on the right-hand side together to give
Putting the two sides of the equation back together gives
Now equate individual elements to give equations which can be solved for and .
Equating elements gives
Therefore, the solution is , .