Multiply each row in the first matrix by each column in the second matrix .

Simplify each element of the matrix by multiplying out all the expressions.

Add the corresponding elements of to each element of .

Set up a matrix that is broken into two pieces of equal size. On the left side, fill in the elements of the original matrix. On the right side, fill in elements of the identity matrix. In order to find the inverse matrix, use row operations to convert the left side into the identity matrix. After this is complete, the inverse of the original matrix will be on the right side of the double matrix.

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Find the Inverse of the Resulting Matrix [[3,4],[-4,3]]*[[x],[y]]=[[17],[44]]