Multiply the Matrices

Problem

[[1,2],[x+y,4],[7,2*y]]*[[z,2],[9,4],[7,8]]

Solution

1. Check dimensions to ensure the multiplication is defined. The first matrix is 3×2 and the second matrix is 3×2 Since the number of columns in the first matrix (2) does not match the number of rows in the second matrix (3), the operation is undefined.

2. Identify the requirement for matrix multiplication. For two matrices A and B to be multiplied as A*B the number of columns in A must equal the number of rows in B

3. Conclude that because the inner dimensions (2 and 3) are not equal, the product cannot be calculated.

Final Answer

[[1,2],[x+y,4],[7,2*y]]*[[z,2],[9,4],[7,8]]=Undefined

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