Simplify the Matrix

Problem

[[20,5,19,8,20],[9,0,0,15,0],[13,9,19,18,0]]*[[1,−2,2],[−1,1,3],[1,−1,4]]

Solution

1. Check dimensions for matrix multiplication. The first matrix is a 3×5 matrix and the second matrix is a 3×3 matrix.

2. Identify that matrix multiplication A*B requires the number of columns in A to equal the number of rows in B

3. Determine the number of columns in the first matrix, which is 5

4. Determine the number of rows in the second matrix, which is 3

5. Conclude that since 5≠3 the operation is undefined.

Final Answer

[[20,5,19,8,20],[9,0,0,15,0],[13,9,19,18,0]]*[[1,−2,2],[−1,1,3],[1,−1,4]]=Undefined

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