Multiply the Matrices

Problem

[[9,−8],[−2,−6],[−2,−2]]*[[0,1,5],[0,0,1],[7,0,0]]

Solution

1. Identify the dimensions of the matrices. The first matrix is 3×2 and the second matrix is 3×3

2. Check for compatibility. For matrix multiplication A*B the number of columns in A must equal the number of rows in B

3. Determine that the multiplication is undefined. The first matrix has 2 columns, while the second matrix has 3 rows.

4. Conclude that since 2≠3 these matrices cannot be multiplied in the given order.

Final Answer

[[9,−8],[−2,−6],[−2,−2]]*[[0,1,5],[0,0,1],[7,0,0]]=Undefined

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