Multiply the Matrices

Problem

[[1,2,0,4],[3,−1,0,0],[0,0,1,7]]*[[5,2,6],[2,3,1],[6,1,−2]]

Solution

1. Check dimensions for matrix multiplication. The first matrix is 3×4 and the second matrix is 3×3

2. Identify compatibility. Matrix multiplication A*B is only defined if the number of columns in A equals the number of rows in B

3. Compare values. The first matrix has 4 columns, while the second matrix has 3 rows.

4. Conclude. Since 4≠3 the matrices cannot be multiplied in the given order.

Final Answer

[[1,2,0,4],[3,−1,0,0],[0,0,1,7]]*[[5,2,6],[2,3,1],[6,1,−2]]=Undefined

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