Multiply the Matrices

Problem

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

Solution

1. Check dimensions for compatibility. The first matrix is 3×3 and the second matrix is 2×3 Matrix multiplication A×B requires the number of columns in A to equal the number of rows in B

2. Compare dimensions specifically. The first matrix has 3 columns, but the second matrix has only 2 rows.

3. Conclude that the operation is undefined. Since 3≠2 these matrices cannot be multiplied in the order given.

Final Answer

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

Want more problems? Check here!