Multiply the Matrices

Problem

[[−2,−8],[0,4],[1,6]]*[[−4,0],[7,5],[1/4,2]]

Solution

1. Check dimensions for matrix multiplication. The first matrix is 3×2 and the second matrix is 3×2

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

3. Compare the dimensions: the first matrix has 2 columns, while the second matrix has 3 rows.

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

Final Answer

[[−2,−8],[0,4],[1,6]]*[[−4,0],[7,5],[1/4,2]]=Undefined

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