Multiply the Matrices

Problem

[[0,−1],[−3,7],[2,−9]]*[[0,8,0],[1,0,0],[0,0,1]]

Solution

1. Check dimensions to ensure the multiplication is possible. The first matrix is 3×2 and the second matrix is 3×3

2. Identify the error in the dimensions. Matrix multiplication A×B requires the number of columns in A to equal the number of rows in B

3. Compare the values where the first matrix has 2 columns and the second matrix has 3 rows.

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

Final Answer

[[0,−1],[−3,7],[2,−9]]*[[0,8,0],[1,0,0],[0,0,1]]=Undefined

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