Multiply the Matrices

Problem

[[5,−1,4,0],[8,5,2,1],[9,8,3,0]]*[[6,8,10],[1,2,7]]

Solution

1. Check dimensions for matrix multiplication. The first matrix is a 3×4 matrix (3 rows, 4 columns). The second matrix is a 2×3 matrix (2 rows, 3 columns).

2. Compare inner dimensions to see if the operation is defined. For matrix multiplication A×B to be possible, the number of columns in A must equal the number of rows in B

3. Identify the mismatch between the dimensions. The first matrix has 4 columns, while the second matrix has 2 rows.

4. Conclude that the matrices cannot be multiplied because 4≠2

Final Answer

[[5,−1,4,0],[8,5,2,1],[9,8,3,0]]*[[6,8,10],[1,2,7]]=Undefined (Dimension Mismatch)

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