Multiply the Matrices 2[[4],[3]][[1,2,3],[4,5,6],[7,8,9]]

Problem

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

Solution

1. Check the dimensions of the matrices to ensure multiplication is defined. The first matrix is a 2×1 column vector and the second is a 3×3 square matrix.

2. Determine if the operation is possible. Matrix multiplication A×B requires the number of columns in A to equal the number of rows in B Here, 1≠3

3. Conclude that the product is undefined because the inner dimensions do not match.

Final Answer

2*[[4],[3]]*[[1,2,3],[4,5,6],[7,8,9]]=Undefined

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