Multiply the Matrices

Problem

[[2,−2,0],[1,2,6],[−3,3,2],[−4,10,16]]*[[2],[7],[−1],[12]]

Solution

1. Check dimensions to ensure the operation is defined. The first matrix is 4×3 and the second matrix is 4×1 Matrix multiplication A×B requires the number of columns in A to equal the number of rows in B

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

3. Conclude that the matrices cannot be multiplied because the inner dimensions do not match (3≠4.

Final Answer

Undefined (Dimension Mismatch)

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