Multiply the Matrices

Problem

[[3,−5],[21,−40],[12,10]]*[[23],[196],[−118]]

Solution

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

2. Determine compatibility by comparing the number of columns in the first matrix (2) to the number of rows in the second matrix (3).

3. Conclude that the multiplication is undefined because the number of columns in the first matrix does not match the number of rows in the second matrix.

Final Answer

The product is undefined because the dimensions *(3×2)* and *(3×1)* are incompatible.

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