Multiply the Matrices [[2],[-2]]*[[2,3],[0,3],[-1,-8]]

Problem

[[2],[−2]]⋅[[2,3],[0,3],[−1,−8]]

Solution

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

2. Verify compatibility by comparing the number of columns in the first matrix to the number of rows in the second matrix. The first matrix has 1 column and the second matrix has 3 rows.

3. Determine possibility of the operation. Since the number of columns in the first matrix (1 does not equal the number of rows in the second matrix (3, the multiplication is not defined.

Final Answer

[[2],[−2]]⋅[[2,3],[0,3],[−1,−8]]=Undefined

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