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

Problem

[[3],[−2]]*[[1,3],[−1,1]]

Solution

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

2. Determine 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 2 rows.

3. Conclude that the multiplication is undefined. For matrix multiplication A*B to be possible, the number of columns in A must equal the number of rows in B

Final Answer

[[3],[−2]]*[[1,3],[−1,1]]=Undefined

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