Multiply the Matrices [[5],[-2]]*[[-4,-3],[4,-3],[5,-2]]

Problem

[[5],[−2]]*[[−4,−3],[4,−3],[5,−2]]

Solution

1. Check for compatibility by comparing the dimensions of the matrices. The first matrix is a 2×1 matrix (2 rows, 1 column) and the second matrix is a 3×2 matrix (3 rows, 2 columns).

2. Identify the rule for matrix multiplication, which states that the number of columns in the first matrix must equal the number of rows in the second matrix.

3. Compare the values where the number of columns in the first matrix is 1 and the number of rows in the second matrix is 3

4. Conclude that since 1≠3 the matrices cannot be multiplied in the given order.

Final Answer

[[5],[−2]]*[[−4,−3],[4,−3],[5,−2]]=Undefined

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