Multiply the Matrices [[3],[-1],[4]][[2],[2],[0]]

Problem

[[3],[−1],[4]]*[[2],[2],[0]]

Solution

1. Identify the dimensions of the matrices. The first matrix is a 3×1 column vector and the second matrix is a 3×1 column vector.

2. Determine if the multiplication is defined. For matrix multiplication A*B the number of columns in A must equal the number of rows in B

3. Check the dimensions: the first matrix has 1 column and the second matrix has 3 rows.

4. Conclude that since 1≠3 the matrix product is undefined.

Final Answer

[[3],[−1],[4]]*[[2],[2],[0]]=Undefined

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