Multiply the Matrices [[13,0,-30]]*[[0,15,-10]]

Problem

[[13,0,−30]]*[[0,15,−10]]

Solution

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

2. Determine if multiplication is possible. Matrix multiplication A×B requires the number of columns in A to equal the number of rows in B

3. Conclude that the operation is undefined. Since the first matrix has 3 columns and the second matrix has only 1 row, the dimensions do not align for standard matrix multiplication.

4. Note that if the second matrix was intended to be a column vector (3×1, the dot product would be calculated as (13×0)+(0×15)+(−30×−10) However, as written, they are both row vectors.

Final Answer

[[13,0,−30]]*[[0,15,−10]]=Undefined

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