Multiply the Matrices

Problem

[[0,−24],[25,−49],[50,−74],[75,−99],[100,−124],[1245,−149]]*[[4],[3],[6],[3],[5],[9]]

Solution

1. Check dimensions for matrix multiplication. The first matrix is a 6×2 matrix and the second matrix is a 6×1 vector. Matrix multiplication A×B requires the number of columns in A to equal the number of rows in B

2. Identify the mismatch in dimensions. The first matrix has 2 columns, while the second matrix has 6 rows.

3. Conclude that the operation is undefined. Since 2≠6 these matrices cannot be multiplied in the given order.

Final Answer

The product is undefined because the dimensions *(6×2)* and *(6×1)* are incompatible.

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