Multiply the Matrices

Problem

[[−3,1],[5,5],[0,5],[1,3]]*[[x],[25],[10],[9]]

Solution

1. Check dimensions to ensure the multiplication is possible. The first matrix is a 4×2 matrix and the second is a 4×1 matrix. Matrix multiplication A×B requires the number of columns in A to equal the number of rows in B

2. Identify the error in the provided task. Since the first matrix has 2 columns and the second matrix has 4 rows, the operation is undefined. Matrix multiplication is only possible when the inner dimensions match.

3. Determine the requirement for the multiplication. For a 4×2 matrix to be multiplied by another matrix, that second matrix must have exactly 2 rows.

Final Answer

The product is undefined because the number of columns in the first matrix (2) does not match the number of rows in the second matrix (4).

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