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Problem

[[1,−2,0,−10],[0,−1,1,−2],[0,0,2,4]]*[[0],[1],[6]]

Solution

  1. Identify the dimensions of the matrices. The first matrix is a 3×4 matrix and the second is a 3×1 matrix.

  2. Check for compatibility. Matrix multiplication requires the number of columns in the first matrix to match the number of rows in the second matrix.

  3. Determine the column count of the first matrix, which is 4

  4. Determine the row count of the second matrix, which is 3

  5. Conclude that the operation is undefined because the number of columns in the first matrix (4 does not equal the number of rows in the second matrix (3.

Final Answer

The product is undefined.


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