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Simplify the Matrix

Problem

[[1,2,3,4],[2,3,2,1],[3,3,4,5],[6,7,4,5]]*[[1],[2]]

Solution

  1. Check dimensions for matrix multiplication. The first matrix is a 4×4 matrix and the second matrix is a 2×1 matrix.

  2. Determine compatibility of the operation. For matrix multiplication A*B to be defined, the number of columns in A must equal the number of rows in B

  3. Compare values where the first matrix has 4 columns and the second matrix has 2 rows.

  4. Conclude that since 4≠2 the multiplication is undefined.

Final Answer

The product is undefined due to dimension mismatch.


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