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Multiply the Matrices [[1,2,3]][[3,5],[4,6]]

Problem

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

Solution

  1. Check dimensions to ensure the multiplication is defined. The first matrix is a 1×3 matrix and the second matrix is a 2×2 matrix.

  2. Determine compatibility by comparing the number of columns in the first matrix (3) to the number of rows in the second matrix (2).

  3. Conclude that since the number of columns in the first matrix does not equal the number of rows in the second matrix (3≠2, the multiplication is undefined.

Final Answer

[[1,2,3]]*[[3,5],[4,6]]=Undefined


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