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Multiply the Matrices [[-2,1,4],[-7,4,1]]*[[-4,4],[6,0]]

Problem

[[−2,1,4],[−7,4,1]]*[[−4,4],[6,0]]

Solution

  1. Check dimensions to see if multiplication is possible. The first matrix is 2×3 and the second matrix is 2×2

  2. Identify the rule for matrix multiplication. The number of columns in the first matrix must equal the number of rows in the second matrix.

  3. Determine compatibility. The first matrix has 3 columns and the second matrix has 2 rows.

  4. Conclude that the operation is undefined because the dimensions do not match for multiplication.

Final Answer

[[−2,1,4],[−7,4,1]]*[[−4,4],[6,0]]=Undefined


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