Multiply the Matrices [[3,-2,1],[4,1,-1]]*[[6,-4,2],[8,2,-2]]

Problem

[[3,−2,1],[4,1,−1]]*[[6,−4,2],[8,2,−2]]

Solution

1. Check dimensions for matrix multiplication. The first matrix is 2×3 and the second matrix is 2×3

2. Identify the rule for matrix multiplication. To multiply two matrices, the number of columns in the first matrix must equal the number of rows in the second matrix.

3. Compare the values where the number of columns in the first matrix is 3 and the number of rows in the second matrix is 2

4. Conclude that since 3≠2 the operation is undefined.

Final Answer

[[3,−2,1],[4,1,−1]]*[[6,−4,2],[8,2,−2]]=Undefined

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