Multiply the Matrices

Problem

[[2/3,−1/3,0],[−1/3,1/3,0],[1,−1,1/3]]*[[3,−1,6],[−5,0,2]]

Solution

1. Check dimensions for matrix multiplication. The first matrix is 3×3 and the second matrix is 2×3 Matrix multiplication A×B is only defined if the number of columns in A equals the number of rows in B

2. Compare dimensions of the given matrices. The first matrix has 3 columns, but the second matrix has only 2 rows.

3. Conclude that the operation is undefined because the inner dimensions (3 and 2 do not match.

Final Answer

[[2/3,−1/3,0],[−1/3,1/3,0],[1,−1,1/3]]*[[3,−1,6],[−5,0,2]]=Undefined

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