Multiply the Matrices [[2,0,-1],[4,-5,2]]*[[7,-5,1],[1,-4,-3]]

Problem

[[2,0,−1],[4,−5,2]]*[[7,−5,1],[1,−4,−3]]

Solution

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

2. Determine feasibility of the operation. Matrix multiplication A×B is only defined if the number of columns in A equals the number of rows in B

3. Identify the mismatch in dimensions. The first matrix has 3 columns, while the second matrix has 2 rows.

4. Conclude that the operation cannot be performed because 3≠2

Final Answer

[[2,0,−1],[4,−5,2]]*[[7,−5,1],[1,−4,−3]]=Undefined

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