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jinksys
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Homework Statement
Verify that any square matrix is a linear operator when considered as a linear transformation.
Homework Equations
The Attempt at a Solution
If a square matrix A[itex]\in[/itex]ℂ[itex]^{n,n}[/itex] is a linear operator on the vector space C[itex]^{n}[/itex], where n ≥ 1, then the square matrix A is of the correct dimension to be a linear transform from C->C.