Definition:Determinant/Linear Operator
< Definition:Determinant(Redirected from Definition:Determinant of Linear Operator)
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Definition
Let $V$ be a finite-dimensional vector space over a field $K$.
Let $A: V \to V$ be a linear operator of $V$.
The determinant $\map \det A$ of $A$ is defined to be the determinant of any matrix of $A$ relative to some basis.