Today I Learned

Some of the things I've learned every day since Oct 10, 2016

42: Adjoint Operators

In linear algebra, if T is a linear operator T: V \rightarrow V over a finite vector space V, then there exists a unique T^*: V \rightarrow V, the adjoint operator, such that

\langle T x, y \rangle =  \langle x, T^* y \rangle

for all x, y \in V.

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