Question: this linear algebra question with a specific rigours proof 18. Let T: V - W be a linear transformation, where V and W are finite-

this linear algebra question with a specific rigours proof

18. Let T: V - W be a linear transformation, where V and W are finite- dimensional inner product spaces. Prove the following results. (a) T*T and TT* are positive semidefinite. (See Exercise 15 of Sec- tion 6.3.) (b) rank(T*T) = rank(TT*) = rank(T)

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