Let U be a unitary operator on an inner product space V, and let W be a finite-dimensional U-invariant subspace of V. Prove that (a) U(W) = W;(b) W⊥ is U-invariant.

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A: Please check step 2 for the solution.!

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Q: Let T be a linear operator on an inner product space V, and let W be a T-invariant subspace of V.…

A: Hi! As per the norm we will be answering only first 3 sub-parts. If you need the solution of rest of…

Q: Please see image

A: Consider the provided question, Hello. Since your question has multiple sub-parts, we will solve…

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Q: If X is an inner product space, and A is subspace of X then A = AL %3D O True O False

A: TRUE

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Q: on

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A: i uave used the definition of diagonalisation