Question: answer the question Let W be a finite-dimensional complex inner product space and let T: W -> W be a self-adjoint linear operator. Assume that

answer the question

Let W be a finite-dimensional complex inner product space and let T: W -> W be a self-adjoint linear operator. Assume that each eigenvalue of linear operator T has absolute value at most 1. (i) Prove that linear operator idw -T is positive semidefinite. (ii) Prove that the linear operator 7 +ividw -72 is an isometry

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