Suppose TEL(V) has singular value decomposition given by Tv = $₁(v. e₁) f₁ +...+ Sn(v.en) fn for every ve V, where $₁.... Sn are the singular values of T and e₁.....en and fi..... fn are orthonormal bases of V. (d) Suppose T is invertible. Prove that if ve V, then (v. fn)en T-¹y = (v. fi)ei $1 + + Sn for every v € V.

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A: Kindly refer to Step 2 for the solution.

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A: Question had typo. Hence solved after correction

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