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Linear Algebra and Learning from Data

Exercise 1.7.9

Answers

1.
$S^{2} = SS = S S^{T} = S S^{- 1} = I$
1.
Suppose we have $S = QΛ Q^{T}$ , since $S^{T} = S^{- 1}$ , we have $QΛ Q^{T} = Q^{- T} Λ^{- 1} Q^{- 1} = Q Λ^{- 1} Q^{T}$ , so we see that $Λ = Λ^{- 1}$ , the eigenvalues are $+ 1$ or $- 1$ .

niuers

2020-03-20 00:00

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