[See] Suppose that X, Y ∈ R^n * k where k ≤q n and X X^*=Y Y^*. Show that there exists an orthogonal matrix Q ∈ R^k * k such that Y=X
Question: Suppose that \(X, Y \in \mathbb{R}^{n \times k}\) where \(k \leq n\) and \(X X^{*}=Y Y^{*}\). Show that there exists an orthogonal matrix \(Q \in \mathbb{R}^{k \times k}\) such that \(Y=X Q\)
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