I have to answer these 2 questions:
I'm not sure where to begin...any ideas?
2026-04-01 20:21:53.1775074913
QR factorization and orthogonality
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Hint:
since $Q^TQ=I$, we have: $$ A^TA=\left(Q\begin{bmatrix} R\\O\end{bmatrix} \right)^T \left(Q\begin{bmatrix} R\\O\end{bmatrix} \right)=[R^T,O]Q^TQ\begin{bmatrix} R\\O\end{bmatrix}=R^TR $$