Essay
Find the QR decomposition for the matrix 
.
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Q1: If S is a nonzero subspace of
Q2: If <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBMC1039/.jpg" alt="If is
Q3: If <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBMC1039/.jpg" alt="If is
Q5: If <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBMC1039/.jpg" alt="If is
Q6: Find an orthogonal basis for the subspace
Q7: Suppose <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBMC1039/.jpg" alt="Suppose and
Q8: Find the singular values for the matrix
Q9: If Q is an orthogonal matrix, then
Q10: If <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBMC1039/.jpg" alt="If is
Q11: If a system of equations has more