2. Using the matrix Q from above we define B = QQ". An SVD for B is T 1 4 2 1 0 0 4 2 3. V5 3/5 3 V5 V5 3 3/5 V5 3 2 B = UEVT 0 1 0 3 1 3 3 1 3 0 0 0 2 3/5 3/5 (a) Explain why B is symmetric. (b) Find a basis for Null{B} (c) Find a matrix for the orthogonal projection of R³ onto Col{B}

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