Question: 3 10 Let A = and b = 5 The QR factorization of the matrix A is given by: O N N -10 5 V/2


3 10 Let A = and b = 5 The QR factorization of the matrix A is given by: O N N -10 5 V/2 3 5 1 4 N = 5V/2 0 2V/2] 2 O (a) Applying the QR factorization to solving the least squares problem Ax = b gives the system: (use exact values) X = 0 2 2 (b) Use backsubstitution to solve the system in part (a) and find the least squares solution. X =12 8 -11 ConsiderA= |6 -3 -9 4 5 =27 If the Gram-Schmidt process is applied to determine the QR factorization of A, then, after the first two orthomormal vectors q; and q, are computed, we have: 6 2 $ 2z 14 7 Q= | & - L R=| 07 2 X Finish the process; determine q3 and fill in the third column of @ and R
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