Let A=[[0.5,-0.5],[0.5,-0.5],[0.5,0.5],[0.5,0.5]]. Note that the columns of A are orthonormal (why?).
(a) Solve the least squares problem Ax=b where b=[[-3],[0],[2],[-2]].
hat(x)=[[â—»],[â—»]]
(b) Find the projection matrix P that projects vectors in R^(4) onto R(A)
P=[[â—»,-,-],[-,-,-],[-,-,-]]
(c) Compute Ahat(x) and Pb
Ahat(x)=[[],[],[-]]
Section 5.5 Orthonormal Sets: Problem 11 (1 point)
[0.5 0.5] 0.5 0.5 Let A = Note that the columns of A are orthonormal (why? 0.5 0.5 Lo.5 0.5
(a) Solve the least squares problem Ax = b where b
0
b) Find the projection matrix P that projects vectors in R onto RA)
P
(c) Compute A and Pb
A=
Pb=