A singular value decomposition of A is as follows: A = USigma V^T = egin{bmatrix} 0.5 & 0.5 & 0.5 & 0.5\ 0.5 & -0.5 & 0.5 & -0.5\ -0.5 & -0.5 & 0.5 & 0.5\ -0.5 & 0.5 & 0.5 & -0.5 end{bmatrix} egin{bmatrix} 15 & 0\ 0 & 10\ 0 & 0\ 0 & 0 end{bmatrix} egin{bmatrix} 0.6 & 0.8\ -0.8 & 0.6 end{bmatrix} Find the least-squares solution of the linear system Ax = b, where b = egin{bmatrix} -3\ -2\ 3\ 3 end{bmatrix} hat{x}_1 = -0.1846 hat{x}_2 = -0.3233
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5 & 2.5 \\ 2.5 & 2.5 \\ -0.5 & -2.5 \\ 0.5 & 0.5 \end{bmatrix} \] Show more…
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