Consider the matrix A=\left[\begin{array}{cc}
1 & 1 \\
-1 & 1 \\
\sqrt{2} & \sqrt{2}
\end{array}\right] (a) Find the reduced singular value decomposition of A, i.e., a square diagonal matrix E andmatrices U, V with orthonormal columns such that A = U£V". (b) Find the standard matrix of the orthogonal projection ontoRow(A). b for(c) Find a least squares solution â of Ax b=\left[\begin{array}{l}
1 \\
0 \\
0
\end{array}\right] (d) Is the solution you found in part (c) unique? Explain why or why not.