PassageThe columns of A=1a[1−222−1−22bc]A=\frac1a\begin{bmatrix}1&-2&2\\2&-1&-2\\2&b&c\end{bmatrix} are orthonormal. Answer the subquestions.
QuestionIf ATA+AAT=kIA^T A + A A^T = kI, where kk is a scalar and II is the identity matrix, find kk.