Find a QR Factorization of the Matrix A $$A = \left[ \begin{array} { r r r } 0 & 1 & 1 \\1 & 1 & 0 \\- 1 & - 1 & 1 \\1 & - 1 & 1\end{array} \right]$$

Multiple Choice

Find a QR factorization of the matrix A.
- $$A = \left[ \begin{array} { r r r } 0 & 1 & 1 \\1 & 1 & 0 \\- 1 & - 1 & 1 \\1 & - 1 & 1\end{array} \right]$$

A)


B)
$$Q = \left[ \begin{array} { r r r } 0 & 3 & 14 \\1 & 2 & 2 \\- 1 & - 2 & 9 \\1 & - 4 & 7\end{array} \right] , R = \left[ \begin{array} { c c c } \frac { 3 } { \sqrt { 3 } } & 0 & 0 \\\frac { 1 } { \sqrt { 3 } } & \frac { 11 } { \sqrt { 33 } } & 0 \\0 - \frac { 3 } { \sqrt { 33 } } & \frac { 30 } { \sqrt { 330 } }\end{array} \right]$$