Find a QR factorization of the matrix A.
-$$A = \left[ \begin{array} { r r r }
0 & 1 & 1 \
1 & 1 & 0 \
- 1 & - 1 & 1 \
1 & - 1 & 1
\end{array} \right]$$
B) $$Q = \left[ \begin{array} { r r r } 0 & 3 & 14 \ 1 & 2 & 2 \ - 1 & - 2 & 9 \ 1 & - 4 & 7 \end{array} \right] , R = \left[ \begin{array} { c c c } \frac { 3 } { \sqrt { 3 } } & 0 & 0 \ \frac { 1 } { \sqrt { 3 } } & \frac { 11 } { \sqrt { 33 } } & 0 \ 0 - \frac { 3 } { \sqrt { 33 } } & \frac { 30 } { \sqrt { 330 } } \end{array} \right]$$

Question

Find a QR factorization of the matrix A.
-$$A = \left[ \begin{array} { r r r } 
0 & 1 & 1 \
1 & 1 & 0 \
- 1 & - 1 & 1 \
1 & - 1 & 1
\end{array} \right]$$
B) $$Q = \left[ \begin{array} { r r r } 0 & 3 & 14 \ 1 & 2 & 2 \ - 1 & - 2 & 9 \ 1 & - 4 & 7 \end{array} \right] , R = \left[ \begin{array} { c c c } \frac { 3 } { \sqrt { 3 } } & 0 & 0 \ \frac { 1 } { \sqrt { 3 } } & \frac { 11 } { \sqrt { 33 } } & 0 \ 0 - \frac { 3 } { \sqrt { 33 } } & \frac { 30 } { \sqrt { 330 } } \end{array} \right]$$

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The Answer of Find a QR factorization of the matrix A.
-$$A = \left[ \begin{array} { r r r } 
0 & 1 & 1 \
1 & 1 & 0 \
- 1 & - 1 & 1 \
1 & - 1 & 1
\end{array} \right]$$
B) $$Q = \left[ \begin{array} { r r r } 0 & 3 & 14 \ 1 & 2 & 2 \ - 1 & - 2 & 9 \ 1 & - 4 & 7 \end{array} \right] , R = \left[ \begin{array} { c c c } \frac { 3 } { \sqrt { 3 } } & 0 & 0 \ \frac { 1 } { \sqrt { 3 } } & \frac { 11 } { \sqrt { 33 } } & 0 \ 0 - \frac { 3 } { \sqrt { 33 } } & \frac { 30 } { \sqrt { 330 } } \end{array} \right]$$

Find a QR Factorization of the Matrix A A=[011110−1−111−11]A = \left[ \begin{array} { r r r } 0 & 1 & 1 \\1 & 1 & 0 \\- 1 & - 1 & 1 \\1 & - 1 & 1\end{array} \right]A=​01−11​11−1−1​1011​​

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