Find a QR factorization of the matrix A.
-$$A = \left[ \begin{array} { r r }
- 4 & 6 \
2 & - 18 \
0 & 6
\end{array} \right]$$
A) $$Q = \left[ \begin{array} { r r } - 4 & - 6 \ 2 & - 12 \ 0 & 6 \end{array} \right] , R = \left[ \begin{array} { c c } \frac { - 10 } { \sqrt { 5 } } & \frac { 30 } { \sqrt { 5 } } \ 0 & \frac { 36 } { \sqrt { 6 } } \end{array} \right]$$
B) $$Q = \left[ \begin{array} { c c } \frac { 2 } { \sqrt { 5 } } & - \frac { 1 } { \sqrt { 6 } } \ - \frac { 1 } { \sqrt { 5 } } & - \frac { 2 } { \sqrt { 6 } } \ 0 & \frac { 1 } { \sqrt { 6 } } \end{array} \right] , R = \left[ \begin{array} { c c } \frac { - 10 } { \sqrt { 5 } } & \frac { 30 } { \sqrt { 5 } } \ 0 & \frac { 36 } { \sqrt { 6 } } \end{array} \right]$$
C) $Q=\left[\begin{array}{rr} -4 & 6 \ 2 & -18 \ 0 & 6 \end{array}\right], R=\left[\begin{array}{ll} \frac{30}{\sqrt{5}} & 0 \ \frac{36}{\sqrt{6}} & \frac{-10}{\sqrt{5}} \end{array}\right]$

Question

Find a QR factorization of the matrix A.
-$$A = \left[ \begin{array} { r r } 
- 4 & 6 \
2 & - 18 \
0 & 6
\end{array} \right]$$
A) $$Q = \left[ \begin{array} { r r } - 4 & - 6 \ 2 & - 12 \ 0 & 6 \end{array} \right] , R = \left[ \begin{array} { c c } \frac { - 10 } { \sqrt { 5 } } & \frac { 30 } { \sqrt { 5 } } \ 0 & \frac { 36 } { \sqrt { 6 } } \end{array} \right]$$ 
B) $$Q = \left[ \begin{array} { c c } \frac { 2 } { \sqrt { 5 } } & - \frac { 1 } { \sqrt { 6 } } \ - \frac { 1 } { \sqrt { 5 } } & - \frac { 2 } { \sqrt { 6 } } \ 0 & \frac { 1 } { \sqrt { 6 } } \end{array} \right] , R = \left[ \begin{array} { c c } \frac { - 10 } { \sqrt { 5 } } & \frac { 30 } { \sqrt { 5 } } \ 0 & \frac { 36 } { \sqrt { 6 } } \end{array} \right]$$ 
C) $Q=\left[\begin{array}{rr} -4 & 6 \ 2 & -18 \ 0 & 6 \end{array}\right], R=\left[\begin{array}{ll} \frac{30}{\sqrt{5}} & 0 \ \frac{36}{\sqrt{6}} & \frac{-10}{\sqrt{5}} \end{array}\right]$

Quizplus · Accepted Answer

The Answer of Find a QR factorization of the matrix A.
-$$A = \left[ \begin{array} { r r } 
- 4 & 6 \
2 & - 18 \
0 & 6
\end{array} \right]$$
A) $$Q = \left[ \begin{array} { r r } - 4 & - 6 \ 2 & - 12 \ 0 & 6 \end{array} \right] , R = \left[ \begin{array} { c c } \frac { - 10 } { \sqrt { 5 } } & \frac { 30 } { \sqrt { 5 } } \ 0 & \frac { 36 } { \sqrt { 6 } } \end{array} \right]$$ 
B) $$Q = \left[ \begin{array} { c c } \frac { 2 } { \sqrt { 5 } } & - \frac { 1 } { \sqrt { 6 } } \ - \frac { 1 } { \sqrt { 5 } } & - \frac { 2 } { \sqrt { 6 } } \ 0 & \frac { 1 } { \sqrt { 6 } } \end{array} \right] , R = \left[ \begin{array} { c c } \frac { - 10 } { \sqrt { 5 } } & \frac { 30 } { \sqrt { 5 } } \ 0 & \frac { 36 } { \sqrt { 6 } } \end{array} \right]$$ 
C) $Q=\left[\begin{array}{rr} -4 & 6 \ 2 & -18 \ 0 & 6 \end{array}\right], R=\left[\begin{array}{ll} \frac{30}{\sqrt{5}} & 0 \ \frac{36}{\sqrt{6}} & \frac{-10}{\sqrt{5}} \end{array}\right]$

Find a QR Factorization of the Matrix A A=[−462−1806]A = \left[ \begin{array} { r r } - 4 & 6 \\2 & - 18 \\0 & 6\end{array} \right]A=​−420​6−186​​

Find a QR Factorization of the Matrix A $A = \left[ \begin{array} { r r } - 4 & 6 \\2 & - 18 \\0 & 6\end{array} \right]$