Question: The QR factrorisation of a matrix A is[-0.580.790.22-0.58-0.21-0.79-0.58-0.580.57][-1.73-1.620-0.800]Find the vector x that minimises ||r||=||Ax-b|| forb=[1.242.241.88]The components of x=[x1x2] to two decimal places accuracy are:x1=x2=

The $QR$ factrorisation $of$ a matrix $Ais$

$\left[\begin{array}{ccc}-0\mathrm{.}58& 0\mathrm{.}79& 0\mathrm{.}22\\ -0\mathrm{.}58& -0\mathrm{.}21& -0\mathrm{.}79\\ -0\mathrm{.}58& -0\mathrm{.}58& 0\mathrm{.}57\end{array}\right]\left[\begin{array}{cc}-1\mathrm{.}73& -1\mathrm{.}62\\ 0& -0\mathrm{.}8\\ 0& 0\end{array}\right]$

Find the vector $x$ that minimises $||r||=||Ax-b||$ for

$b=\left[\begin{array}{c}1\mathrm{.}24\\ 2\mathrm{.}24\\ 1\mathrm{.}88\end{array}\right]$

The components $ofx=\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]to$ two decimal places accuracy are:

$x_1=$

$x_2=$