Mathematics, 26.10.2020 17:20 micahatwood03
Find the matrix A of the orthogonal projection onto the line L in R2 that consists of all scalar multiples of the vector [12].
Answers: 3
![A=\frac{1}{5}\left[\begin{array}{ccc}1&2\\2&4\end{array}\right]](/tpl/images/0840/4099/aec04.png)
![\left[\begin{array}{ccc}1\\2\end{array}\right]](/tpl/images/0840/4099/0badf.png)
![\left[\begin{array}{ccc}2\\-1\end{array}\right]](/tpl/images/0840/4099/6f737.png)
{
![\frac{1}{\sqrt{5}}\left[\begin{array}{ccc}2\\-1\end{array}\right]](/tpl/images/0840/4099/cd1bc.png)
}![\left[\begin{array}{ccc}1&2\\2&-1\end{array}\right]](/tpl/images/0840/4099/6ffa1.png)
![T(y)=\left[\begin{array}{ccc}1&0\\0&0\end{array}\right]](/tpl/images/0840/4099/7fc7d.png)
![A=\frac{1}{\sqrt{5}}\cdot\left[\begin{array}{ccc}1&2\\2&-1\end{array}\right]\cdot \left[\begin{array}{ccc}1&0\\0&0\end{array}\right]\cdot \frac{1}{\sqrt{5}} \left[\begin{array}{ccc}1&2\\2&-1\end{array}\right]](/tpl/images/0840/4099/b4d4c.png)
![A=\frac{1}{5}\left[\begin{array}{ccc}1&0\\2&0\end{array}\right] \cdot \left[\begin{array}{ccc}1&2\\2&-1\end{array}\right]](/tpl/images/0840/4099/b7b9a.png)
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Find the matrix A of the orthogonal projection onto the line L in R2 that consists of all scalar mul...
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