Question

The transformation 'orthogonal projection on X- axis' is given by matrix

• A. $\left[\begin{array}{cc}0& 1\\ 0& 0\end{array}\right]$
• B. $\left[\begin{array}{cc}0& 0\\ 1& 0\end{array}\right]$
• C. $\left[\begin{array}{cc}1& 0\\ 0& 0\end{array}\right]$
• D. $\left[\begin{array}{cc}0& 0\\ 0& 1\end{array}\right]$

Answer 1

Answer: (C)

Under the given transformation, a point (x, y) is transformed to (x, 0), i.e., the foot of perpendicular from (x, y) on the x-axis.
Now $x=1x+0y$ and $0=0x+0y$, therefore, the required matrix of the transformation is $\left[\begin{array}{cc}1& 0\\ 0& 0\end{array}\right]$