Find the standard matrix of a linear transformation that maps a point (x,y,z) in 3 dimensional coordinate space XYZ to its projected point in XY coordinate plane followed by reflection across coordinate axis y.

Question

ganeshie8 · Answer

$$(x,y,z) \longrightarrow (x, y, 0) \longrightarrow (-x, y, 0) $$

anonymous · Answer

Wow was it really that easy? 

so the matrix would be: 
[-x]
[ y]
[0]
right?

ganeshie8 · Answer

Nope, it should be a 3x3 matrix which maps (x, y, z) to (-x, y, 0)

anonymous · Answer

Okay can you help me set up how to do that?

ganeshie8 · Answer

try 
$$\begin{bmatrix} -1&0&0\0&1&0\0&0&0\end{bmatrix}$$

anonymous · Answer

Okay thanks. I was way over thinking this problem!

ganeshie8 · Answer

np