Projection matrix

[UOAMCBURGER]

Homework Statement

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Homework Equations

The Attempt at a Solution

The solution is obviously given, but I don't really understand what is done there. What method is being used? so I can understand, because i see how they attained v, but then that vector normalised is not correct is it?

 

[StoneTemplePython]

You (and we) need the Relevant Equations filled out.

What is a Projection Matrix? What kinds of properties does it have that we can take for granted?

 

[UOAMCBURGER]

You (and we) need the Relevant Equations filled out.

What is a Projection Matrix? What kinds of properties does it have that we can take for granted?

Don't worry, I learned how to solve it now. since you can find the projection matrix pretty easily then you just plug in the values from the given vector, here W (unit vector of v) the squares cancel the square roots and you're left with that matrix in solution P. But i was wondering how do you add a matrix into the text?

 

[StoneTemplePython]

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But i was wondering how do you add a matrix into the text?

$P = \mathbf{ww}^T = \frac{1}{5}\begin{bmatrix} 4 & -2\\ -2 & 1 \end{bmatrix}$

right click the above and choose "show math as " -> "Text commands"

LaTeX is the markup language. There is a primer here:
https://www.physicsforums.com/help/latexhelp/

I also like using
https://www.codecogs.com/latex/eqneditor.php