1.

COMPUTE THE PROJECTION OF THE VECTOR V=(1,1,0) ONTO THE PLANE X+Y-Z=0.

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Answer:

here is your answer

Step-by-step explanation:

Calculate the matrix for the projection of R3 onto the plane x+y+z=0.

If b=⎡⎣⎢xyz⎤⎦⎥ and A=⎡⎣⎢10−101−1⎤⎦⎥ I get stuck when TRYING to solve using

ATAx^=ATb

and

projvb=Ax^

AT=[1001−1−1]

therefore ATA=[2112]

and ATb=[x−zy−z]

So

[2112]x^=[x−zy−z]

Let's SAY x^=[ab],

then 2a+b=x−z and a+2b=y−z

Here is where I get CONFUSED, what is x^ so that I can PLUG it into projvb=Ax^ and get the projection vector?

hope it helps you


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