#Uni Linear algebra question.

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prime saddle
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Anyone solve this with all steps?

wide sequoia
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anticlockwise rotation matrix in R² is (cosx,sinx;-sinx,cosx)
so clockwise rotation will have a theta that is negative:
cos(-11π/6)=√3/2
sin(-11π/6)=0.5
so we have (0.5√3,0.5;-0.5,0.5√3)
which we need to multiply by the projection matrix.

the direction vector for y=-3x is (1,-3) which follows with:
proj(x,y)=v(((x,y)•v)/(v•v))
v((x-3y)/10) which is ⅒v(x-3y)
which we can now form into the projection matrix:
⅒(1,-3;-3,9)

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from here you multiply these two matrices

prime saddle
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Could you check your dm.

wide sequoia
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what dm

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oh that

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sorry I don't have time for any more people

prime saddle
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It is just a 1 time thing, could I tell u the details?

wide sequoia
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uh sure, no guarantees though

prime saddle
wide sequoia
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no I can't help you with that, sorry