hello again,(adsbygoogle = window.adsbygoogle || []).push({});

I'm once again stumped, i was asked to find the rank and nullity of the projection u onto v so here is the given:

T(u)=ProjvU, where v = <2,4>

and this is what i did:

let u = <u1 , u2> and plugged everything in the projection formula and ended up with < 4 + 2(u1) , -16 + 4 (u2)> / sqrt(20)

how am i supposed to get the rank from that, it is not even a matrix! all i can think of is that a projection diagram looks like a right triangle and i would assosiate that with triangular matricies and triangular matricies have a pivot in every column, therefore the rank should be 2. and therefore nullity is 0 .

am i on the right track? thanks in advance.

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# Homework Help: Finding the rank of a projection of u onto v ?

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