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Thanks for the hint!

Homework Statement http://img10.imageshack.us/img10/3390/55486934.jpg Homework Equations This is what I was thinking: tan−1(∏x)−tan−1(x)=∫^{g(x)}_{f(x)}h(y)dy The Attempt at a Solution I don't really understand how to do this question

Homework Statement just wondering, what exactly is T2(v)=0? is it T(T(v))=0 or T(v)*T(v)=0?? Homework Equations The Attempt at a Solution

Yes. But the question in my assignment is Find a basis of U, the subspace of P3 d) U = {p(x) in P3 | p(7) = 0, p(5) = 0,p(3) = 0,p(1) = 0} and I wrote no basis

1/2 it doesn't matter

does that mean the basis exist {1,x,x2,x3}?

can i write does not exist? thanks!

Quick please! T(A) = Tr(A) Homework Statement Let T : M22 define as T(A) = Tr(A). Show that T is a linear transformation and find the dimension of ker T. Homework Equations The Attempt at a Solution what is Tr(A)? is it trace(A), or rT(A) , r is a real number?

so the basis would be {(x - 7)(x - 5)x,(x - 7)(x - 5)}? dim=2 please answer this one U = {p(x) in P3 | p(7) = 0, p(5) = 0,p(3) = 0,p(1) = 0} does p(x) exist? it has 4 degree(x - 7)(x - 5)(x - 3)(x - 1), but P3 is a set of third degree, so it does not exist is that right?

Homework Statement Find a basis of U, the subspace of P3 U = {p(x) in P3 | p(7) = 0, p(5) = 0}Homework Equations The Attempt at a Solution ax3+bx2+cx+d p(7)=343a+49b+7c+d=0 p(5)=125a+25b+5c+d=0 d=-343a-49b-7c d=-125a-25b-5c ax3+bx2+cx+{(d+d)/2} -->{(d+d)/2}=2d/2=d...

And using this calculator http://wims.unice.fr/wims/en_tool~linear~matrix.html I found that Value Multiplicity Vector 6 1 (0,1,1) 3 2 (1,0,1), (0,1,-1/2) (1,0,1) and (0,1,1) is right, but (0,1,-1/2) is different to the website , which is (1/2,1,0) I m confused..

oh i I figure it out... I was just asking Do I get the same eigenvector (which is 0,1,1) if I transform -3,0,0 0,1,-1 0,0,0 to rref In reduced row-echelon form (RREF), the matrix above is 1 0 0 0 1 -1 0 0 0 The only thing that changed is row 1. You'll get exactly the same...

quick please..diagonalize matrix (row reduce) Homework Statement http://www.math4all.in/public_html/linear%20algebra/chapter10.1.html 10.1.5 Examples: (ii) this part: ----------------------------------------------------------------------------------------- are both eigenvector for the...

Homework Statement just wondering if A is similar to the reduced(or non-reduced) row echelon form of A Homework Equations The Attempt at a Solution

Homework Statement http://en.wikibooks.org/wiki/Linear_Algebra/Vector_Spaces_and_Linear_Systems/Solutions Problem 14 Can answer be (3,1,2)T (2,0,2)T? also, can I reduce the matrix without transpose? thanks Homework Equations The Attempt at a Solution