Homework Statement
http://img10.imageshack.us/img10/3390/55486934.jpg [Broken]
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
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
Quick plz! 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
plz 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 plz..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
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
Homework Statement
[PLAIN]http://img683.imageshack.us/img683/4530/unledkw.jpg [Broken]
can someone please explain why it is not closed under addition???
My textbook did not explain very well, but I understand this can be zero vector and it is closed under scalar multiplication.
thanks...
Homework Statement
lim x->0
5x(cos 9x-1)/sin 5x-5x
Homework Equations
The Attempt at a Solution
answer is 243/25
The derivative of sin 5x-5x is always 0,
dunno know how to do it...
Homework Statement
An object of temperature 60oF is placed in a medium maintained at a constant temperature moF. At the end of 5 mins thetemperature of the object is 45 oF and after another 5 mins its temperature is 36 oF.
Find m
Homework Equations
y=cekt+m
The Attempt at a...
Homework Statement
(2x-10+e)^(y+8)=e^(x-6)
value of dy/dx at the point, (5,-9)
Homework Equations
The Attempt at a Solution
(y+8)ln(2x-10+e)=x-6
y' ln(2x-10+e)+(y+8)(2+e)/(2x-10+e)=1
ln(2*5-10+e)=1
y'+(-9+8)(2+e)/e=1
y'-(2+e)/e=1
y'=1+(2+e)/e
but the answer is (2+e)/e, I don't know...