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#76 Help Me ! » help with matrix problem please » 2013-05-06 02:26:09
- mrpace
- Replies: 2
let M be an invertible matrix. If M^3=M, find the possible vales of the determinant of M.
#77 Re: Help Me ! » Prove by induction....... » 2013-04-15 04:45:49
That is sad....
it's not the same question!
#78 Help Me ! » Prove by induction....... » 2013-04-15 04:38:38
- mrpace
- Replies: 3
Let f be some given function for which we wish to find a such that
f(alpha)= 0. Suppose that the equation f(x)= 0 may be arranged into
the form x=g(x), such that for some interval (a,b) alpha is in (a,b) and
g(x) belongs to (a,b) . Further, suppose that g is differentiable with |g'(x)|</= C
for x belonging to (a,b), where C is some positive number. (Note that x=g(x)
implies that alpha=g(alpha)
please note that when i say "belonging to" i mean that symbol that looks a bit like an 'E'
Prove by induction that
|alpha-Xn| </= C^n|alpha-Xo|
thanks
#79 Help Me ! » Show that ~ is an equivalence relation » 2013-04-10 15:06:37
- mrpace
- Replies: 2
so yea i'm not really understanding what an equivalence relation is even. Can anyone do this problem?
Let ~ be the relation defined on Z by
m~n <--> 2 devides m+n
show that ~ is an equivalence relation
describe the partition of Z determined by the equivalence classes of ~
any help is much appreciated.
thanks.
#80 Help Me ! » Find a sequence of plane rotations that transform this » 2012-09-12 12:02:51
- mrpace
- Replies: 0
Find a sequence of plane rotations that transform x=(3,4,12)t to a suitable multiple of (1,0,0)t
the t next to the brackets is meant to to look like an exponent. thanks.
#81 Help Me ! » can anyone do this? » 2012-09-12 11:59:50
- mrpace
- Replies: 1
Show that if {v1 , v2} is an orthogonal basis of a vector space V, and x=c1v1 + c2v2 for any real V, then ci = <x, vi>
this seems super hard to me.
#82 Help Me ! » Not to sure how to do this matrix problem » 2012-08-16 05:05:23
- mrpace
- Replies: 1
B= {(2 -1), (3 -1)}
C= {(1 2), (2 3)}
these are meant to be written as one colum in each.
If (x)c = {1 -1} what is (x)b? and what is x?
this is the last question on my assignment so it would be great if anyone could help me, thanks.
#83 Help Me ! » Tough linear algebra problem » 2012-08-16 00:27:46
- mrpace
- Replies: 2
Let u = (1-i 1+i)
this is meant to be written as one colum and two rows of course.
Find the absolute value of u.
If that's too easy then if V= (1 z) is orthogonal to u, find the complex number z.
gahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh!!!!!
#84 Help Me ! » Question to do with linear independence. » 2012-08-16 00:21:11
- mrpace
- Replies: 1
Let T: V-->W be a linear transformation with NS)T)=0. Suppose {u1,u2} is a linearly independent subset of V. Show that {T(u1),T(u2)} is linearly independent.
Really this one has me fooled.