copy and paste this google map to your website or blog!
Press copy button and paste into your blog or website.
(Please switch to 'HTML' mode when posting into your blog. Examples: WordPress Example, Blogger Example)
linear algebra - Find a basis for $ImT$ and represent the image . . . By looking at the basis i built for ImT I m T it seems that the first element is always 0 In contrast, by looking at T(G) T (G) i have just build, it seems that the first element in the image, not always zero but T(G) T (G) and BImT B I m T both represent the same thing - ImT I m T, no? So how it look like they dont represent the same thing?
Show that $ImT^t=(kerT)°$ - Mathematics Stack Exchange Let T: V → W T: V → W be linear transformation and V have a finite dimension Show that ImTt = (kerT)° I m T t = (k e r T) ° I have to prove it by mutual inclusion I have proven the first inclusion but I don't know how to prove that (kerT)° (k e r T) ° is contained in ImTt I m T t And I don't know the theory for orthogonal complements yet, so the problem has to be solved using the
Prove that $T^*$ is injective iff $ImT$ Is dense Let X,Y be two normed spaces, and T: X → Y T: X → Y a bounded linear operator prove that the adjoint operator T∗ T ∗ (T∗f(x) = f(Tx) T ∗ f (x) = f (T x) is injective iff ImT I m T is dense any help would be great guys I did try a bit to solve it myself, using the deffinition of injective and going straightforward It didn't work I suppose that I have to use some theorem in order
Trying to show a projection from $Im T$ along $Ker T$ given that $T^2=T$ Given T2 = T T 2 = T, I have already proved that there exists a vector space V = Im P ⊕ Ker P V = Im P ⊕ Ker P I am having trouble proving that T is a projection onto ImT I m T along KerT K e r T I tried the following:
V = ImT \\oplus \\ KerT - Mathematics Stack Exchange Linear Tranformation that preserves Direct sum V = ImT ⊕ KerT V = I m T ⊕ K e r T Ask Question Asked 12 years, 5 months ago Modified 12 years, 5 months ago