Suppose that V is a vector space over R (not necessarily finite dimensional), and
that T1 : V −→ V and T2 : V −→ V are linear transformations from V to V with the
property that T3 = T2 ◦ T1 is the identity transformation, i.e. that T3(v) = v for all
vectors v in V.
T1(x1, x2, x3, . . .) = (0, x1, x2, x3, . . .)
T2(x1, x2, x3, x4, . . .) = (x2, x3, x4, . . .)
Check that T2 ◦ T1 is the identity transformation from V to V.
Stacey Warren - Expert brainly.com
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i have a question... how do you ask a questiom?
if you've asked a question already you have to close it so that you can ask another.
reallly... aw man i miss the old open study, but i guess its for the better because people over post questions:)
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yep, that's why we changed it
it looks like most people are just closing their questions to post new ones; hoping that people browse thru the closed questions ....
yea me tooo
what does t2.t1 mean in this context?
isnt t3(v) = v just a eugene type thing?
i'm not sure, T1 and T2 are 2 transformations.
the open dot is whats a little confusing; does ot mean a dot product? ie, multiplication
i think its T2 of T1
Like .. T2(T1(x)))
hmm, never even heard of that in matrix stuff before
maybe i'm wrong then
im wondering if we would have to do an induction proof
might be easier with a different set of notations; using arxn and brxn for the coeefs
then again, might be just as much of a pain