Recent content by freetonik

This is how the problem stated: http://imgur.com/bU4b7.png

They are just some vectors in R2, they're not given.

Sorry, I've faced one more problem... There is T: R2->R2, s.t. T(V1)=8V2, and T(V2)=-4V1. Need to find detA. This is how I started thinking: AV1=8V2 => A=8V2 / V1 AV2=-4V1 => A=-4V1 / V2 Don't know how to think further...

Thank you very much!

f(2t) = a + b2t = c2t2?

There is a similar problem I cannot figure out.. T(f(t)) = f(2t) - 3f(t) Again need to find detA. In this case I don't even know how to start...

Oh, I'm dumb! Thank you very much!

Okay, thank you again! Now I have: -5(a, b, c)T + 8 (b, 2c, 0)T = -5a+8b -5a+16c -5a And: A(a, b, c)T = (-5a+8b, -5a+16c, -5a)T, so A= -5 8 0 -5 0 16 -5 0 0 detA = -640 and it is still wrong :(((

Oh! Thanks! It always happens to me. So, fixing that mistake, T(f)= -5a 3b 11c And A becomes: -5 0 0 0 3 0 0 0 11 and detA = -165 and it is still wrong :(

Homework Statement Linear transformation T: P2->P2 T(f) = -5f + 8f' Need to find detA (A is a matrix of T) Homework Equations T(f) = Af The Attempt at a Solution The basis of P2 is B={1, x, x2}. Some polynomial f with respect to B looks like this in general: (a, b, c)T right...