- #1
chantella28
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I have an assignment problem and I don't even know where to start... I'm taking the course through correspondence so i have no notes or prof to talk to... I've read my text and course manual over and over again but I just can't figure it out
Let T: P2->P2 be a linear transformation defined by T(a+bx+cx^2) = (a+b+c)+2(b+c)x+3cx^2. Let B = {1,1+x,3+4x+2x^2} and B' = {1,x,x^2} be two ordered bases of P2. Find the following:
a) (T)B'B'
b) P the transition matrix from B to B'
c) P-1 the transition matrix from B' to B
d) (T)BB
i somewhat understand part b and c... i know there is explanation of those in my text that i understand... but i don't know how to even approach part a and d... there is nothing even remotely similar in my text examples
Let T: P2->P2 be a linear transformation defined by T(a+bx+cx^2) = (a+b+c)+2(b+c)x+3cx^2. Let B = {1,1+x,3+4x+2x^2} and B' = {1,x,x^2} be two ordered bases of P2. Find the following:
a) (T)B'B'
b) P the transition matrix from B to B'
c) P-1 the transition matrix from B' to B
d) (T)BB
i somewhat understand part b and c... i know there is explanation of those in my text that i understand... but i don't know how to even approach part a and d... there is nothing even remotely similar in my text examples