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Linear Algebra 7 Online
OpenStudy (anonymous):

Can you guys help me with this problem please?

OpenStudy (goformit100):

Never .... it's because you haven't posted your question yet. .... just kidding

OpenStudy (goformit100):

@ParthKohli

Parth (parthkohli):

Linear algebra? No, I can't help.

OpenStudy (anonymous):

Let \[T:P _{2}->P _{2}\] and \[S:P _{2}->P _{2}\] where \[P _{2}=({ax^2+bx+c | a,b,c \in \mathbb{R}})\]. If\[M _{B}^{A}(T)=\left[\begin{matrix}0 & 2 &-3 \\ 0 & -1/2 & 0 \\-2 &0 &0\end{matrix}\right]\] is the associated matrix to T referred to the bases \[A=\left\{ 2x^2,x-1,3 \right\}\] of the domain and \[B=\left\{ 1,2x,x^2 \right\}\] of the codomain and \[M _{B}^{A}(SoT)=\left[\begin{matrix}0 & 4 &-3 \\ 2 & -1/2 & 0 \\-2 &0 &0\end{matrix}\right]\] the associated matrix to SoT

OpenStudy (anonymous):

a) Find \[M _{B}^{A}(S)\] b)Determine the rule for SoT

OpenStudy (anonymous):

I've already found b) but i can't figure out how to get a)

OpenStudy (anonymous):

@goformit100 yeah, it took me forever to write all that xD

OpenStudy (anonymous):

Do you understand the question @Kikazo ?

OpenStudy (anonymous):

Yes, the question is to find the matrix associated with the linear transformation S, referred to bases A and B @wio

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