Kikazo 2 years ago Can you guys help me with this problem please?

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1. goformit100

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

2. goformit100

@ParthKohli

3. ParthKohli

Linear algebra? No, I can't help.

4. Kikazo

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

5. Kikazo

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

6. Kikazo

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

7. Kikazo

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

8. wio

Do you understand the question @Kikazo ?

9. Kikazo

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