Transition matrix

[Frandom]

Hey ! I have an easy exercise but I'm not sure of my result.

Given B = {(1,0),(0,1)] and C = {(2,4),(1,3)}, find the transition matrix from B to C.

Can you give me the answer so I can check result ?

Thank you !

 

[pka]

Hey ! I have an easy exercise but I'm not sure of my result.
Given B = {(1,0),(0,1)] and C = {(2,4),(1,3)}, find the transition matrix from B to C.
Can you give me the answer so I can check result

Here is a better idea in keeping with the rules of this forum:
YOU post the answer and we will check your answer.

 

[Frandom]

For me it's the matrix :

2 1
4 3

 

[topsquark]

For me it's the matrix :

2 1
4 3

Good! How did you find that?

-Dan

 

[Frandom]

It's very easy ! But the teacher gave another result and I was lost !

 

[topsquark]

It's very easy ! But the teacher gave another result and I was lost !

Here's the general setup:

To transform a matrix B into C by a general matrix [imath]T = \left ( \begin{matrix} a & b \\ c & d \end{matrix} \right )[/imath] we have C = TB. So in your case
[imath]\left ( \begin{matrix} 2 & 4 \\ 1 & 3 \end{matrix} \right ) = \left ( \begin{matrix} a & b \\ c & d \end{matrix} \right ) ~ \left ( \begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix} \right ) = \left ( \begin{matrix} a & b \\ c & d \end{matrix} \right )[/imath]
by basic matrix multiplication.

I don't know how there could be another answer.

-Dan