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August 25th, 2019, 10:43 AM  #1 
Member Joined: Aug 2016 From: Romania Posts: 32 Thanks: 1  Transition matrix problem
I have the following problem that asks me what is the transition matrix from B to B'.In the second image you can view the answer but I don't understand how that answer appeared. Can someone explain me the steps to solve this problem? I am also confused because the answer is a 3x3 matrix and all the matrices are in the form of a 2x2 which is not the same. https://ibb.co/YhSQ3Q1 https://ibb.co/y6DSrQf 
August 25th, 2019, 12:00 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,553 Thanks: 1403 
$A$ is the solution to $B' = A^T B$ for example $\begin{pmatrix}1&0\\0&2\end{pmatrix} = \dfrac 1 2 \begin{pmatrix}2&0\\0&0\end{pmatrix}+ 0 \begin{pmatrix}0&3\\3&0\end{pmatrix}+ \dfrac 2 5\begin{pmatrix}0&0\\0&5\end{pmatrix}$ 
August 25th, 2019, 12:38 PM  #3  
Member Joined: Aug 2016 From: Romania Posts: 32 Thanks: 1  Quote:
https://ibb.co/vxVtVCj Also in your example A^(T) means a transposed matrix?  
August 25th, 2019, 12:46 PM  #4  
Senior Member Joined: Sep 2015 From: USA Posts: 2,553 Thanks: 1403  Quote:
 

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