Linear transformation graph Problem
0
The below is taken from this wiki page.
Question: What does the "P" in the graph below represent? And how this graph is proved?
I got confused when I saw the definition on Wikipedia...
linear-transformations
edited Nov 29 at 13:29
Omnomnomnom
126k788176
asked Nov 29 at 13:07
CCola
275
add a comment |
0
The below is taken from this wiki page.
Question: What does the "P" in the graph below represent? And how this graph is proved?
I got confused when I saw the definition on Wikipedia...
linear-transformations
edited Nov 29 at 13:29
Omnomnomnom
126k788176
asked Nov 29 at 13:07
CCola
275
$P$ is the transition matrix from $B'$ to $B$
– Omnomnomnom
Nov 29 at 13:36
$P$ is the matrix encoding the change of basis from $B'$ to $B$. The fact that the diagram commutes---that $P^{-1} A P = A'$---is just a matter of unwinding the definitions.
– Travis
Nov 29 at 13:40
In order to understand what the diagram conveys, I suggest you look at these online notes, starting with the "change of basis" section on page 235. While wikipedia is a handy resource for those who are already familiar with the subject, it is no substitute for a textbook.
– Omnomnomnom
Nov 29 at 13:40
ok, I will take a look, thank you for your material.
– CCola
Nov 29 at 14:25
add a comment |
0
0
0
The below is taken from this wiki page.
Question: What does the "P" in the graph below represent? And how this graph is proved?
I got confused when I saw the definition on Wikipedia...
linear-transformations
edited Nov 29 at 13:29
Omnomnomnom
126k788176
asked Nov 29 at 13:07
CCola
275
The below is taken from this wiki page.
Question: What does the "P" in the graph below represent? And how this graph is proved?
I got confused when I saw the definition on Wikipedia...
linear-transformations
linear-transformations
edited Nov 29 at 13:29
Omnomnomnom
126k788176
asked Nov 29 at 13:07
CCola
275
edited Nov 29 at 13:29
Omnomnomnom
126k788176
asked Nov 29 at 13:07
CCola
275
edited Nov 29 at 13:29
Omnomnomnom
126k788176
edited Nov 29 at 13:29
Omnomnomnom
126k788176
edited Nov 29 at 13:29
Omnomnomnom
126k788176
126k788176
asked Nov 29 at 13:07
CCola
275
asked Nov 29 at 13:07
CCola
275
asked Nov 29 at 13:07
CCola
275
275
$P$ is the transition matrix from $B'$ to $B$
– Omnomnomnom
Nov 29 at 13:36
$P$ is the matrix encoding the change of basis from $B'$ to $B$. The fact that the diagram commutes---that $P^{-1} A P = A'$---is just a matter of unwinding the definitions.
– Travis
Nov 29 at 13:40
In order to understand what the diagram conveys, I suggest you look at these online notes, starting with the "change of basis" section on page 235. While wikipedia is a handy resource for those who are already familiar with the subject, it is no substitute for a textbook.
– Omnomnomnom
Nov 29 at 13:40
ok, I will take a look, thank you for your material.
– CCola
Nov 29 at 14:25
add a comment |
$P$ is the transition matrix from $B'$ to $B$
– Omnomnomnom
Nov 29 at 13:36
$P$ is the matrix encoding the change of basis from $B'$ to $B$. The fact that the diagram commutes---that $P^{-1} A P = A'$---is just a matter of unwinding the definitions.
– Travis
Nov 29 at 13:40
In order to understand what the diagram conveys, I suggest you look at these online notes, starting with the "change of basis" section on page 235. While wikipedia is a handy resource for those who are already familiar with the subject, it is no substitute for a textbook.
– Omnomnomnom
Nov 29 at 13:40
ok, I will take a look, thank you for your material.
– CCola
Nov 29 at 14:25
$P$ is the transition matrix from $B'$ to $B$
– Omnomnomnom
Nov 29 at 13:36
$P$ is the transition matrix from $B'$ to $B$
– Omnomnomnom
Nov 29 at 13:36
$P$ is the matrix encoding the change of basis from $B'$ to $B$. The fact that the diagram commutes---that $P^{-1} A P = A'$---is just a matter of unwinding the definitions.
– Travis
Nov 29 at 13:40
$P$ is the matrix encoding the change of basis from $B'$ to $B$. The fact that the diagram commutes---that $P^{-1} A P = A'$---is just a matter of unwinding the definitions.
– Travis
Nov 29 at 13:40
In order to understand what the diagram conveys, I suggest you look at these online notes, starting with the "change of basis" section on page 235. While wikipedia is a handy resource for those who are already familiar with the subject, it is no substitute for a textbook.
– Omnomnomnom
Nov 29 at 13:40
In order to understand what the diagram conveys, I suggest you look at these online notes, starting with the "change of basis" section on page 235. While wikipedia is a handy resource for those who are already familiar with the subject, it is no substitute for a textbook.
– Omnomnomnom
Nov 29 at 13:40
ok, I will take a look, thank you for your material.
– CCola
Nov 29 at 14:25
ok, I will take a look, thank you for your material.
– CCola
Nov 29 at 14:25
add a comment |
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$P$ is the transition matrix from $B'$ to $B$
– Omnomnomnom
Nov 29 at 13:36
$P$ is the matrix encoding the change of basis from $B'$ to $B$. The fact that the diagram commutes---that $P^{-1} A P = A'$---is just a matter of unwinding the definitions.
– Travis
Nov 29 at 13:40
In order to understand what the diagram conveys, I suggest you look at these online notes, starting with the "change of basis" section on page 235. While wikipedia is a handy resource for those who are already familiar with the subject, it is no substitute for a textbook.
– Omnomnomnom
Nov 29 at 13:40
ok, I will take a look, thank you for your material.
– CCola
Nov 29 at 14:25