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-2

$begingroup$

In the proof process of theorem 15, the book says that $f_i(a)=Sigma_i = j^n x_if_j(a_i)$.
I can't understand this process.

And please explain the whole process of this theory.

linear-algebra

share|cite|improve this question

edited Mar 16 at 11:15

Yanior Weg

2,65211346

asked Mar 16 at 10:46

주혜민주혜민

1

$endgroup$

closed as off-topic by José Carlos Santos, Somos, dantopa, GeorgSaliba, Xander Henderson Mar 18 at 23:13

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – José Carlos Santos, dantopa, GeorgSaliba, Xander Henderson

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Your question is too broad and is not self contained. Also please use LaTex.
  $endgroup$
  – Mariah
  Mar 16 at 11:06
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  They are applying the linearity of $f_i$ and that $a=sum_ix_ia_i$. This is, $f_i$ commutes with sums and scalar multiplication $f_i(a)=f_i(sum_ix_i a_i)=sum_if_i(x_ia_i)=sum_ix_i f_i(a_i)$.
  $endgroup$
  – user647486
  Mar 16 at 11:08
  
  

  
  
  
  


• 
  
  
  

  
  3
  

  
  
  
  
  
  

  
  $begingroup$
  ... and at least download the pic straight up!
  $endgroup$
  – DonAntonio
  Mar 16 at 11:46
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I'm sorry, but how is it that you actually expect people to expend effort to help you when you can't be bothered to take even the most basic steps to help them read your problem?
  $endgroup$
  – Paul Sinclair
  Mar 16 at 19:53
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer. For equations, please use MathJax.
  $endgroup$
  – dantopa
  Mar 18 at 21:05
  

  
  
  
  

add a comment | 

-2

$begingroup$

In the proof process of theorem 15, the book says that $f_i(a)=Sigma_i = j^n x_if_j(a_i)$.
I can't understand this process.

And please explain the whole process of this theory.

linear-algebra

share|cite|improve this question

edited Mar 16 at 11:15

Yanior Weg

2,65211346

asked Mar 16 at 10:46

주혜민주혜민

1

$endgroup$

closed as off-topic by José Carlos Santos, Somos, dantopa, GeorgSaliba, Xander Henderson Mar 18 at 23:13

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – José Carlos Santos, dantopa, GeorgSaliba, Xander Henderson

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Your question is too broad and is not self contained. Also please use LaTex.
  $endgroup$
  – Mariah
  Mar 16 at 11:06
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  They are applying the linearity of $f_i$ and that $a=sum_ix_ia_i$. This is, $f_i$ commutes with sums and scalar multiplication $f_i(a)=f_i(sum_ix_i a_i)=sum_if_i(x_ia_i)=sum_ix_i f_i(a_i)$.
  $endgroup$
  – user647486
  Mar 16 at 11:08
  
  

  
  
  
  


• 
  
  
  

  
  3
  

  
  
  
  
  
  

  
  $begingroup$
  ... and at least download the pic straight up!
  $endgroup$
  – DonAntonio
  Mar 16 at 11:46
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I'm sorry, but how is it that you actually expect people to expend effort to help you when you can't be bothered to take even the most basic steps to help them read your problem?
  $endgroup$
  – Paul Sinclair
  Mar 16 at 19:53
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer. For equations, please use MathJax.
  $endgroup$
  – dantopa
  Mar 18 at 21:05
  

  
  
  
  

add a comment | 

$begingroup$

In the proof process of theorem 15, the book says that $f_i(a)=Sigma_i = j^n x_if_j(a_i)$.
I can't understand this process.

And please explain the whole process of this theory.

linear-algebra

share|cite|improve this question

edited Mar 16 at 11:15

Yanior Weg

2,65211346

asked Mar 16 at 10:46

주혜민주혜민

1

$endgroup$

share|cite|improve this question

edited Mar 16 at 11:15

Yanior Weg

2,65211346

asked Mar 16 at 10:46

주혜민주혜민

1

share|cite|improve this question

edited Mar 16 at 11:15

Yanior Weg

2,65211346

asked Mar 16 at 10:46

주혜민주혜민

1

edited Mar 16 at 11:15

Yanior Weg

2,65211346

edited Mar 16 at 11:15

Yanior Weg

2,65211346

asked Mar 16 at 10:46

주혜민주혜민

1

asked Mar 16 at 10:46

주혜민주혜민

1