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Find equation of subsurface of basis in coordinates

-1

$begingroup$

To $BbbR^4$ hypersurface belong only vecotrs, whose standart basis coordinates $(x_1; x_2; x_3; x_4)$ satisfies equation $ x^2_1 + x^2_2 − x^2_3 − x^2_4 = 1$.

Find equation of subsurface
of basis$ mathbf f: f_1 = (1; 1; 1; 1), f_2 = (1; 1; −1; −1), f_3 =
(1; −1; 1; −1), f_4 = (1; −1; −1; 1) $ in coordinates $(x
′_1; x′_2; x′_3; x′_4)$

Could You please guide me on how to answer this question, but without fancy math as i'm just starting linear algebra after high school.

vector-spaces

share|cite|improve this question

asked Mar 26 at 9:22

juststuckjuststuck

6

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Well, how would you go about transforming the equation of the line $x-y=0$ from the standard basis of $mathbb R^2$ to some other basis? The process is not substantially different for a more complex equation.
  $endgroup$
  – amd
  Mar 26 at 23:37
  

  
  
  
  

add a comment | 

-1

$begingroup$

To $BbbR^4$ hypersurface belong only vecotrs, whose standart basis coordinates $(x_1; x_2; x_3; x_4)$ satisfies equation $ x^2_1 + x^2_2 − x^2_3 − x^2_4 = 1$.

Find equation of subsurface
of basis$ mathbf f: f_1 = (1; 1; 1; 1), f_2 = (1; 1; −1; −1), f_3 =
(1; −1; 1; −1), f_4 = (1; −1; −1; 1) $ in coordinates $(x
′_1; x′_2; x′_3; x′_4)$

Could You please guide me on how to answer this question, but without fancy math as i'm just starting linear algebra after high school.

vector-spaces

share|cite|improve this question

asked Mar 26 at 9:22

juststuckjuststuck

6

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Well, how would you go about transforming the equation of the line $x-y=0$ from the standard basis of $mathbb R^2$ to some other basis? The process is not substantially different for a more complex equation.
  $endgroup$
  – amd
  Mar 26 at 23:37
  

  
  
  
  

add a comment | 

$begingroup$

To $BbbR^4$ hypersurface belong only vecotrs, whose standart basis coordinates $(x_1; x_2; x_3; x_4)$ satisfies equation $ x^2_1 + x^2_2 − x^2_3 − x^2_4 = 1$.

Find equation of subsurface
of basis$ mathbf f: f_1 = (1; 1; 1; 1), f_2 = (1; 1; −1; −1), f_3 =
(1; −1; 1; −1), f_4 = (1; −1; −1; 1) $ in coordinates $(x
′_1; x′_2; x′_3; x′_4)$

Could You please guide me on how to answer this question, but without fancy math as i'm just starting linear algebra after high school.

vector-spaces

share|cite|improve this question

asked Mar 26 at 9:22

juststuckjuststuck

6

$endgroup$

share|cite|improve this question

asked Mar 26 at 9:22

juststuckjuststuck

6

share|cite|improve this question

asked Mar 26 at 9:22

juststuckjuststuck

6

asked Mar 26 at 9:22

juststuckjuststuck

6

asked Mar 26 at 9:22

juststuckjuststuck

6