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 one year ago
consider the sys of equations
F(x,c)= Sx + G(c)=0 where S is an invertible 2*2 matrix and G is continuously differentiable fn and c is any real no. The domain and range of this function is?
 one year ago
consider the sys of equations F(x,c)= Sx + G(c)=0 where S is an invertible 2*2 matrix and G is continuously differentiable fn and c is any real no. The domain and range of this function is?

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nitz
 one year ago
Best ResponseYou've already chosen the best response.0since Sx is a invertible matrix....so it has non zero

suneja
 one year ago
Best ResponseYou've already chosen the best response.0ya the ans to it is R^3 to R^2

nitz
 one year ago
Best ResponseYou've already chosen the best response.0i mean it has to be a non zero matrix

nitz
 one year ago
Best ResponseYou've already chosen the best response.0doesnt matter if one of the elements is zero

suneja
 one year ago
Best ResponseYou've already chosen the best response.0now how did they gt R^3 in case of matrices it cud hav been R^2 as well

nitz
 one year ago
Best ResponseYou've already chosen the best response.0ya...if the matrix is 2*2 ...it should be R^2

suneja
 one year ago
Best ResponseYou've already chosen the best response.0@nitz in case u cud also find the Jacobian for tis equation

suneja
 one year ago
Best ResponseYou've already chosen the best response.0its S... can u explain??

nitz
 one year ago
Best ResponseYou've already chosen the best response.0actually jacobian is generally used to make tranformations :: like u=u(x,y) v=v(x,y) then in this case jacobian of transformation is :: J=(PARTIAL DERIVATIVE OF a function of (x,y))/(PARTIAL DERIVATIVE OF a function of(u,v)) =mod((partial derivative of x wrt to u) (partial derivative of y wrt to u) (partial derivative of x wrt to v) (partial derivative of y wrt to v ))

nitz
 one year ago
Best ResponseYou've already chosen the best response.0in case of a variable of single function it might be:: partial derivative of (F(x,c)) wrt to x =S

suneja
 one year ago
Best ResponseYou've already chosen the best response.0then partial derivative of F(x,c)= Sx + G(c)=0 w.r.t x is S is dat hw v go abt it

suneja
 one year ago
Best ResponseYou've already chosen the best response.0gt dat n wat abt the domain and range cud u figure dat out

nitz
 one year ago
Best ResponseYou've already chosen the best response.0sorry i was to write their function of two variables...

suneja
 one year ago
Best ResponseYou've already chosen the best response.0ya cz partial is used for more than one variables
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