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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
 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
 one year ago

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

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

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

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

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

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

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

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

nitzBest ResponseYou've already chosen the best response.0
actually 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 ))
 one year ago

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

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

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

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

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