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 1d accepted The determinant of the transposing endomorphism 1d comment The determinant of the transposing endomorphism ah I see now what you mean thank you!! 1d comment The determinant of the transposing endomorphism basically you are saying that if $E=E_1\oplus E_2$ and $f$ is an endomorphism of $E$ such that we can write $f$ as $f=f_1\oplus f_2$ then $det(f)=det(f_1).det(f_2)$ ? is this what you are saying ? if yes where can i find something to read on this. Thanks ! 1d comment The determinant of the transposing endomorphism Any matrix $M$ is written uniquely as $M=A+S$ so $f(M)=f(A)+f(S)=-A+S=id(A)+id(S)$. After that i don't see how do you get to the product of the determinants especially that the function $det$ is not linear !! I know that this is true for composition of endomorphisms : $det(v\circ u)=det(v).det(u)$ but here i don't see what you did. 1d asked The determinant of the transposing endomorphism Apr 26 awarded Popular Question Apr 22 awarded Popular Question Apr 7 awarded Popular Question Mar 30 accepted two equivalents equations with different representations in the plane Mar 30 comment two equivalents equations with different representations in the plane Yes I see that, but can we say that the cartesian equation represents the graph only for $x>0$ or can we say that the parametric equations above is a parametrization of only the first part in the first quadrant of the equation.. that is $\begin{cases} x = 4e^{t/4} \\ y = 3e^{t} \\ \end{cases}$ if and only if $y=\frac{3x^4}{256}$ and $x>0$ so without the part $x>0$ the parametrization is false, Am I right ? Mar 30 asked two equivalents equations with different representations in the plane Mar 29 accepted Points of intersection of two parametric curves Mar 29 asked Points of intersection of two parametric curves Mar 14 comment area between polar equation $r = \sin\theta$ and $r = \cos\theta$ yes the area is $\frac{\pi}{8}-\frac{1}{4}$ Mar 11 comment Equivalent matrices represent the same linear map in different bases Thank you, that was the answer i'm looking for! Mar 11 accepted Equivalent matrices represent the same linear map in different bases Mar 11 comment Equivalent matrices represent the same linear map in different bases Could you please elaborate, I don't see what you are saying. Thanks! Mar 11 comment Equivalent matrices represent the same linear map in different bases I'm talking about equivalent matrices not similar matrices. $A$ and $B$ are not square matrix they are of type $(n,p)$. Mar 11 asked Equivalent matrices represent the same linear map in different bases Mar 7 accepted Evaluating the integral $S=\int_0^12\pi t^4\sqrt{9t^2+4}dt$