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 Jun 9 awarded Notable Question May 11 awarded Popular Question Aug 12 comment Why is the complex number $z=a+bi$ equivalent to the matrix form $\left(\begin{smallmatrix}a &-b\\b&a\end{smallmatrix}\right)$ Actually I ask this question because I want to know how to get the real-number matrix form of quaternions, thanks. Aug 10 comment A funny question, about the source of complex number. @J.M. it rotate $(-90^{\circ})$ ,you mean it is just a define? Aug 10 asked A funny question, about the source of complex number. Aug 10 awarded Nice Question Aug 10 awarded Scholar Aug 10 accepted Why is the complex number $z=a+bi$ equivalent to the matrix form $\left(\begin{smallmatrix}a &-b\\b&a\end{smallmatrix}\right)$ Aug 10 comment Why is the complex number $z=a+bi$ equivalent to the matrix form $\left(\begin{smallmatrix}a &-b\\b&a\end{smallmatrix}\right)$ Yes ,the question is the basic of the real-number matrix form of quaternions which is I really want to know next step. Aug 10 comment Why is the complex number $z=a+bi$ equivalent to the matrix form $\left(\begin{smallmatrix}a &-b\\b&a\end{smallmatrix}\right)$ Very clear and easy understandable,thank you Aug 10 awarded Supporter Aug 9 awarded Student Aug 9 asked Why is the complex number $z=a+bi$ equivalent to the matrix form $\left(\begin{smallmatrix}a &-b\\b&a\end{smallmatrix}\right)$