![SOLVED:Let T be the linear operator on represented by the matrix ~3 -1 5 6 | Find the rational form of T and a basis relative to which T is in rational SOLVED:Let T be the linear operator on represented by the matrix ~3 -1 5 6 | Find the rational form of T and a basis relative to which T is in rational](https://cdn.numerade.com/ask_images/271bafa9e0d04bee8a8eac2d9a504fd0.jpg)
SOLVED:Let T be the linear operator on represented by the matrix ~3 -1 5 6 | Find the rational form of T and a basis relative to which T is in rational
![Linear Algebra Canonical Forms 資料來源: Friedberg, Insel, and Spence, “Linear Algebra”, 2nd ed., Prentice-Hall. (Chapter 7) 大葉大學 資訊工程系 黃鈴玲. - ppt video online download Linear Algebra Canonical Forms 資料來源: Friedberg, Insel, and Spence, “Linear Algebra”, 2nd ed., Prentice-Hall. (Chapter 7) 大葉大學 資訊工程系 黃鈴玲. - ppt video online download](https://slideplayer.com/slide/4519271/15/images/6/Example+1+The+8%EF%82%B48+matrix..jpg)
Linear Algebra Canonical Forms 資料來源: Friedberg, Insel, and Spence, “Linear Algebra”, 2nd ed., Prentice-Hall. (Chapter 7) 大葉大學 資訊工程系 黃鈴玲. - ppt video online download
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Prove that every n$\times$n matrix possesses a canonical basis(Jordan Canonical Form) in $\Re^n$ - Mathematics Stack Exchange
![Linear Algebra Canonical Forms 資料來源: Friedberg, Insel, and Spence, “Linear Algebra”, 2nd ed., Prentice-Hall. (Chapter 7) 大葉大學 資訊工程系 黃鈴玲. - ppt video online download Linear Algebra Canonical Forms 資料來源: Friedberg, Insel, and Spence, “Linear Algebra”, 2nd ed., Prentice-Hall. (Chapter 7) 大葉大學 資訊工程系 黃鈴玲. - ppt video online download](https://slideplayer.com/slide/4519271/15/images/5/For+any+linear+operator+whose+characteristic+polynomial+splits%2C+i.+e.jpg)
Linear Algebra Canonical Forms 資料來源: Friedberg, Insel, and Spence, “Linear Algebra”, 2nd ed., Prentice-Hall. (Chapter 7) 大葉大學 資訊工程系 黃鈴玲. - ppt video online download
![Why two possibles Jordan Canonical forms of a matrix cannot be similar? - Mathematics Stack Exchange Why two possibles Jordan Canonical forms of a matrix cannot be similar? - Mathematics Stack Exchange](https://i.stack.imgur.com/QRfSr.png)