![SOLVED: Let K be a body and Ae K a matrix whose characteristic polynomial breaks down into linear factors: Show that there is diagonalizable matrix D and a nilpotent matrix N with SOLVED: Let K be a body and Ae K a matrix whose characteristic polynomial breaks down into linear factors: Show that there is diagonalizable matrix D and a nilpotent matrix N with](https://cdn.numerade.com/ask_images/a81acf09d52548c187d1fdf40b7013e3.jpg)
SOLVED: Let K be a body and Ae K a matrix whose characteristic polynomial breaks down into linear factors: Show that there is diagonalizable matrix D and a nilpotent matrix N with
![Twitter 上的 MathType:"An nxn #matrix is non-diagonalizable if it has less than n linearly independent eigenvectors. The #Jordan normal (or canonical) form allows to obtain an almost diagonal matrix and is often Twitter 上的 MathType:"An nxn #matrix is non-diagonalizable if it has less than n linearly independent eigenvectors. The #Jordan normal (or canonical) form allows to obtain an almost diagonal matrix and is often](https://pbs.twimg.com/media/EvnYO45XEAIQSvt.jpg)
Twitter 上的 MathType:"An nxn #matrix is non-diagonalizable if it has less than n linearly independent eigenvectors. The #Jordan normal (or canonical) form allows to obtain an almost diagonal matrix and is often
![Therorem 1: Under what conditions a given matrix is diagonalizable ??? Jordan Block REMARK: Not all nxn matrices are diagonalizable A similar to (close. - ppt download Therorem 1: Under what conditions a given matrix is diagonalizable ??? Jordan Block REMARK: Not all nxn matrices are diagonalizable A similar to (close. - ppt download](https://slideplayer.com/80/13314021/big_thumb.jpg)