Jordan Matrix

GOKILL · **Joined:** Sun, 29 Nov 2009 00:24:43 UTC **Posts:** 40

Let $A=\left[\begin{array}{ccc}2&10&5\\-2&-4&-4\\3&5&6\end{array}\right]$ .
Find matrix $T \ni TJT^{-1}=A$ .

Spoiler:

GOKILL · **Joined:** Sun, 29 Nov 2009 00:24:43 UTC **Posts:** 40

Sorry... my matrix T doesn't display correctly...
I don't know. I think I have writen the latex correctly

This is the right one (sorry not using latex, it doesn't work)

T =

5 2 -5
5 2 -5
1 1 -2

outermeasure · **Posted:** Mon, 14 Jun 2010 19:09:53 UTC

Is that supposed to be A or T? And what do you mean by $TJT^{-1}\in T$ ?

Oh, I see, you are using this strange convention of $\ni$ meaning "such that" rather than "contains the element".

daveyinaz · **Joined:** Sat, 16 Aug 2008 04:47:19 UTC **Posts:** 208

I'm confused as to the necessity of your response outermeasure...especially the remark about "strange convention"...

in regards to the OP:

$\left[ \begin{matrix} 1 & 3.75 & 2.5\\ 0 & -2& -1\\ 1 & 5& 3 \end{matrix} \right] \cdot A \cdot \left[ \begin{matrix} -4 & 5 & 5 \\ -4 & 2 & 4 \\ 8 & -5 & -8 \end{matrix} \right] = J$

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Jordan Matrix

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