HM, wie weit bist Du gekommen?
Die EW hast Du?
\(\small \left(\begin{array}{rrrr}\lambda=&2&\left(\begin{array}{rrr}1&1&-1\\1&1&-1\\-1&-1&1\\\end{array}\right)&\left(\begin{array}{r}x1\\x2\\x3\\\end{array}\right) = 0\\\lambda=&5&\left(\begin{array}{rrr}-2&1&-1\\1&-2&-1\\-1&-1&-2\\\end{array}\right)&\left(\begin{array}{r}x1\\x2\\x3\\\end{array}\right) = 0\\\end{array}\right)\)
====>
\(\small \left(\begin{array}{rr}-x2 + x3&-x3\\x2&-x3\\x3&x3\\\end{array}\right)=0\)
\(\small T \, := \, \left(\begin{array}{rrr}-1&1&-1\\1&0&-1\\0&1&1\\\end{array}\right)\)
===>
D:=T^-1 A T=\(\small \, \left(\begin{array}{rrr}2&0&0\\0&2&0\\0&0&5\\\end{array}\right)\)
