/sci/ - Science & Math

>>11588764
Write [math]A = \left( \array{a && b && c \\ d && e && f} \right) [/math] and compare [math]\lambda A = T(A)[/math] out by hand.
You'll notice that the [math]e[/math] entry zeroes on one side, so you can zero all the [math]e[/math]s in both sides. Comparing the results tells you that the only possible non-zero eigenvalue is 2 (including the complex ones btw).
Algebraic multiplicity becomes muh difference, geometric has to be computed by hand.