Question

How do you find the root of a matrix?

Answer 1

for example this one... i know the roots but how?

Answer 2

det(xI-A)=0

Answer 3

umm.. is there a more simple way to use?

Answer 4

for 2*2 matrix there is a very simple way

Answer 5

if A=[a b: then x^2-(a+d)x+ad-bc=0
c d]

Answer 6

so it your case
x^2-29x+4=0

Answer 7

so.. how will I get the root matrix from that quadratic equation?

Answer 8

the root matrix is [ 1 2 ] but how to solve for it?
[ 3 4 ]

Answer 9

I'll fix my question. I'll close this. thanks for the help.