00:01
Hello friends, we are given that x dash equal to 0 1 minus 1 0 x where x of 0 equal to 7 by 3.
00:08
We take a equal to 0 1 minus 1 0 and we know that determinant of a minus lambda i equal to 0.
00:23
Therefore, minus lambda 1 minus 1 minus lambda equal to 0.
00:30
Therefore, lambda squared plus 1 equal to 0.
00:33
Therefore, lambda 1 equal to plus i lambda 2 equal to minus i.
00:41
Let us find the eigen term of a for lambda equal to i.
00:58
Therefore, consider a minus that is a minus minus lambda i into x equal to 0 that is minus i 1 minus 1 and minus i x 1 x 2 equal to 0 0.
01:26
We can augment the matrix that is 0 0 we get minus 1 1 minus 1 minus i the augmented 0 0 after we change r 2 equal to minus i r 1.
01:46
Therefore, we get before we get minus i here is minus i 1 0 0 that is x 1 x 2 equal to 0 0.
02:04
Therefore, minus i x 1 plus x 2 equal to 0 put x 2 equal to t...