00:01
Now, solution of this question.
00:03
Solve of a minus lambda i is equal to 0.
00:06
So, this is equal to 1 minus lambda 2 1 0 1 minus lambda 0 4 0 1 minus lambda.
00:15
Now, solve this.
00:16
This is equal to 1 minus lambda 1 minus lambda square minus 0 plus 1 minus 1 minus lambda divided by 1 minus 1 minus 1 minus lambda.
00:33
So, this is equal to 0.
00:35
So, here lambda is equal to minus 1 1 and 3.
00:42
So, this is written as minus lambda cube plus 3 lambda square plus lambda minus 3 is equal to 0.
00:50
So, eigenvalues is minus 1 1 3.
00:54
Now, eigenvectors corresponding to lambda 3.
00:57
So, a minus 3 i x is equal to 0.
01:02
So, this is equal to minus 2 2 1 0 minus 2 0 and 4 0 minus 2 a b c.
01:14
A b c is equal to 0 0 0...