00:01
We are given here the matrix as b is equals to here 6, minus 5, 5 and minus 2.
00:08
Okay, we need to determine the eigenvalues.
00:11
So, for eigenvalues, we can write here for eigenvalues obviously mod of b minus lambda times i have to be equal to 0.
00:22
It means mod of it will be 6 minus lambda minus 5, 5 and minus 2 minus lambda will be equal to 0.
00:29
So, we can just say that here 6 minus lambda times minus 2 minus lambda minus minus 5 times 5 is equals to 0.
00:38
So, it will be like 6 sorry we can write it as minus of when we take minus is common.
00:45
So, my lambda plus 2 times here if we take again minus is common we will get it as lambda minus 6 then minus minus plus 25 is equals to 0.
00:55
So, lambda is square plus 2 lambda then minus 6 lambda minus 12 plus 25 is equal to 0.
01:04
It means that lambda square minus 4 lambda and then plus 13 then it becomes equivalent to 0...