00:01
So let's say we have matrix a that is equal to 0, 3, minus of 1 and 4.
00:08
And we need to find eigenvalue.
00:10
So we need to write the characteristic equation.
00:13
A minus lambda i determinant of these term is equal to 0.
00:17
Where i is identity matrix.
00:19
So it become 0 minus lambda.
00:22
Here is 3 minus 1, 4 minus lambda is equal to 0.
00:27
So from equation become that is minus 4 lambda plus lambda square plus 3 is equal to 0.
00:37
So after factorization of these term it become lambda minus 3 and here is lambda minus 1 is equal to 0.
00:46
So from here lambda is equal to 1, 3.
00:52
Now we need to write the eigenvector which is we need to when lambda is equal to 1.
00:59
These are our eigenvalue.
01:01
So we need to find eigenvector.
01:03
So it become when lambda is equal to 1 it become minus 1, 3 and here is minus 1.
01:10
And multiply with x1, x2 and that is equal to 0...