00:04
We are given with the matrix 1 5 1 minus 3.
00:12
We have to calculate its eigenvalue and eigenvectors.
00:16
For this, call this matrix as a.
00:18
If we observe that the sum of the elements of column is 2 here and sum of elements of column is 2 also here.
00:27
That means one of the eigenvalue is 2 by the property.
00:30
Now, for the second eigenvalue, we will use the property that sum of eigenvalues will be equal to the trace.
00:37
Trace is the sum of diagonal elements.
00:40
We get here negative 2.
00:41
Lambda 1 is 2.
00:43
We get from here lambda 2 will be negative 4.
00:48
We have calculated eigenvalues.
00:50
Now we will move to calculate eigenvectors.
00:53
For eigenvector, just calculate this matrix.
00:56
A minus lambda 1 into identity into b is equal to 0.
01:03
Here lambda 1 is 2...