Find Eigenvalues and Eigenvectors of 2 by 2 Matrix

Find real and distinct eigenvalues of a real matrix. The corresponding eigenvalues are computed as well.

[pascalvanbeek]

First of all: Thanks for all the great videos, really helping me out a lot!

Secondly: Are you sure about the second case with lambda = -6? Multiplying the first row with -1/3 and adding it to the second row would result in [0 8], not [0 0]. If you would do the same as in the first example (swapping, multiplying by -1, substracting first 3 times from second), you would end up with [1 -4; 0 0], with v2 = s, v1 - 4v2 = 0, v1 = 4v2, v1 = 4s, resulting in vector [4 1]s.

Cheers!