Find the eigenvalues and eigenvectors of the following matrix
3 5 3
0 4 6
0 0 1

Question

Find the eigenvalues and eigenvectors of the following matrix
3 5 3
0 4 6
0 0 1

anonymous · Answer

$$C=\left(\begin{array}{ccc}3&5&3\0&4&6\0&0&1\end{array}\right)$$$$\left| C-\lambda I \right|=0$$solve for λ and you will get the eigenvalues

anonymous · Answer

will it be like ?
(3-lambda)            5                    3
0                   (4-lambda)             6
0                           0              (1-lambda)

anonymous · Answer

what do i do after that ?

anonymous · Answer

find the determinant, set it to 0 and solve for lambda

anonymous · Answer

that part is confusing me, could you explain please?

anonymous · Answer

do we have to find the eigen vector for each eigenvalue we get?

anonymous · Answer

you know how to find the determinant of 3 x 3 matrices right ?

anonymous · Answer

yes

anonymous · Answer

yes, you need to find the eigenvectors for each eigenvalue