Find eigenvectors of matrix:
$A = [0]$

Answer

The eigenvectors and eigenvalues of matrix A are:
Eigenvalue Eigenvector
$0$ $[1]$

Explanation

Step 1 : Find characteristic polynomial $p (λ)$ :

p (λ) = - λ

Step 2 : Find the eigenvalues by solving the characteristic equation $- λ = 0.$

The eigenvalues are

λ_{1} = 0

( click here to view an explanation on how to solve this equation.)

Step 3 : To find the associated eigenvectors ( $x$ ), we have to solve the equation $A x = λ I$ .

For $λ_{0} = 0$ we have $A x = 0 I$ .

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Find eigenvectors of matrix: A=[0​]

The eigenvectors and eigenvalues of matrix A are: Eigenvalue Eigenvector 0 [1​]

Find eigenvectors of matrix:
$A = [0]$

The eigenvectors and eigenvalues of matrix A are:
Eigenvalue Eigenvector
$0$ $[1]$