Answer:
See explanation below.
Step-by-step explanation:
True by definition of eigenvector. If y is an eigenvector of the matrix A, then we need to satisfy this condition:
[tex] Ay= ky[/tex]
For some eigenvalue k.
The definition is the following:
"Any non zero vector x that satisfies [tex] Ax = \lambda x[/tex] for some value [tex]\lambda[/tex] is called an eigenvector of the linear operator A, and [tex]\lambda[/tex] is called the corresponding eigenvalue"
