Could someone help me figure this out? Must check all that apply

A is an nxn matrix.

Check the true statements below:

A. If for some vector , then is an eigenvector of .
B. If and are linearly independent eigenvectors, then they correspond to distinct eigenvalues.
C. The eigenvalues of a matrix are on its main diagonal.
D. An eigenspace of is just a null space of a certain matrix.
E. A steady-state vector for a stochastic matrix is actually an eigenvector.

Question

Could someone help me figure this out? Must check all that apply

 A is an nxn  matrix. 

Check the true statements below: 

 A. If  for some vector , then  is an eigenvector of . 
 B. If  and  are linearly independent eigenvectors, then they correspond to distinct eigenvalues. 
 C. The eigenvalues of a matrix are on its main diagonal. 
 D. An eigenspace of  is just a null space of a certain matrix. 
 E. A steady-state vector for a stochastic matrix is actually an eigenvector.

anonymous · Answer

You are missing information : " If__  and__  are linearly..."