Question

Need help in Linear Algebra.

Answer 1

I don't know where to begin solving the for k, can anyone guide me please?

Answer 2

I know that I have to (xI-A)X=0
I: Identity Matric
x: 3
A= matrix
X=Eigenvector

Answer 3

Start with \(\det(A-3I)=0\)

Answer 4

does \[\det(A-3I)=\det(3I-A) \]?

Answer 5

The \(\det(3I-A)=-\det(A-3I)\) for square matrix of odd size and \(\det(3I-A)=\det(A-3I)\) for square matrix of even size.

Answer 6

Since you know \(\det(3I-A)=0\) it doesn't matter.

Answer 7

ok