Eigenvalues - Linear algebra If $c$ is eigenvalue for matrix B.
How can I prove than $c^k$ is eigenvalue for matrix $B^k$?
am not sure what I should try here...will appreciate your help

Induction...?
$$B(v)=cv\Longrightarrow B^k(v)=B(B^{k-1}v)\stackrel{\text{Ind. hypothesis}}=B(c^{k-1}v)=c^{k-1}Bv=c^{k-1}cv=c^kv$$
