試題詳解

26. Suppose A is a 4x4 real matrix and y,y.y,y, are four lincarly independent vectors in R⁴. If Av₁=v₁+v₂, Av₂=v₂+v₃，Av₃=v₃+v₄, Av₄=v₁+v₄,then how many real eigenvalues does A have?
(A) 0
(B) 1
(C) 2
(D) 3
(E)4