简答题:设λ₁，λ₂是方阵A的特征值，λ₁≠λ₂，η₁，…，η_r是A的对应于λ₁的线性无关的特征向量，ε₁，…，ε_s是A的对应于λ₂的线性无关的特征向量，证明η₁，…，η_r，ε₁，…，ε_s线性无关．

A 2 B -2 C 4 D -4

A r(A-E)=0 B r(A+E)=0 C r(A)=n D r(A)<n

A α₁，α₂，α₃ B α₁，α₂，α₄，α₅ C α₁，α₂，α₄ D α₁，α₂，α₅

A <img src="https://www.beizhujiaoyu.com/uploads/202208/164722289181411.png" width="72" height="75" /> B <img src="https://www.beizhujiaoyu.com/uploads/202208/164722289694091.png" width="90" height="47" /> C <img src="https://www.beizhujiaoyu.com/uploads/202208/164722290059151.png" width="73" height="74" /> D <img src="https://www.beizhujiaoyu.com/uploads/202208/164722290514321.png" width="90" height="47" />

A k<0或k>0 B -2<k<0或0<k<2 C -2<k<2 D k<-2或k>-2<p>