4.设α、β为三维列向量,矩阵 =alpha (alpha )^T+(beta beta )^T, 证明:-|||-(1) (A)leqslant 2-|||-(2)若α、β线性相关,则 (A)lt 2

两个 n 维列向量组 S=alpha_1, alpha_2, ..., alpha_s，T=beta_1, beta_2, ..., beta_t，其中 S 是

设 alpha (alpha )_(1),(alpha )_(2),(alpha )_(3),(beta )_(1),(beta )_(2) 均为四维列向量矩阵

7.设alpha_(1),alpha_(2),alpha_(3),beta_(1),beta_(2)均为4维列向量，矩阵A=(alpha_(1),alpha_(

设alpha_(1),alpha_(2),alpha_(3),alpha_(4)线性无关，且alpha_(1),alpha_(2),alpha_(3),alph

设alpha_(1),alpha_(2),alpha_(3),alpha_(4)线性无关，且alpha_(1),alpha_(2),alpha_(3),alph

5.设矩阵 =a(a)^T+b(b)^T, 这里a,b为n维列向量,证明:-|||-(1) (A)leqslant 2.-|||-(2)当a,b线性相关时, (

设向量组 alpha_1=(6,lambda+1,4)^T, alpha_2=(lambda,2,2)^T, alpha_3=(lambda,1,0)^T 线性

已知向量组 alpha_1 = (t, 2, 1)^T, alpha_2 = (2, t, 0)^T, alpha_3 = (1, -1, 1)^T 线性相关，

4.设向量组beta_(1)=alpha_(1)+2alpha_(2)-alpha_(3),beta_(2)=alpha_(1)+2alpha_(2)+2alp

设 P 为正交矩阵，向量 alpha, beta 的内积为 (alpha, beta)= 2，则 (Palpha, Pbeta)= (A. $\frac{1}{