2.设向量组_(1)=((1+a,1,1,1))^T, (alpha )_(2)=((2,2+a,2,2))^T,_(1)=((1+a,1,1,1))^T, (alpha )_(2)=((2,2+a,2,2))^T,问:何时它们线性相关?当线性相关时,求一个极大无关组,并把其余向量用该极大无关组线性表示

2.设向量组

问:何时它们线性相关?当线性相关时,求一个极大无关组,并把其余向量用该极大无关组线性表示

参考答案与解析:

相关试题

5、设有向量组 (alpha )_(1)=((1,1,2,3))^T , (alpha )_(2)=((1,-1,1,1))^T , (alpha )_(3)=((1,3,3,5))^T , (alp

5、设有向量组 (alpha )_(1)=((1,1,2,3))^T , (alpha )_(2)=((1,-1,1,1))^T , (alpha )_(3)=

  • 查看答案
  • 若向量组(alpha )_(1)=((1,1,1))^T (alpha )_(2)=((0,1,1))^T (alpha )_(3)=((0,0,1))^T能由向量组(alpha )_(1)=((1,

    若向量组(alpha )_(1)=((1,1,1))^T (alpha )_(2)=((0,1,1))^T (alpha )_(3)=((0,0,1))^T能由

  • 查看答案
  • 设向量(alpha )_(1)=((1,1,-1))^T (alpha )_(2)=((0,2,1))^T,(alpha )_(1)=((1,1,-1))^T (alpha )_(2)=((0,2,1

    设向量(alpha )_(1)=((1,1,-1))^T (alpha )_(2)=((0,2,1))^T,(alpha )_(1)=((1,1,-1))^T

  • 查看答案
  • 已知向量(alpha )_(1)=((1,2,1))^T, (alpha )_(2)=((2,3,a))^T, =((1,a+2,-2))^T,(alpha )_(1)=((1,2,1))^T, (a

    已知向量(alpha )_(1)=((1,2,1))^T, (alpha )_(2)=((2,3,a))^T, =((1,a+2,-2))^T,(alpha )

  • 查看答案
  • 2.求向量组: (alpha )_(1)=((1,1,3,1))^T (alpha )_(2)=((-1,1,-1,3))^T, (alpha )_(3)=((5,-2,8,-9))^T,-|||-(

    2.求向量组: (alpha )_(1)=((1,1,3,1))^T (alpha )_(2)=((-1,1,-1,3))^T, (alpha )_(3)=((

  • 查看答案
  • 设向量组 _(1)=((1,2,3,3))^T, (alpha )_(2)=((1,-1,2,1))^T (alpha )_(3)=((1,1,0,1))^T, (alpha )_(4)=((1,3,

    设向量组 _(1)=((1,2,3,3))^T, (alpha )_(2)=((1,-1,2,1))^T (alpha )_(3)=((1,1,0,1))^T,

  • 查看答案
  • 设向量组 alpha_1=(6,lambda+1,4)^T, alpha_2=(lambda,2,2)^T, alpha_3=(lambda,1,0)^T 线性相关,则( )

    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

  • 查看答案
  • 设向量组 (alpha )_(1)=((0,1,1))^T, (alpha )_(2)=((1,0,1))^T (alpha )_(3)=((2,1,0))^T (alpha )_(4)=((1,1,

    设向量组 (alpha )_(1)=((0,1,1))^T, (alpha )_(2)=((1,0,1))^T (alpha )_(3)=((2,1,0))^T

  • 查看答案
  • 设向量组 alpha_1 = (1,1,1), alpha_2 = (0,1,2), alpha_3 = (1,0,-1),那么该向量组的秩为:

    设向量组 alpha_1 = (1,1,1), alpha_2 = (0,1,2), alpha_3 = (1,0,-1),那么该向量组的秩为:A. 3B

  • 查看答案
  • 设向量组 alpha_1 = (1,1,1), alpha_2 = (0,1,2), alpha_3 = (1,0,-1),那么该向量组的秩为:

    设向量组 alpha_1 = (1,1,1), alpha_2 = (0,1,2), alpha_3 = (1,0,-1),那么该向量组的秩为:A. 2B

  • 查看答案