对于向量组alpha_1,alpha_2,ldots,alpha_m,若0alpha_1+0alpha_2+ldots+0alpha_m=0,则该向量组()。

A. 不一定线性无关;

B. 线性无关;

C. 是一组非零向量;

D. 线性相关;

参考答案与解析:

相关试题

已知向量组alpha_1, alpha_2, alpha_3, ldots线性无关,则A 向量组alpha_1, alpha_1 - alpha_2, alpha_1 - alpha_2 - alph

已知向量组alpha_1, alpha_2, alpha_3, ldots线性无关,则A 向量组alpha_1, alpha_1 - alpha_2, alph

  • 查看答案
  • 已知向量组 alpha_1, alpha_2, ..., alpha_m 线性相关,则()

    已知向量组 alpha_1, alpha_2, ..., alpha_m 线性相关,则()A. 该向量组的秩小于 $m$;B. 该向量组的任何部分组必线性相关.

  • 查看答案
  • 设有向量组 alpha_1, alpha_2, ldots, alpha_m,若对于任意一组不全为零的实数 k_1, k_2, ldots, k_m,都有 k_1alpha_1 + k_2alpha_

    设有向量组 alpha_1, alpha_2, ldots, alpha_m,若对于任意一组不全为零的实数 k_1, k_2, ldots, k_m,都有 k_

  • 查看答案
  • 已知向量组alpha_1, alpha_2, alpha_3线性无关,则A 向量组alpha_1 - alpha_2, alpha_2 - alpha_3, alpha_1 - alpha_3线性相关

    已知向量组alpha_1, alpha_2, alpha_3线性无关,则A 向量组alpha_1 - alpha_2, alpha_2 - alpha_3, a

  • 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
  • 设向量组 alpha_1, alpha_2, alpha_3线性无关,判断向量组 beta_1 = alpha_1 + alpha_2、beta_2 = alpha_2 + alpha_3、b

    设向量组 alpha_1, alpha_2, alpha_3线性无关,判断向量组 beta_1 = alpha_1 + alpha_2、beta_2 =

  • 查看答案
  • 设向量组 alpha_1, alpha_2, alpha_3, alpha_4, alpha_5秩为 3,且满足 alpha_1 + alpha_3 - alpha_5 = 0,alpha_2

    设向量组 alpha_1, alpha_2, alpha_3, alpha_4, alpha_5秩为 3,且满足 alpha_1 + alpha_3 - a

  • 查看答案
  • 向量组 alpha_2, alpha_4, alpha_5 线性无关,则整体向量组 alpha_1, alpha_2, alpha_3, alpha_4, alpha_5 ().

    向量组 alpha_2, alpha_4, alpha_5 线性无关,则整体向量组 alpha_1, alpha_2, alpha_3, alpha_4, al

  • 查看答案
  • 设向量组 alpha_1, alpha_2, alpha_3, alpha_4,其中 alpha_1, alpha_2, alpha_3 线性无关,则必有()

    设向量组 alpha_1, alpha_2, alpha_3, alpha_4,其中 alpha_1, alpha_2, alpha_3 线性无关,则必有()A

  • 查看答案