正交向量组是线性无关的向量组

A．(1,2)，(-3,0)，(5,1). B．(1,1,0)，(0,0,3)，（2,2,0). C．(2,6,0)，(3,9,0)，（0,0,2). D．(1,1,0)，(0,2,0)，(0,0,3).

没向量组(I)：a1，a2，…，an(Ⅱ)：a1，a2，…，an-1则必有()． A．向量组(Ⅱ)线性无关则向量组(I)线性尤关 B．向量组(I)线性相关则向量组(Ⅱ)线性相关 C．秩(I)=秩(Ⅱ)，则向量组(I)线性相关 D．秩(I)=秩(Ⅱ)，则向量组(Ⅱ)线性无关

是 否

已知向量组<img src='https://img2.soutiyun.com/ask/2020-08-14/966262269756101.png' />线性无关，则向量组(). A.<img src='https://img2.soutiyun.com/ask/2020-08-14/9662622959716.png' />线性无关 B.<img src='https://img2.soutiyun.com/ask/2020-08-14/966262306211186.png' />线性无关 C.<img src='https://img2.soutiyun.com/ask/2020-08-14/966262314274647.png' />线性无关 D.<img src='https://img2.soutiyun.com/ask/2020-08-14/966262323047149.png' />线性无关

已知向量组<img src='https://img2.soutiyun.com/ask/2021-03-04/983724832993508.png' /> 则下列向量组中不是向量组<img src='https://img2.soutiyun.com/ask/2021-03-04/983724841928018.png' />的极大线性无关组的是()。 A.<img src='https://img2.soutiyun.com/ask/2021-03-04/983724858335957.png' /> B.<img src='https://img2.soutiyun.com/ask/2021-03-04/983724864733323.png' /> C.<img src='https://img2.soutiyun.com/ask/2021-03-04/98372486976161.png' /> D.<img src='https://img2.soutiyun.com/ask/2021-03-04/983724875675949.png' />

是 否

A．α1，α2，α1+α2 B．α1一α2，α2一α3，α2一α3 C．α1，α2，2α1一3α2 D．α2，2α3，2α2+α3

设向量组<img src='https://img2.soutiyun.com/ask/2020-08-14/966264529210334.png' />线性无关,<img src='https://img2.soutiyun.com/ask/2020-08-14/966264538560869.png' />证明向量组<img src='https://img2.soutiyun.com/ask/2020-08-14/966264553639732.png' />也线性无关.

<img src='https://img2.soutiyun.com/ask/2020-07-31/965055991782328.png' />

<img src='https://img2.soutiyun.com/ask/2020-09-27/970070592912053.png' /> <img src='https://img2.soutiyun.com/ask/2020-09-27/970070604440713.png' />