[線代] 展延問題
For the fout vsctors below, which of the following statement is ture?
|3| |8| |1| |2|
|2| , |0| , |2| , |1|
|0| |6| |3| |6|
1.They are linearly independent
2.They span R^3
3.They are linearly dependent
4.They do not span R^3
5.none of the above
我的想法是
把這四個向量化成矩陣
3 8 1 2
2 0 2 1
0 6 3 6
高斯消去可以得到三個領導元素
所以是這四個向量是相依
然後因為
dimension=3
所以是span R^3
但是又想說他是四個向量
感覺又不是span R^3
請大家為我解惑<(_ _)>
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