※ 引述《kingstong (卍解-天鎖斬月)》之銘言:
: (a) determine whether the vectors
: V1=(1,2,2,-1) , V2=(4,9,9,-4),V3=(5,8,9,-5)
: are linearly independent.please justify your answer.
: (b) Calculate the scalar triple product u˙(v*w) of the vectors
: u=(5,1,0) , v=(6,2,0) , w=(4,2,2).
: 請高手不吝賜教,不勝感激.
(a) 用reduced row echlon form
寫成3x4矩陣做列運算,把前面幾項都弄成0,就會發現。rank =3 所以是 linear indep
(b) 8
v x w =(4,-12,4) 在跟u內積 =20-12=8.
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