线性代数题?
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k1.α1+k2.α2+k3.α3=0 2k1+k2+3k3=0 (1) -k1+4k2-6k3=0 (2) 7k1+11k2+3k3=0 (3) 3k1-2k2+8k3=0 (4) consider (1) , (2), (3) (3)-(1) 5k1+10k2 =0 (5) 2(3)+(2) 13k1+26k2=0 (6) from (5) and (6) k1=k2 =0 from (3) k3=0 from (1) and (2) and (3) k1=k2=k3=0 满足 (4) ie k1.α1+k2.α2+k3.α3=0 =>k1=k2=k3=0 α1,α2,α3 线性无关
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