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Question Number 88473 by M±th+et£s last updated on 10/Apr/20

Commented by kaivan.ahmadi last updated on 11/Apr/20

av_1 +b(v_1 +v_2 )+c(v_1 +v_2 +v_3 )=0⇒ (a+b+c)v_1 +(b+c)v_2 +cv_3 =0⇒ c=0 b+c=0⇒b=0 a+b+c=0⇒a=0 ⇒these vectors are linearly indepwndent.

av1+b(v1+v2)+c(v1+v2+v3)=0⇒(a+b+c)v1+(b+c)v2+cv3=0⇒c=0b+c=0⇒b=0a+b+c=0⇒a=0⇒thesevectorsarelinearlyindepwndent.

Commented by M±th+et£s last updated on 11/Apr/20

thank you sir

thankyousir

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