4
$\begingroup$

Statement: If $v_1 = 2v_1-3v_2 + 2v_3$ then $\{v_1, v_2, v_3\}$ is a linearly dependent amount.

My question: Is this statement true or not?

My answer: I guess it is linearly dependent amount due to that

$$v_1 = 2v_1-3v_2 + 2v_3\Rightarrow v_1-3v_2+2v_3=0$$ which is linearly dependent if $c_1v_1 +c_2v_2 +\ldots+c_pv_p =0$ if $c_i$ isn't equal to zero.

Am I thinking correct?

$\endgroup$
  • $\begingroup$ Yes. the vectors depend each other. $\endgroup$ – hamam_Abdallah Dec 13 '18 at 14:08
  • $\begingroup$ Thanks for your help $\endgroup$ – J.Andreasson Dec 13 '18 at 14:12

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.