If $v_1 = 2v_1-3v_2 + 2v_3$ then ${v_1, v_2, v_3}$ is a linearly dependent amount.
$begingroup$
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
$$v_1 = 2v_1-3v_2 + 2v_3Rightarrow v_1-3v_2+2v_3=0$$ 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?
linear-algebra matrix-equations
edited Dec 13 '18 at 14:14
cansomeonehelpmeout
6,9073935
asked Dec 13 '18 at 14:06
J.AndreassonJ.Andreasson
211
$endgroup$
add a comment |
$begingroup$
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
$$v_1 = 2v_1-3v_2 + 2v_3Rightarrow v_1-3v_2+2v_3=0$$ 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?
linear-algebra matrix-equations
edited Dec 13 '18 at 14:14
cansomeonehelpmeout
6,9073935
asked Dec 13 '18 at 14:06
J.AndreassonJ.Andreasson
211
$endgroup$
$begingroup$
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
add a comment |
$begingroup$
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
$$v_1 = 2v_1-3v_2 + 2v_3Rightarrow v_1-3v_2+2v_3=0$$ 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?
linear-algebra matrix-equations
edited Dec 13 '18 at 14:14
cansomeonehelpmeout
6,9073935
asked Dec 13 '18 at 14:06
J.AndreassonJ.Andreasson
211
$endgroup$
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
$$v_1 = 2v_1-3v_2 + 2v_3Rightarrow v_1-3v_2+2v_3=0$$ 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?
linear-algebra matrix-equations
linear-algebra matrix-equations
edited Dec 13 '18 at 14:14
cansomeonehelpmeout
6,9073935
asked Dec 13 '18 at 14:06
J.AndreassonJ.Andreasson
211
edited Dec 13 '18 at 14:14
cansomeonehelpmeout
6,9073935
asked Dec 13 '18 at 14:06
J.AndreassonJ.Andreasson
211
edited Dec 13 '18 at 14:14
cansomeonehelpmeout
6,9073935
edited Dec 13 '18 at 14:14
cansomeonehelpmeout
6,9073935
edited Dec 13 '18 at 14:14
cansomeonehelpmeout
6,9073935
6,9073935
asked Dec 13 '18 at 14:06
J.AndreassonJ.Andreasson
211
asked Dec 13 '18 at 14:06
J.AndreassonJ.Andreasson
211
asked Dec 13 '18 at 14:06
J.AndreassonJ.Andreasson
211
211
$begingroup$
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
add a comment |
$begingroup$
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
$begingroup$
Yes. the vectors depend each other.
$endgroup$
– hamam_Abdallah
Dec 13 '18 at 14:08
$begingroup$
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
$begingroup$
Thanks for your help
$endgroup$
– J.Andreasson
Dec 13 '18 at 14:12
add a comment |
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$begingroup$
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