If $C=A_5 times 3B$ be such that $textrank left( Aright)=3$, then Cx=0 and Bx=0 are equivalent systems.

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Prove or disprove- If $C=A_5 times 3B$ be such that $textrank left( Aright)=3$, then $Cx=0$ and $Bx=0$ are equivalent systems.



I do not know wether to prove or disprove it. If it is incorrect then can anyone give a counter example.



If it is true then please give a hint.










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  • Hint: Rank of $A$ is 3, so columns of $A$ are linearly independent which means.....
    – Anurag A
    Aug 31 at 5:37










  • @AnuragA still insufficent
    – Rakesh Bhatt
    Aug 31 at 5:44










  • Think what can be said regarding the system $Amathbfx=mathbf0$? Can it have a non-zero solution?
    – Anurag A
    Aug 31 at 5:45















up vote
0
down vote

favorite












Prove or disprove- If $C=A_5 times 3B$ be such that $textrank left( Aright)=3$, then $Cx=0$ and $Bx=0$ are equivalent systems.



I do not know wether to prove or disprove it. If it is incorrect then can anyone give a counter example.



If it is true then please give a hint.










share|cite|improve this question





















  • Hint: Rank of $A$ is 3, so columns of $A$ are linearly independent which means.....
    – Anurag A
    Aug 31 at 5:37










  • @AnuragA still insufficent
    – Rakesh Bhatt
    Aug 31 at 5:44










  • Think what can be said regarding the system $Amathbfx=mathbf0$? Can it have a non-zero solution?
    – Anurag A
    Aug 31 at 5:45













up vote
0
down vote

favorite









up vote
0
down vote

favorite











Prove or disprove- If $C=A_5 times 3B$ be such that $textrank left( Aright)=3$, then $Cx=0$ and $Bx=0$ are equivalent systems.



I do not know wether to prove or disprove it. If it is incorrect then can anyone give a counter example.



If it is true then please give a hint.










share|cite|improve this question













Prove or disprove- If $C=A_5 times 3B$ be such that $textrank left( Aright)=3$, then $Cx=0$ and $Bx=0$ are equivalent systems.



I do not know wether to prove or disprove it. If it is incorrect then can anyone give a counter example.



If it is true then please give a hint.







linear-algebra systems-of-equations






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Aug 31 at 5:22









Rakesh Bhatt

663112




663112











  • Hint: Rank of $A$ is 3, so columns of $A$ are linearly independent which means.....
    – Anurag A
    Aug 31 at 5:37










  • @AnuragA still insufficent
    – Rakesh Bhatt
    Aug 31 at 5:44










  • Think what can be said regarding the system $Amathbfx=mathbf0$? Can it have a non-zero solution?
    – Anurag A
    Aug 31 at 5:45

















  • Hint: Rank of $A$ is 3, so columns of $A$ are linearly independent which means.....
    – Anurag A
    Aug 31 at 5:37










  • @AnuragA still insufficent
    – Rakesh Bhatt
    Aug 31 at 5:44










  • Think what can be said regarding the system $Amathbfx=mathbf0$? Can it have a non-zero solution?
    – Anurag A
    Aug 31 at 5:45
















Hint: Rank of $A$ is 3, so columns of $A$ are linearly independent which means.....
– Anurag A
Aug 31 at 5:37




Hint: Rank of $A$ is 3, so columns of $A$ are linearly independent which means.....
– Anurag A
Aug 31 at 5:37












@AnuragA still insufficent
– Rakesh Bhatt
Aug 31 at 5:44




@AnuragA still insufficent
– Rakesh Bhatt
Aug 31 at 5:44












Think what can be said regarding the system $Amathbfx=mathbf0$? Can it have a non-zero solution?
– Anurag A
Aug 31 at 5:45





Think what can be said regarding the system $Amathbfx=mathbf0$? Can it have a non-zero solution?
– Anurag A
Aug 31 at 5:45
















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