Graphs of continuous functions denote subspace

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The set of all continuous functions form a vector space but I am not being able to proceed from here




linear-algebra




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  • 1




    If you know $f$ at the points $k over 3$ for $k=0,1,2,3$ then you know all of $f$. Find an invertible linear map $M:mathbbR^4 to S$. Take a wild guess at the dimension.
    – copper.hat
    Jul 31 at 4:07











  • Can it be not done without using linear transformation or linear mapping
    – Shrimon Mukherjee
    Jul 31 at 4:09










  • The above will allow you to proceed which you were not able to do a moment ago.
    – copper.hat
    Jul 31 at 4:12














up vote
0
down vote

favorite












enter image description here



The set of all continuous functions form a vector space but I am not being able to proceed from here




linear-algebra




share|cite|improve this question















  • 1




    If you know $f$ at the points $k over 3$ for $k=0,1,2,3$ then you know all of $f$. Find an invertible linear map $M:mathbbR^4 to S$. Take a wild guess at the dimension.
    – copper.hat
    Jul 31 at 4:07











  • Can it be not done without using linear transformation or linear mapping
    – Shrimon Mukherjee
    Jul 31 at 4:09










  • The above will allow you to proceed which you were not able to do a moment ago.
    – copper.hat
    Jul 31 at 4:12












up vote
0
down vote

favorite









up vote
0
down vote

favorite











enter image description here



The set of all continuous functions form a vector space but I am not being able to proceed from here




linear-algebra




share|cite|improve this question











enter image description here



The set of all continuous functions form a vector space but I am not being able to proceed from here





linear-algebra





share|cite|improve this question










share|cite|improve this question




share|cite|improve this question









asked Jul 31 at 4:03









Shrimon Mukherjee

155




155







  • 1




    If you know $f$ at the points $k over 3$ for $k=0,1,2,3$ then you know all of $f$. Find an invertible linear map $M:mathbbR^4 to S$. Take a wild guess at the dimension.
    – copper.hat
    Jul 31 at 4:07











  • Can it be not done without using linear transformation or linear mapping
    – Shrimon Mukherjee
    Jul 31 at 4:09










  • The above will allow you to proceed which you were not able to do a moment ago.
    – copper.hat
    Jul 31 at 4:12












  • 1




    If you know $f$ at the points $k over 3$ for $k=0,1,2,3$ then you know all of $f$. Find an invertible linear map $M:mathbbR^4 to S$. Take a wild guess at the dimension.
    – copper.hat
    Jul 31 at 4:07











  • Can it be not done without using linear transformation or linear mapping
    – Shrimon Mukherjee
    Jul 31 at 4:09










  • The above will allow you to proceed which you were not able to do a moment ago.
    – copper.hat
    Jul 31 at 4:12







1




1




If you know $f$ at the points $k over 3$ for $k=0,1,2,3$ then you know all of $f$. Find an invertible linear map $M:mathbbR^4 to S$. Take a wild guess at the dimension.
– copper.hat
Jul 31 at 4:07





If you know $f$ at the points $k over 3$ for $k=0,1,2,3$ then you know all of $f$. Find an invertible linear map $M:mathbbR^4 to S$. Take a wild guess at the dimension.
– copper.hat
Jul 31 at 4:07













Can it be not done without using linear transformation or linear mapping
– Shrimon Mukherjee
Jul 31 at 4:09




Can it be not done without using linear transformation or linear mapping
– Shrimon Mukherjee
Jul 31 at 4:09












The above will allow you to proceed which you were not able to do a moment ago.
– copper.hat
Jul 31 at 4:12




The above will allow you to proceed which you were not able to do a moment ago.
– copper.hat
Jul 31 at 4:12















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