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REMAINDER Group Title

find the polynomial in P2 whose coordinate matrix with respect to the basis

  • one year ago
  • one year ago

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  1. REMAINDER Group Title
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    is|dw:1349421000654:dw|

    • one year ago
  2. REMAINDER Group Title
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    \[B=\left\{ x+x ^{2} ,1+x\right\}\] this is the basis

    • one year ago
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    is it gonna be B=(0,0,0) ;(0,1,1);(0,1,0) |dw:1349421351446:dw| |dw:1349421421254:dw|

    • one year ago
  4. Coolsector Group Title
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    we need a matrix to make the change between the two basis

    • one year ago
  5. REMAINDER Group Title
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    how to find that matrix

    • one year ago
  6. Coolsector Group Title
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    well i have some problem here .. how can B be a basis for some R3 if it has only two vectors

    • one year ago
  7. REMAINDER Group Title
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    i think the firt vector is zero

    • one year ago
  8. Coolsector Group Title
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    it's given ?

    • one year ago
  9. Coolsector Group Title
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    but still i dont think it is a basis in this case

    • one year ago
  10. REMAINDER Group Title
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    no

    • one year ago
  11. Coolsector Group Title
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    i might dont understand the question but B isnt a basis for P2

    • one year ago
  12. Coolsector Group Title
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    we cant generate for example "1" which is a valid P2

    • one year ago
  13. REMAINDER Group Title
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    yes it is

    • one year ago
  14. Coolsector Group Title
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    how come ?

    • one year ago
  15. Coolsector Group Title
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    here i just showed you that it doesnt span P2

    • one year ago
  16. REMAINDER Group Title
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    we have been told

    • one year ago
  17. Coolsector Group Title
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    so i dont know .. i dont understand im sorry

    • one year ago
  18. REMAINDER Group Title
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    ok in general how to anser this kind of questions

    • one year ago
  19. Coolsector Group Title
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    you have to find a matrix that converts between the two basis and then you only have to multiply

    • one year ago
  20. REMAINDER Group Title
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    eg like wat i did

    • one year ago
  21. Coolsector Group Title
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    for example moving from S = { (1,2) , (3,5) } basis into the standard R2 basis the matrix is 1 3 2 5 now if you multiply this matrix with S vectors you get them in the standard R2 basis

    • one year ago
  22. Coolsector Group Title
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    im sorry i couldnt help more but i really dont know how

    • one year ago
  23. REMAINDER Group Title
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    ok thnx

    • one year ago
  24. SWAG Group Title
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    hmm

    • one year ago
  25. REMAINDER Group Title
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    @Coolsector i din't find the answer ,bul i'll try consult to my lecture

    • one year ago
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