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anonymous
 3 years ago
find the polynomial in P2 whose coordinate matrix with respect to the basis
anonymous
 3 years ago
find the polynomial in P2 whose coordinate matrix with respect to the basis

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0isdw:1349421000654:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[B=\left\{ x+x ^{2} ,1+x\right\}\] this is the basis

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0is it gonna be B=(0,0,0) ;(0,1,1);(0,1,0) dw:1349421351446:dw dw:1349421421254:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0we need a matrix to make the change between the two basis

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0how to find that matrix

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0well i have some problem here .. how can B be a basis for some R3 if it has only two vectors

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i think the firt vector is zero

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0but still i dont think it is a basis in this case

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i might dont understand the question but B isnt a basis for P2

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0we cant generate for example "1" which is a valid P2

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0here i just showed you that it doesnt span P2

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so i dont know .. i dont understand im sorry

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ok in general how to anser this kind of questions

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you have to find a matrix that converts between the two basis and then you only have to multiply

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0for 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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0im sorry i couldnt help more but i really dont know how

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@Coolsector i din't find the answer ,bul i'll try consult to my lecture
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