Math 217: Summary of Change of Basis and All That

www.math.lsa.umich.edu

2 of polynomials of degree 2 consists of all expressions of the form a+bx+cx2. Here, the choice of the basis f1;x;x2ggives an isomorphism identifying P 2 with R3: P 2!R3 a+bx+cx2 7! 2 4 a b c 3 5: The formal mathematical statement is that the mapping V !Rn ~x7![~x] B is an isomorphism of vector spaces.2 This is deeper than just matching up the ...

  Change, Summary, Math, Basis, Math 127, Summary of change of basis