- #1
Punkyc7
- 420
- 0
Find the change of coordinate matrix from[tex]\gamma[/tex] coordinates to [tex]\beta[/tex] coordinate where [tex]\beta[/tex] is the standard basis for P2(R) and
[tex]\gamma[/tex]={ 1+t^2, t-t^2, 1-2t +t^2}
Since i can't figure out how to type matrices i will explain what I did. I made a 3 by 3 matrix and put the [tex]\beta[/tex] basis on the top of the matrix and the [tex]\gamma[/tex] basis on the row side. The I got the matrix
101
01-1
1-21
Im wondering if this is right or if I put the bases on the wrong part of the matrix because I can never remember where they go.
[tex]\gamma[/tex]={ 1+t^2, t-t^2, 1-2t +t^2}
Since i can't figure out how to type matrices i will explain what I did. I made a 3 by 3 matrix and put the [tex]\beta[/tex] basis on the top of the matrix and the [tex]\gamma[/tex] basis on the row side. The I got the matrix
101
01-1
1-21
Im wondering if this is right or if I put the bases on the wrong part of the matrix because I can never remember where they go.