- #1
fattycakez
- 21
- 0
Homework Statement
Consider the bases B = {b1,b2} and B' = {b'1,b'2} for R2, where
b1=(1, -1), b2=(2,0), and b'1=(1,2), b'2=(1,-3)
a. Find the transition matrix P from B to B'
b. Compute the coordinate matrix [p]B, where p=(4,3); then use the transition matrix P to compute [p]B'
Homework Equations
The Attempt at a Solution
a. I found the transition matrix P to be
2/5 6/5
3/5 4/5
b. I found [p]B to be (-3, 7/2)
and then I found [p]B' to be (3,1)
Does this look correct? I am tripping out because this seems like something we covered in class months ago but this problem was just assigned this week. Am I missing something? Would the problem be different if B' represented an orthogonal basis? Any help is appreciated :)