Basis Excercises
agrabowski
Since there aren't a lot of changing basis exercises, would someone mind posting some examples?
carlintou: May 1, 2015, 8:33 a.m.
Let B = {(1 0), (0 1)} and B' = {(3 1), (-2 1)} be two bases in R^2. The first number of each parentheses is the top row and the second number of each parentheses is the bottom row. The change of base matrix from B' to B is P={3 -2, 1 1} in which 3 and -2 is the top row and 1 and 1 is the bottom row. The vector v in B' is (2 1) where 2 is in the top row and 1 is in the bottom row. Then v in B is then the matrix P multiplied by (2 1), which is (4 3) respectively.
carlintou: May 1, 2015, 9:02 a.m.
https://www.math.hmc.edu/calculus/tutorials/changebasis/changebasis.pdf Try looking at this
agrabowski: May 1, 2015, 12:20 p.m.
Thanks