
#1
Dec3007, 04:26 PM

P: 1,863

1. The problem statement, all variables and given/known data
I have a basis T and the elementary basis E in R^3 spanned by [e_1, e_2, e_3]. I am asked to find the matrix with respect to T and E. 1) Are they asking me to find the transitionmatrix from T to E? If yes, then this is just the vectors that span T. 2) Or are they asking me to express T in terms of E, as in take L(T_1), L(T_2) and L(T_3) (L is my linear transformation) and express the result in terms of E  this result containts the columns for my matrix? I am a little confused about this. I thought I could use B = U^(1) * A * U, but apparently not? I guess what I'm asking is  what is the difference between "the matrix with respect to the bases T and E" and "the transition matrix from T to E"? 


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