Dec30-07, 05:26 PM
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 transition-matrix 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"?
|Register to reply|
|Linear algebra question (using braket notation).||Advanced Physics Homework||5|
|linear algebra - solve linear system with complex constants||Calculus & Beyond Homework||2|
|Linear Algebra: Linear Transformation and Linear Independence||Calculus & Beyond Homework||8|
|Simple linear algebra notation queery:||Calculus & Beyond Homework||1|
|LINEAR ALGEBRA - Describe the kernel of a linear transformation GEOMETRICALLY||Calculus & Beyond Homework||6|