# HG changeset patch # User Rob Beezer # Date 1354512791 28800 # Node ID 82ca57bd24aa8ba7a415fa8d33e9f1f0380b3fd2 # Parent f461d49621f52b2b37ccaf4faffd64f880669bb0 Sage CELT, needed symbolic variables (Tyler Ueltschi) diff --git a/changes.txt b/changes.txt --- a/changes.txt +++ b/changes.txt @@ -68,6 +68,7 @@ Typo: Implication arrow in wrong direction, Theorem IMR (Dan Messenger) Typo: Example LIC, second sentence, in/dependence (Aidan Meacham) Typo: Solution B.T50, missing implication arrows +Typo: Sage CELT, needed symbolic variables (Tyler Ueltschi) MAJOR SOURCE FORMAT CHANGE ~~~~~~~~~~~~~~~~~~~~~~~~~~ diff --git a/src/section-CB.xml b/src/section-CB.xml --- a/src/section-CB.xml +++ b/src/section-CB.xml @@ -2016,7 +2016,8 @@ Designing Matrix Representations How do we find the eigenvectors of a linear transformation? How do we find pleasing (or computationally simple) matrix representations of linear transformations. and applied in the context of can answer both questions. Here is an example. -outputs = [ 9*x1 - 15*x2 - 7*x3 + 15*x4 - 36*x5 - 53*x6, +x1, x2, x3, x4, x5, x6 = var('x1, x2, x3, x4,x5,x6') +outputs = [ 9*x1 - 15*x2 - 7*x3 + 15*x4 - 36*x5 - 53*x6, 24*x1 - 20*x2 - 9*x3 + 18*x4 - 24*x5 - 78*x6, 8*x1 - 6*x2 - 3*x3 + 6*x4 - 6*x5 - 26*x6, -12*x1 - 9*x2 - 3*x3 + 13*x4 - 54*x5 - 24*x6,