From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001
From: priyanka
Date: Wed, 24 Jun 2015 15:03:17 +0530
Subject: initial commit / add all books

---
 3293/CH7/EX7.3/Ex7_3.sce | 29 +++++++++++++++++++++++++++++
 1 file changed, 29 insertions(+)
 create mode 100755 3293/CH7/EX7.3/Ex7_3.sce

(limited to '3293/CH7/EX7.3/Ex7_3.sce')

diff --git a/3293/CH7/EX7.3/Ex7_3.sce b/3293/CH7/EX7.3/Ex7_3.sce
new file mode 100755
index 000000000..1ca1be392
--- /dev/null
+++ b/3293/CH7/EX7.3/Ex7_3.sce
@@ -0,0 +1,29 @@
+//page 239
+//Example 7.3
+clc;
+clear;
+close;
+A = [5 -6 -6;-1 4 2;3 -6 -4];
+disp(A,'A = ');
+f = poly(A,"x");
+disp('Characteristic polynomial for linear operator T on R^3 will be:');
+disp(f,'f = ');
+disp('or');
+disp('(x-1)(x-2)^2');
+x = poly(0,"x");
+disp('The minimal polynomial for T is:');
+p = (x-1)*(x-2);
+disp(p,'p = ');
+disp('or');
+disp('p = (x-1)(x-2)');
+disp('So in cyclic decomposition of T, a1 will have p as its T-annihilator.');
+disp('Another vector a2 that generate cyclic subspace of dimension 1 will have its T-annihilator as p2.');
+p2 = x-2;
+disp(p2,'p2 = ');
+disp(p*p2,'pp2 = ');
+disp('i.e., pp2 = f');
+disp('Therefore, A is similar to B');
+B = [0 -2 0;1 3 0;0 0 2];
+disp(B,'B = ');
+disp('Thus, we can see thet Matrix of T in ordered basis is B');
+//end
-- 
cgit