From 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 Mon Sep 17 00:00:00 2001
From: prashantsinalkar
Date: Tue, 10 Oct 2017 12:27:19 +0530
Subject: initial commit / add all books

---
 3293/CH9/EX9.1/Ex9_1.sce | 20 ++++++++++++++++++++
 1 file changed, 20 insertions(+)
 create mode 100644 3293/CH9/EX9.1/Ex9_1.sce

(limited to '3293/CH9/EX9.1/Ex9_1.sce')

diff --git a/3293/CH9/EX9.1/Ex9_1.sce b/3293/CH9/EX9.1/Ex9_1.sce
new file mode 100644
index 000000000..6191d582d
--- /dev/null
+++ b/3293/CH9/EX9.1/Ex9_1.sce
@@ -0,0 +1,20 @@
+//page 352
+//Example 9.1
+clc;
+clear;
+close;
+disp('A = ');
+disp('r    *     |cos(thetha)       -sin(thetha)|');
+disp('           |sin(thetha         cos(thetha)|');
+disp('Characteristic polynomial for T:');
+disp('p = det(xI - A)');
+disp('p = x - 2*r*cos(thetha*x) + r^2 ');
+disp('if, a = r*cos(thetha)');
+disp('b = r*sin(thetha)');
+disp('c = a + ib,   b is not equal to 0');
+disp('Then, A = ');
+disp('a     -b');
+disp('b      a');
+disp('p = (x-c)(x-c'')');
+disp('So, p is reducible over R and it is the minimal polynomial');
+//end
-- 
cgit