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/CH1/EX1.16/Ex1_16.sce | 44 ++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 44 insertions(+)
 create mode 100755 3293/CH1/EX1.16/Ex1_16.sce

(limited to '3293/CH1/EX1.16/Ex1_16.sce')

diff --git a/3293/CH1/EX1.16/Ex1_16.sce b/3293/CH1/EX1.16/Ex1_16.sce
new file mode 100755
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--- /dev/null
+++ b/3293/CH1/EX1.16/Ex1_16.sce
@@ -0,0 +1,44 @@
+//page 25
+//Example 1.16
+clear;
+close;
+clc;
+a = [1 1/2 1/3;1/2 1/3 1/4;1/3 1/4 1/5];
+disp(a,'a = ');
+b = eye(3,3);
+disp(b,'b = ');
+disp('Applying row transformations on a and b simultaneously,');
+disp('R2 = R2 - 1/2 * R1 and R3 = R3 - 1/3*R1');
+a(2,:) = a(2,:) - 1/2 * a(1,:);
+a(3,:) = a(3,:) - 1/3 * a(1,:);
+b(2,:) = b(2,:) - 1/2 * b(1,:);
+b(3,:) = b(3,:) - 1/3 * b(1,:);
+disp(a,'a = ');
+disp(b,'b = ');
+disp('R3 = R3 - R2');
+a(3,:) = a(3,:) -  a(2,:);
+b(3,:) = b(3,:) -  b(2,:);
+disp(a,'a = ');
+disp(b,'b = ');
+disp('R2 = R2 * 12 and R3 = R3 * 180');
+a(2,:) = a(2,:) *12;
+a(3,:) = a(3,:) * 180;
+b(2,:) = b(2,:) * 12;
+b(3,:) = b(3,:) * 180;
+disp(a,'a = ');
+disp(b,'b = ');
+disp('R2 = R2 - R3 and R1 = R1 - 1/3*R3');
+a(2,:) = a(2,:) - a(3,:);
+a(1,:) = a(1,:) - 1/3 * a(3,:);
+b(2,:) = b(2,:) - b(3,:);
+b(1,:) = b(1,:) - 1/3 * b(3,:);
+disp(a,'a = ');
+disp(b,'b = ');
+disp('R1 = R1 - 1/2 * R2');
+a(1,:) = a(1,:) -  1/2 * a(2,:);
+b(1,:) = b(1,:) -  1/2 * b(2,:);
+disp(round(a),'a = ');
+disp(b,'b = ');
+disp('Since, a = identity matrix of order 3*3. So, b is inverse of a');
+disp(b,'inverse(a) = ');
+//end
-- 
cgit