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/CH3/EX3.6/Ex3_6.sce | 26 ++++++++++++++++++++++++++
 1 file changed, 26 insertions(+)
 create mode 100755 3293/CH3/EX3.6/Ex3_6.sce

(limited to '3293/CH3/EX3.6/Ex3_6.sce')

diff --git a/3293/CH3/EX3.6/Ex3_6.sce b/3293/CH3/EX3.6/Ex3_6.sce
new file mode 100755
index 000000000..183c106a2
--- /dev/null
+++ b/3293/CH3/EX3.6/Ex3_6.sce
@@ -0,0 +1,26 @@
+//page 70
+//Example 3.6
+clc;
+clear;
+close;
+a1 = [1 2];
+a2 = [3 4];
+disp(a1,'a1 = ');
+disp(a2,'a2 = ');
+disp('a1 and a2 are linearly independent and hence form a basis for R^2');
+disp('According to theorem 1, there is a linear transformation from R^2 to R^3 with the transformation functions as:');
+Ta1 = [3 2 1];
+Ta2 = [6 5 4];
+disp(Ta1,'Ta1 = ');
+disp(Ta2,'Ta2 = ');
+disp('Now, we find scalars c1 and c2 for that we know T(c1a1 + c2a2) = c1(Ta1) + c2(Ta2))');
+disp('if(1,0) = c1(1,2) + c2(3,4), then ');
+c = inv([a1;a2]') * [1;0];
+c1 = c(1,1);
+c2 = c(2,1);
+disp(c1,'c1 = ');
+disp(c2,'c2 = ');
+disp('The transformation function T(1,0) will be:');
+T = c1*Ta1 + c2*Ta2;
+disp(T,'T(1,0) = ');
+//end
-- 
cgit