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/CH2/EX2.13/Ex2_13.sce | 22 ++++++++++++++++++++++
 1 file changed, 22 insertions(+)
 create mode 100755 3293/CH2/EX2.13/Ex2_13.sce

(limited to '3293/CH2/EX2.13')

diff --git a/3293/CH2/EX2.13/Ex2_13.sce b/3293/CH2/EX2.13/Ex2_13.sce
new file mode 100755
index 000000000..3c6f96e6b
--- /dev/null
+++ b/3293/CH2/EX2.13/Ex2_13.sce
@@ -0,0 +1,22 @@
+//page 41
+//Example 2.13
+clear;
+clc;
+close;
+disp('S is the subset of F^n consisting of n vectors.');
+n = round(rand() *10 + 1);
+disp(n,'n = ');
+I = eye(n,n);
+for i = 0 : n-1
+    e = I(i+1,:);
+    printf('e%d = ',i+1);
+    disp(e);
+end
+disp('x1,x2,x3...xn are the scalars in F');
+disp('Putting a = x1*e1 + x2*e2 + x3*e3 + .... + xn*en');
+disp('So, a = (x1,x2,x3,...,xn)');
+disp('Therefore, e1,e2..,en span F^n');
+disp('a = 0 if x1 = x2 = x3 = .. = xn = 0');
+disp('So,e1,e2,e3,..,en are linearly independent.');
+disp('The set S = {e1,e2,..,en} is called standard basis of F^n');
+//end
-- 
cgit