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

---
 845/CH3/EX3.1/Ex3_1.sce | 27 +++++++++++++++++++++++++++
 1 file changed, 27 insertions(+)
 create mode 100755 845/CH3/EX3.1/Ex3_1.sce

(limited to '845/CH3/EX3.1')

diff --git a/845/CH3/EX3.1/Ex3_1.sce b/845/CH3/EX3.1/Ex3_1.sce
new file mode 100755
index 000000000..cc74f2226
--- /dev/null
+++ b/845/CH3/EX3.1/Ex3_1.sce
@@ -0,0 +1,27 @@
+//Example 3.1
+clc
+clear
+
+A = [2 3 -1; 4 4 -3; -2 3 -1];  //Coefficient Matrix
+B = [5; 3; 1];  //Constant Matrix
+
+n = length(B);
+Aug = [A,B];
+
+// Forward Elimination
+for j = 1:n-1
+    for i = j+1:n
+        Aug(i,j:n+1) = Aug(i,j:n+1) - Aug(i,j) / Aug(j,j) * Aug(j,j:n+1);
+    end
+end
+
+// Backward Substitution
+x = zeros(n,1);
+x(n) = Aug(n,n+1) / Aug(n,n);
+for i = n-1:-1:1
+    x(i) = (Aug(i,n+1)-Aug(i,i+1:n)*x(i+1:n))/Aug(i,i);
+end
+disp(strcat(["x = ",string(x(1))]))
+disp(strcat(["y = ",string(x(2))]))
+disp(strcat(["z = ",string(x(3))]))
+
-- 
cgit