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

---
 1670/CH3/EX3.10/3_10.sce | 56 ++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 56 insertions(+)
 create mode 100755 1670/CH3/EX3.10/3_10.sce

(limited to '1670/CH3/EX3.10')

diff --git a/1670/CH3/EX3.10/3_10.sce b/1670/CH3/EX3.10/3_10.sce
new file mode 100755
index 000000000..5c707aadf
--- /dev/null
+++ b/1670/CH3/EX3.10/3_10.sce
@@ -0,0 +1,56 @@
+//Example 3.10
+//Triangularization Method
+//Page no. 62
+clc;clear;close;
+
+A=[2,4,-6;1,5,3;1,3,2];
+B=[-4;10;5];
+printf('A can be factorizaed as follows:\n')
+printf('\tL\t\t  *\t\tU\t\t  =\t\tA')
+U(2,1)=0;U(3,1)=0;U(3,2)=0;
+L(1,2)=0;L(1,3)=0;L(2,3)=0;
+for i=1:3
+    L(i,i)=1
+end
+for i=1:3
+    U(1,i)=A(1,i)
+end
+L(2,1)=1/U(1,1);
+for i=2:3
+    U(2,i)=A(2,i)-U(1,i)*L(2,1);
+end
+L(3,1)=1/U(1,1);
+L(3,2)=(A(3,2)-U(1,2)*L(3,1))/U(2,2);
+U(3,3)=A(3,3)-U(1,3)*L(3,1)-U(2,3)*L(3,2);
+printf('\n')
+for i=1:3
+    for j=1:3
+        printf('%.2f\t',L(i,j))
+    end
+    
+    if(i==2)
+        printf('  *     ')
+    else
+        printf('\t')
+    end
+    
+    for j=1:3
+        printf('%.2f\t',U(i,j))
+    end
+    if(i==2)
+        printf('  =     ')
+    else
+        printf('\t')
+    end
+    for j=1:3
+        printf('%.2f\t',A(i,j))
+    end
+    printf('\n')
+end
+printf('\nY=U*X')
+    Y=inv(L)*B
+    X=inv(U)*Y
+printf('\n\nX=')
+for i=1:3
+    printf('\n   %i',X(i,1))
+end
\ No newline at end of file
-- 
cgit