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

---
 26/CH6/EX6.3.19/6_3_19.sce | 12 ++++++++++++
 1 file changed, 12 insertions(+)
 create mode 100755 26/CH6/EX6.3.19/6_3_19.sce

(limited to '26/CH6/EX6.3.19')

diff --git a/26/CH6/EX6.3.19/6_3_19.sce b/26/CH6/EX6.3.19/6_3_19.sce
new file mode 100755
index 000000000..cb1d97266
--- /dev/null
+++ b/26/CH6/EX6.3.19/6_3_19.sce
@@ -0,0 +1,12 @@
+disp('By orthogonal decomposition theorem,')
+disp('u3 is the sum of a vector in W=span{u1 u2} and a vector v orthogonal to W')
+disp('To find v, given u1 and u2')
+u1=[1;1;-2]
+u2=[5;-1;2]
+disp(u2,'u2=',u1,'u1=')
+disp('Projection of u3 on W')
+disp('= (-1/3)*u1+(1/15)*u2')
+disp((-1/3)*u1+(1/15)*u2,'=')
+disp('v= u3-(projection of u3 on W)')
+disp((-1/3)*u1+(1/15)*u2,'-',[0;0;1],'=')
+disp([0;0;1]-((-1/3)*u1+(1/15)*u2),'=')
\ No newline at end of file
-- 
cgit