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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
commitb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch)
treeab291cffc65280e58ac82470ba63fbcca7805165 /26/CH6/EX6.3.7/6_3_7.sce
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+disp('Vectors u1 u2 and y are')
+u1=[1;3;-2]
+u2=[5;1;4]
+y=[1;3;5]
+disp(y,'y=',u2,'u2=',u1,'u1=')
+disp('u1.u2=')
+a=u1'*u2
+disp(a,'=')
+disp('Hence, {u1 u2} form an orthogonal basis.')
+disp('Let W=span{u1 u2}')
+disp('Therefore, projection of y on W is:')
+disp('((y.u1)/(u1.u1))*u1+((y.u2)/(u2.u2))*u2')
+a1=y'*u1
+a2=u1'*u1
+b1=y'*u2
+b2=u2'*u2
+disp((b1/b2)*u2,'+',(a1/a2)*u1,'=') \ No newline at end of file