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/CH8/EX8.14/Ex8_14.sce | 17 +++++++++++++++++ 1 file changed, 17 insertions(+) create mode 100755 3293/CH8/EX8.14/Ex8_14.sce (limited to '3293/CH8/EX8.14/Ex8_14.sce') diff --git a/3293/CH8/EX8.14/Ex8_14.sce b/3293/CH8/EX8.14/Ex8_14.sce new file mode 100755 index 000000000..876816869 --- /dev/null +++ b/3293/CH8/EX8.14/Ex8_14.sce @@ -0,0 +1,17 @@ +//page 286 +//Example 8.14 +clc; +clear; +close; +v = [-10 2 8]; +u = [3 12 -1] +disp(v,'v = '); +disp(u,'v = '); +disp('Orthogonal projection of v1 on subspace W spanned by v2 is given by:'); +a = ((u*v')')/(u(1)^2 + u(2)^2 + u(3)^2) * u; +disp(a); +disp('Orthogonal projection of R^3 on W is the linear transformation E given by:'); +printf('(x1,x2,x3) -> (3*x1 + 12*x2 - x3)/%d * (3 12 -1)',(u(1)^2 + u(2)^2 + u(3)^2)); +disp('Rank(E) = 1'); +disp('Nullity(E) = 2'); +//end -- cgit