initial commit / add all books

1 files changed, 27 insertions, 0 deletions

diff --git a/3293/CH1/EX1.9/Ex1_9.sce b/3293/CH1/EX1.9/Ex1_9.sce
new file mode 100755
index 000000000..6e1fd0984
--- /dev/null
+++ b/3293/CH1/EX1.9/Ex1_9.sce
@@ -0,0 +1,27 @@
+//page 14

+//Example 1.9

+clear;

+close;

+clc;

+A = [1 -2 1;2 1 1;0 5 -1];

+disp(A,'A = ');

+disp('Applying row transformations:');

+disp('R2 = R2 - 2*R1');

+A(2,:) = A(2,:) - 2*A(1,:);

+disp(A,'A = ');

+disp('R3 = R3 - R2');

+A(3,:) = A(3,:) - A(2,:);

+disp(A,'A = ');

+disp('R2 = 1/5*R2');

+A(2,:) = 1/5*A(2,:);

+disp(A,'A = ');

+disp('R1 = R1 - 2*R2');

+A(1,:) = A(1,:) + 2*A(2,:);

+disp(A,'A = ');

+disp('The condition that the system have a solution is:');

+disp('2*y1 - y2 + y3 = 0');

+disp('where, y1,y2,y3 are some scalars');

+disp('If the condition is satisfied then solutions are obtained by assigning a value c to x3');

+disp('Solutions are:');

+disp('x2 = 1/5*c + 1/5*(y2 - 2*y1)','x1 = -3/5*c + 1/5*(y1 + 2*y2)');

+//end