1 files changed, 21 insertions, 0 deletions
diff --git a/26/CH4/EX4.6.1/problem1.sce b/26/CH4/EX4.6.1/problem1.sce
new file mode 100755
index 000000000..2fa14bdfb
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+++ b/26/CH4/EX4.6.1/problem1.sce
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+disp('to find the rank of matrix A')
+a=[1 -4 9 -7;-1 2 -4 1;5 -6 10 7]
+p=a
+disp(a,'A=')
+disp('performing row operations')
+a(2,:)=a(2,:)+a(1,:)
+a(3,:)=a(3,:)-5*a(1,:)
+disp(a)
+a(3,:)=a(3,:)+7*a(2,:)
+disp(a)
+disp('It is clear that matrix A has 2 pivot columns')
+disp('Hence, rank(A)=2')
+disp('COlumns 1 and 2 are pivot columns')
+disp(p(:,1),'and',p(:,2),'Hence, basis for C(A) is:')
+disp('Basis for row space of A is:')
+disp(a(1,:),'and',a(2,:))
+disp('To find the basis of N(A), solve Ax=0')
+disp('on solving, we get the basis of N(A) as:')
+u=[1;2.5;1;0]
+v=[-5;-3;0;1]
+disp(v,'and',u)
+\ No newline at end of file