initial commit / add all books

1 files changed, 25 insertions, 0 deletions

diff --git a/26/CH5/EX5.3.7/5_3_7.sce b/26/CH5/EX5.3.7/5_3_7.sce
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+disp('the given matrix is:')

+a=[1 0;6 -1]

+disp(a,'A=')

+disp('Since A is triangular, eigenvalues are the diagonal entries.')

+disp(a(2,2),a(1,1),'Eigenvalues are:')

+disp('for lambda=1')

+disp('A-1I=')

+b=a-eye(2,2)

+disp(b)

+disp('Hence, x1=(1/3)x2 with x2 as free variable.')

+disp('Eigenvector corresponding to lambda=1 is:')

+u1=[1;3]

+disp(u1)

+disp('for lambda=-1')

+disp('A-(-1)I=')

+b=a+eye(2,2)

+disp(b)

+disp('Hence, x1=0 with x2 as free variable.')

+disp('Eigenvector corresponding to lambda=-1 is:')

+u2=[0;1]

+disp(u2)

+disp('Thus, matrix P=')

+disp([u1 u2])

+disp('and matrix D=')

+disp([1 0;0 -1])
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