Unformatted text preview: This problem is the same as the problem two.
Step 1. Using
( ) in Matlab/Octave find the set of eigenvalues.
)
Step 2. For each eigenvalue set up the equation (
Where for by matrix
, is an by vector.
Step 3. Set up the corresponding augmented matrix and use
in Matlab/Octave to find the
reduced row echelon form of the matrix.
Step 4. Using the same approach as used in example 4 and explained in the discussion session
find the base vectors for each eigenspace (here you should be able to find independent
bases as eigenvector for eigenvalues,
).
Step 5. Set up the matrix from eigenvectors and matrix from eigenvalues:
[ and [ (a) Applying previous steps we get:
[ and [ (b) and
[ [...
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 Fall '13
 KFOURY
 Linear Algebra, Algorithms, Matrices, Eigenvalue, eigenvector and eigenspace, Orthogonal matrix

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