# Eigenvalues and Dimension of Corresponding Eigenspace (4 Problems)

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Determine the eigenvalues and eigenvectors of each of the following matrices. For each eigenvalue, determine the dimension of the corresponding eigenspace.

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Determine the eigenvalues and eigenvectors of each of the following matrices. For each eigenvalue, determine the dimension of the corresponding eigenspace.

(a)

1 0

0 1

(b)

1 1

0 1

(c)

1 0

1 1

(d)

1 1

2 1

Solution.

a) For matrix

Its characteristic equation is

=0

So, we get two equal roots 1

In order to ...

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Eigenvalues and the Dimension of Corresponding Eigenspace are investigated. The solution is detailed and well presented.

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