GRE Subject Test: Math : Eigenvalues

Study concepts, example questions & explanations for GRE Subject Test: Math

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Example Questions

Example Question #1 : Eigenvalues

Find the eigenvalues of the following matrix, if possible.  

Possible Answers:

The eigenvalues do not exist.

Correct answer:

Explanation:

In order to find the eigenvalues of a matrix, apply the following formula:

 is the identity matrix.

Compute the determinant and set it equal to zero.

Solve for lambda by using the quadratic formula.

 

Example Question #2 : Eigenvalues

Find the eigenvalues of the following matrix, if possible.  

Possible Answers:

The eigenvalues do not exist.

Correct answer:

Explanation:

In order to find the eigenvalues of a matrix, apply the following formula:

 is the identity matrix.

Compute the determinant and set it equal to zero.

Solve for lambda by using the quadratic formula.

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