### All GRE Subject Test: Math Resources

## 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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