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# Worksheet: The Power Method For Eigenvalues

Q1:

Using the power method, find the eigenvalue with the largest absolute value for the following matrix

• AThe actual largest eigenvalue is 9.
• BThe actual largest eigenvalue is .
• CThe actual largest eigenvalue is 10.
• DThe actual largest eigenvalue is 8.
• EThe actual largest eigenvalue is 7.

Q2:

Consider the matrix Using the power method, determine, to the nearest integer, the eigenvalue of largest absolute value that has.

• AThe largest eigenvalue is approximately 6.
• BThe largest eigenvalue is approximately 7.
• CThe largest eigenvalue is approximately 5.
• DThe largest eigenvalue is approximately 8.
• EThe largest eigenvalue is approximately 4.

Q3:

Using the power method, find the eigenvalue with the largest absolute value for the following matrix

• A1
• B32
• C
• D
• E2

Q4:

Using the power method, find the eigenvalue with the largest absolute value for the following matrix Round your answer to one decimal place if necessary.

• AThe actual largest eigenvalue is 13.
• BThe actual largest eigenvalue is .
• CThe actual largest eigenvalue is 10.
• DThe actual largest eigenvalue is 12.
• EThe actual largest eigenvalue is 5.