# Science:Math Exam Resources/Courses/MATH221/April 2010/Question 07 (a)

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MATH221 April 2010

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### Question 07 (a)

Let A be a square matrix, with eigenvector v and corresponding eigenvalue ${\displaystyle \displaystyle \lambda }$.

Show that cv is also an eigenvector for A with the same eigenvalue ${\displaystyle \displaystyle \lambda }$ as v for any nonzero constant c.

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