Science:Math Exam Resources/Courses/MATH221/April 2009/Question 11 (a)
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Question 11 (a) 

Let Find a nonzero vector such that 
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If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Science:Math Exam Resources/Courses/MATH221/April 2009/Question 11 (a)/Hint 1 
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Solution 

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To find a nonzero vector v such that Av = 2v, let v = , we have Therefore, we can get solving for the system, we get a = 2c, c = b, and so a = 2b. Thus, the nonzero vector v = 