Science:Math Exam Resources/Courses/MATH221/April 2009/Question 07 (a)

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MATH221 April 2009
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Work in progress: this question page is incomplete, there might be mistakes in the material you are seeing here.

  •  Q1  •  Q2  •  Q3  •  Q4  •  Q5  •  Q6  •  Q7 (a)  •  Q7 (b)  •  Q8  •  Q9 (a)  •  Q9 (b)  •  Q9 (c)  •  Q9 (d)  •  Q10  •  Q11 (a)  •  Q11 (b)  •  Q11 (c)  •  Q12 (a)  •  Q12 (b)  •  Q12 (c)  •  Q12 (d)  •  Q12 (e)  •  Q12 (f)  •  Q12 (g)  •  Q12 (h)  •  Q12 (i)  •  Q12 (j)  •  

   Other MATH221 Exams
  •  December 2011  •  December 2009  •  December 2008  •  December 2007  •  April 2013  •  April 2010  •  April 2009  •  

Question 07 (a)

Let be the reflection across the line , and let A be the standard matrix of this linear transformation.

Find a basis for consisting of eigenvectors of A.

Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you?

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!

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