Science:Math Exam Resources/Courses/MATH103/April 2016/Question 06 (b) (ii)
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Question 06 (b) (ii) |
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(ii) Find all fixed points of this map . |
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! |
Hint |
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is said to be a fixed point of the map if and only if |
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Solution |
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Please rate my easiness! It's quick and helps everyone guide their studies. A fixed point of the map must satisfy So, we must solve for in Rearranging, we have which implies that Consequently, the two fixed points for the map are |