Science:Math Exam Resources/Courses/MATH221/April 2010/Question 08 (b)
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Question 08 (b) 

Please note: Depending on the class section, the original exam only featured Question 8 (a) OR Question 8 (b), not both. Suppose that is a basis for , and that is a basis for . Suppose that is a linear transformation such that and . Find the matrix relative to the bases and . 
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 

Science:Math Exam Resources/Courses/MATH221/April 2010/Question 08 (b)/Hint 1 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Science:Math Exam Resources/Courses/MATH221/April 2010/Question 08 (b)/Solution 1 