Science:Math Exam Resources/Courses/MATH221/April 2009/Question 09 (a)
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Question 09 (a) 

Consider the matrix
Find a basis for 
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 2009/Question 09 (a)/Hint 1 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. We first find rref(A), R12R2 R3+R1 R1 divided by 3 R22R1 we get where x_2 = x_4 x_3 = x_4 so, . thus the basis for . 