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Question 09 (b) 

Consider the matrix
b) 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 (b)/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 look back at our rref(A), from this we can see that the pivot columns are the 2nd and 3rd columns of the matrix, corresponding to the columns in the original matrix A, we get and these are the basis for 