Science:Math Exam Resources/Courses/MATH307/April 2006/Question 05 (c)
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Question 05 (c) 

A matrix A and a vector b are given by
Split b into , where is in R(A) and is in (i.e. the orthogonal complement of R(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? 
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Hint 

Science:Math Exam Resources/Courses/MATH307/April 2006/Question 05 (c)/Hint 1 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. To find we take the project of b onto the null space from part b
We can find by vector addition
