MATH152 April 2012
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Question 02 (a)
Consider the following system of linear equations
where a,b, and c .
Write the system in matrix form . Clearly define A, , 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!
Write out a general linear 3x3 system
Compare this to what is given in the question.
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The matrix should be composed of the coefficients of the variables on the left hand sides of the equations. Thus
Next, we note that to compose the on the right to the matrix . The right hand side has to be . Thus
As a sanity check, perform the matrix multiplication so that you can verify that this works.
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