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Practice problems for Exam 1 discussion area

MA527 Fall 2013



Discuss the old exam and the practice problems here. (You can find them on the MA 527 home page.)

Question from Katherine Mathews

I have a general question... When finding a real solution from a complex solution, do you only need to use one of the eigen-vectors? Each example that was done in class, you only completed the real solution from one eigen-vector and I am not sure if that was done for time sake or if that is the complete solution. If the complete solution can be determined from one eigen-vector complex eigen-vector, does it matter which one you pick?



Question:

When solving a non-homogeneous solution, if we prefer using method of variation of parameters instead of method of undetermined coefficients, is it necessary to know how to use the latter in a question, or is it sufficient to know/understand one of the two methods (either one)?

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Question from Kees

Is the row rank always equal to the column rank, e.g. is the rank of the matrix = row rank = column rank?

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