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Unformatted text preview: Math 4377, Linear Algebra, Mock and Review for First Exam. Summer 2011, Dr. Min Ru, University of Houston Rwview all homework problems . You need to know the type of the problem (i.e. what is the purpose of the problem). Here are some selected hws: Problem 2 and 3 in HW1 (the definition of a field, how to determine whether S is field). Section 1.2: #13 , 18 (the definition of vector space , and how to de- termine a given V is a vector space (proof and counter-example). Section 1.3: #8 (the definition of subspace , and how to determine a given W V (assume we know that V is a vector space) is a subspace (proof and counter-example). Section 1.4: #5 (the meaning of Span S , how to determine whether a given vector is in Span S ), #6 (the meaning S generates the vector space V ), Section 1.5: #2 , 3 (the meaning of linearly dependent and inde- pendent , how to verify), Section 1.6: #2 ,.. (the meaning of a basis , how to prove a given set is a basis, dimension, ...), #9 (how to express a given vector in terms of the linear combination of the vectors in the basis).the linear combination of the vectors in the basis)....
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