MATH 1553 Midterm: MATH 1553 GT Spring Exam2
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Gt username: no books or notes are allowed, all calculators and/or electronic devices are not allowed, show all work and fully justify your answer to receive full credit, please box your answers, good luck! Also, describe the range of t geometrically. (8 pts. : find a basis for the null space of the matrix a. (12 pts. ) 1: find a basis for w . (8 pts. ) 5: for the three parts of this problem use the matrix a below. 10 3 7 (a) find the lu decomposition of a. (10 pts. ) (b) find the determinant of a. Hint: use part (a) (8 pts. ) (c) find all solutions to ax = 0. Justify your answer for full credit. (4 pts. ) If v1, v2, v3 are vectors in r3 such that none are scalar multiples of each other, then the set {v1, v2, v3} is a basis for r3.
