MATH 1553 Quiz: MATH 1553 GT Quiz 7 5 1 5 2 Solutionsm1553
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Math 1553 quiz 7: 5. 1, 5. 2 (10 points, 10 minutes) Show your work and justify answers where appropriate. If you write the correct answer without suf cient work or justi cation, you will receive little or no credit. Solutions: under each picture, write the eigenvalue being depicted (an estimate is ne). If the picture does not show an eigenvector, write no. You do not need to justify your answer. (only real numbers are allowed for eigenvalues in this problem) (a) = 1. 2 (b) no (c) = 1 (d) = 0: find the eigenvalues and a basis for each eigenspace of a = 0 1. For 1 = 1: a i = 1 1. For 2 = 2: a 2i = 2 1. 2 , etc. : true or false, 1 point each. If the statement is always true, answer true.
