Eight matrices and four phase portraits are given below.

Chapter , Problem 19

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Eight matrices and four phase portraits are given below. For each matrix, form the associated linear system, and determine which system corresponds to each phase portrait. State briefly how you know your choice is correct. You should do this exercise without using technology. (i) 1 1 2 1 (ii) 3 1 1 1 (iii) 3 1 1 0 (iv) 1 1 2 1 (v) 2 0 1 1 (vi) 3 1 1 0 (vii) 0 1 4 4 (viii) 3 3 2 1 (a) 3 3 3 3 x y (b) 3 3 3 3 x y (c) 3 3 3 3 x y (d) 3 3 3 3 x y 20. C

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