MATH 240 Lecture Notes - Lecture 34: Leslie Matrix, Diagonal Matrix, Diagonalizable Matrix
25 Jan 2019
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Review exercises for chapters 1, 2, 3 and 5. These review exercises are to help you prepare for the nal exam. You don"t have to hand in your solutions they won"t be marked. I personally don"t like reviewing old assignment problems. I prefer to warm up for a nal exam by doing some new problems like these. For 1. 2 exercise 9 also express the solutions in parametric vector form. For 1. 4 exercise 19 use the invertible matrix theorem from chapter 2. For 1. 8 exercise 24, the statement v1, v2, . , vp spans rn means every vector in rn is a linear combination of v1, v2, . 5. 5 calculate the characteristic polynomial c( ) of the matrix a below and the eigenvalues of a. You should get one real and two complex eigenvalues, one of which is 1 + 3i. A stage-matrix model is what we have called a leslie age distribution model.
