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1 1 1 Show that the matrix A= -3 2 1 satisfies (Arl) = 0 for some number r and some positive integer k
1 1 1 Show that the matrix A= -3 2 1 satisfies (Arl) = 0 for some number r and some positive integer k and use this fact to determine the 93-5 matrix e At Hint: Compute the characteristic polynomial and use the Cayley-Hamilton theorem. Substitute the value of r and the smallest value of k that solve the equation. 11 1 -3-2 1 9 3-5 1 0 0 - 0 1 0 = 0 001 What is e e At = At?
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Differential Equations and Linear Algebra
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
2nd edition
131860615, 978-0131860612
