Mathematics, 07.04.2020 22:26 brockmorrison3468
The Fibonacci sequence F1, F2, . . . is defined by F1 = 1, F2 = 1, and Fn = Fnβ2 + Fnβ1 (n β₯ 3). Define T β L(R2) by T(x, y) = (y, x + y). (a) Show that T n(0, 1) = (Fn, Fn+1) for each n. (Use induction.) (b) Find the eigenvalues of T. 1 2 MATH 436 HOMEWORK 9 DUE FRIDAY APRIL 3 (c) Find a basis of R2 consisting of eigenvectors of T, so that the matrix of T with respect to that basis is diagonal. (d) Use your answer to (c) to compute T n(0, 1) in a different way, and conclude that Fn = 1 β5 1 + β5 2 !n β 1 β β5 2 !n! .
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Look at this pattern ; 1,4,9, number 10000 belongs in this pattern . whatβs the place of this number?
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Your company withheld $4,463 from your paycheck for taxes. you received a $713 tax refund. select the best answer round to the nearest 100 to estimate how much you paid in taxes.
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Point s lies between points r and t on . if rt is 10 centimeters long, what is st? 2 centimeters 4 centimeters 6 centimeters 8 centimeters
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The Fibonacci sequence F1, F2, . . . is defined by F1 = 1, F2 = 1, and Fn = Fnβ2 + Fnβ1 (n β₯ 3). Def...
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