Problem 1 Find the eigenvalues of the following symmetric matrix, an orthonormal basis for each eigenspace, and then orthogonally diagonalize the matrix. (Hint: 7 is an eigenvalue.) A = 3 -2 4 -24 62 23

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A: Solution: Given information:  n= 555 Sample size p= 0.54 Population proportion.

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A: Given:A matrix of order  is given by .To Find:We have to determine  and .

Q: 2. (Problem # 7, p. 260) (a) Find all equilibria of N41 : 0.9Nt, t = 0, 1, 2, ... (b) Use cobwebbing…

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Q: If f(x) = 9- 3x, find each of the following. (a) f(- 5) (b) f(0) (c) f(2)

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Q: Solve the initial value problem. X' = AX, X(0) = | ,where A = 10 -3 -2 sin 2t + 2 cos 2t A. X(t) = e…

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