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HW09: Problem 19 (1 point) Let 5 1 5 M = 1 5 15 0 0 2 Find formulas for the entries of M ,

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HW09: Problem 19 (1 point) Let 5 1 5 M = 1 5 15 0 0 2 Find formulas for the entries of M ", where n is a positive inte er. (Your formulas should not contain complex numbers.) 9 (2 points) Let 0 1 31: 1732: 3 '33: 2 0 be eigenvectors of the matrix A which correspond to the eigenvalues 11 = 3, A2 = 0, and 13 = 4, respectively. and let 1 a? = 1 6 Express 55 as a linear combination of 171, 172, and 173, and find A55. > > > X = 01+ 02+

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