Let v1 = (1, 1, 1), v2 = (2, 1, 3), and v3 = (1, 1, 2) be eigenvectors of the matrix A

Chapter 7, Problem 37

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Let v1 = (1, 1, 1), v2 = (2, 1, 3), and v3 = (1, 1, 2) be eigenvectors of the matrix A corresponding to the eigenvalues 1 = 2,2 = 2, and 3 = 3, respectively, and let v = (5, 0, 3). (a) Express v as a linear combination of v1, v2, and v3. (b) Find Av.

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