Question: 36. If v = (1, -1) and v2 = (2, 1) are eigenvectors I of the matrix A corresponding to the eigenvalues A =

36. If v = (1, -1) and v2 = (2, 1) are

36. If v = (1, -1) and v2 = (2, 1) are eigenvectors I of the matrix A corresponding to the eigenvalues A = 2, 2-3, respectively, find A(3v1 - V2). I 37. Let v = (1, 1, 1), v2 = (2, 1, 3), and v3 = (-1, -1, 2) be eigenvectors of the matrix A corre- sponding to the eigenvalues = 2, A2 = -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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