Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 3 -1 2 1 1. (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) 1 1 (2,, 12) = - 2' 2 a basis for each of the corresponding eigenspaces 1 X1 1 3 X2 = 1

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