Consider the following matrix: -7 6 12 11 -4 -14 -10 6 15 Determine the eigenvalues corresponding to the given eigenvectors. V₁ = (1,-1,1)⇒ A₁ = V2=(2,-1,2) A₂ = V3 = (0,2,-1) ⇒ A3 = Hint: Consider using the definition Av=Xv directly rather than computing the characteristic polynomial.

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