The eigenvalues of the following matrix will be real, distinct, and nonzero. Analyze the stability of equilibrium (0,0). Is it a sink, source, or a saddle point? A= [ -2   2]       [ 2    1]

The function of 2 variables:  f (x,y) = (5/2)x2 + 2xy - 12x + (3/2)y2 - 7y + (31/2)  Has a stationary point at (2,1). At this stationary point, the Hessian matrix for f is:  H = [5 2]        [2 3]  Which one of these options best describes the stationary point? A. The stationary point is a saddle point B. The stationary point is a local minimum C. The stationary point is a local maximum D. The nature of the stationary point cannot be determined by the Hessian matrix

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Let A be a 2x2 matrix with eigenvalues 5 and 3 and corresponding eigenvectors v₁ Complete parts (a) through (c). [1] [1] and V₂ a. Is the origin an attractor, a repeller, or a saddle point of the dynamical system XK+ 1 = Axk? A repeller A saddle point O An attractor