Question: Linear Algebra Given the function below f(x, y, =) = 2 cos (x) + ry - xz - y - ez + 2z (a) Show

Linear Algebra

Given the function below f(x, y, =) = 2 cos (x) + ry - xz - y - ez + 2z (a) Show that the origin (0, 0, 0) is a stationary point (show the gradient is 0). (b) Show that the Hessian matrix ("second derivative matrix" ) at that point is -2 1 -1 H 1 -2 0 0 -4 (c) What kind of stationary point is this? Or is there insufficient information? Justify your

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