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Let f(x, y, z) = 2x - 2xy + 4xz + 3y - 2yz + z. == (a) Find the matrix A corresponding to

Let f(x, y, z) = 2x - 2xy + 4xz + 3y - 2yz + z. == (a) Find the matrix A corresponding to f. (b) Determine whether A is positive definite. (c) Based on (b), what are the possible behaviors of f at the origin?

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