Consider the quadratic form q(x?, x2, x3) = 6x1 + 4x1x2 +9x2 + 7x3.3.a Find...
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Algebra
Consider the quadratic form q(x?, x2, x3) = 6x1 + 4x1x2 +9x2 + 7x3.3.a Find the matrix A of this quadratic form. What is the definiteness of q(x)?3.b Find the points on the surface q(x) =1 that are closest to the origin.3.c Find all values of k for which the surface x^T(A-kI3)x = 1 is a hyperboloid of two sheets.
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