Let 77: R2 77 be the function // R be the function defined by = a i62 + a2b\ for G R'"

Chapter 6, Problem 6

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Let 77: R2 77 be the function // R be the function defined by = a i62 + a2b\ for G R'" (a) Prove that 77 is a bilinear form. (b) Find the 2x 2 matrix A such that 77(x. y) = x' Ay for all x, y G R2 . For a 2 x 2 matrix A7 with columns x and y, the bilinear form 77(A7) = H(x,y) is called the permanent of M

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