(a) Given 2 '11 A = 4 1 -8) -3 -8 -1 6 Using Elementary Row Operations find the rank of A. -31 (b) Given D = [₁23] decode the following message: Message: -1, 4, 30, -41, 39, -58, 22, -33, 31, -46, 23, -34, 1, 1 (c) Find the matrix corresponding to the quadratic form: Q(x) = 8x² + 7x² − 3x² - 6x₁x₂ + 4x1x3 - 2x₂x3 What is the definiteness of Q? (d) Find the quadratic form corresponding to the matrix: What is the definiteness of B? B = 1 1 0 1 0 4 2 2 3.

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