Question: 1. Let a = (5, -8, 0,3) and b = (0, 2, -4, 3).| (a) Calculate (2b - 4a) (b) Calculate (26 - 4a) .

1. Let a = (5, -8, 0,3) and b = (0, 2, -4, 3).| (a) Calculate (2b - 4a) (b) Calculate (26 - 4a) . (b + 2a) (c) Calculate || a || and || b || (d) Show that the Triangle Inequality applies in this case. 2. Consider the following matrix: 09 A 4 CI 3 -2 (a) Calculate the determinant of A. (b) Find the inverse of A, if it exists. 3. Solve the following system of linear equations using matrix inversion; -2x +y+ 3z = 11 4x + 5y + 3z = 3 I - 2y - 2 = -6

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