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Question 2 (15 points) -4 3 Given the matrix A = 1 2 a) Show that A is invertible -4 3 det(A) = -4x

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Question 2 (15 points) -4 3 Given the matrix A = 1 2 a) Show that A is invertible -4 3 det(A) = -4x 2 2 b) Determine the inverse matrix A (4 points) -2x3=-80A is invertible (6 points) A= 2 det A 1 [cofA] = 1 -2 -3 = -8 8 -4 -4 2 4 c) Solve the following system of linear equations: 0 -4x+3y=2 2x+y=3 x Since A is invertible, the unique solution is : (5 points) II 1 = 0233-2 8 4

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