Use the Putzer algorithm to determine the exponential of the following matrix: 1 1 0 3 -2 0 3 -4 A =

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Q: 1. Use the Root Test to determine if the series (-1)" 2/m en? (2n2 – 1)n n=1 -

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Q: Now consider the series V8(4n)!(1103 + 26390n) This series was discovered by the extraordinary India...

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Q: Consider the weighted voting system [75: 50, 46, 35, 20, 3] 1. What is the smallest quota? Look at t...

A: Consider the weighted voting system 75:50, 46, 35, 20, 3.  

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Q: -2 4 A = -1 -3 4. -6 Find dimensions of the kernel and image of T() = Ai. %3D dim(Ker(A)) = dim(Im(A...

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Q: Consider the sequence a, = 4+1+3" 4" (a) Is the sequence monotonic pr non-monotonic? If it is monoto...

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Q: 1. Consider the functions f : A → B and g : B → C. a. If f and g are both injective, show that so is...

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Q: Evaluate the integral S dady by reversing the order of integration. Evaluate the iterated integral S...

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Q: 2: Change the order of integration. •ln 4 f(u, у)dydx.

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Q: 2. Compute the minimal polynomial of the following matrix (with coefficients in R) WITHOUT comput- i...

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Q: 4. Consider the weighted voting system [14: 14, 10, 2, 1]. a. What is the quota? b. How many players...

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Q: Problem 5. Let a E R" be fixed. Suppose that vectors x, y E R" are related by the equation a = x+ (x...

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