Exercise 4: Find a row-reduced matrix which is row-equivalent to -(1 + i) -2 2i A = 0 1 -1

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Q: 3. Let f: A→ B be an injection, and X, Y CA. Show that f(XnY) = f(X) nf(Y).

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Q: lia f(x) = {x, si03 In(x-2) flor). lina flor). lim f(a)

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Q: Prove Wilson's theorem that, for any prime p, (p — 1)!= -1 (mod p).

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Q: ) Use the definition Laplace transform to find £{f(t)}

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Q: 4. Use the table below to March #4 approximate the average value of g(x) using the trapezoidal rule…

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Q: 10 0 0 1 a 1 1 -1 0 2,

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Q: PROBLEM 1: Joey is a college student who is good at designing and creating furniture. He has 6 units…

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Q: 7. vdx + (2x+1-vx)dv = 0 2y x² ox

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Q: 1. Give the general solution of (3D5 – 13D4 +34D³ — 46D² +27D-5)y = 0

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Q: 2. Evaluate: (a) L{(e-2t − 1)² cos πt} - (b) L{U(tn) - sin 3t U(t-T/3)}

A: The given problem is to find the Laplace transforms of the given functions f(t).

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Q: For the function: g(x) = 1 - || , - 2 ≤ x ≤ 2 Find the fourier transform (0 otherwise)

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Q: 2. Draw the complete shear and bending moment diagrams. A -1 m- 800 N 1200 N·m -1 m. -1 m- 600 N -1…

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Q: Problem: Using the language of differential forms, find the value of the integral of the vector…

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Q: 20. Let g(t)= cos(31) +2. (a) Write the parent function and draw one cycle here: (b) Find the…

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Q: Show that for any subgroup of a group the inverses of the  elements of a left coset form a right…

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Q: 1. Let A = {1,2,3,4,5}, B = {3, 4, 5, 6, 7), and C = {2,3,5). (a) Find An B. (b) Find A UB. (c) Find…

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