Find a general solution of the system x'(t) = Ax(t) for the given matrix A. A= -48 -15 45 24 9 -21 -50 - 15 47 Write the characteristic equation for the given matrix A.

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Q: Exercise 6 A matrix A € M₂(C) is Hermitian if A = A, where A¹ is the transpose matrix, and A is the…

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Q: Question 5 Consider the system of first order linear differential equation: x = 4x+y y = -13x - 2y…

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Q: Solve the differential equation y"-2y'-15y = -30x +41 with initial conditions y(0) = 2, y'(0) = 3.…

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Q: -5-4-3-2 K 5- 4 3 2 1 * -2 -3 1 2 -5 4 5 q List all the numbers x at which the function graphed…

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Q: 2. Consider the matrix A = 40-1 03 0 10 2 . (a) Find the eigenvalues of A. (b) Find a basis for the…

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Q: 23 The shown RLC circuit with a - resistor, a 50 driven by the voltage E(t) = 0.07t² V. E = 1 100 R…

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Q: b) 2

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Q: Show that the generating function for the number of compositions of n where each part is either 2 or…

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Q: For (a). (d) use the following inner product of 2 (x₁y) = XT AY -2 where A = [3 3³²]. Let x == 1)…

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Q: Decode the following message, which was encrypted using the matrix A. (Include any appropriate…

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Q: 1. (a) Show that the path 7: (0, ∞) → R³ given by 7(t) = −7+e-¹7-3 ln(t) k is a flow line of the…

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Q: Which pair of the following graphs is isomorphic? O A B and C A and C A and B B с

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Q: 3. Find the Fourier transform of: (a) e-r²/2 (b) xe-2|z| (c) erfx = // Se √ Ső e-²² dz

A: As per our company guidelines, since the question has multiple subparts we will solve the first part…

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Q: Question 1 Let a be a constant. Each of the following three equations represent a plane. 2x+4y-2z=6…

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Q: Consider the function lim h→0+ -9 (a) To determine whether f is differentiable at x = ƒ(−1 + h) −…

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