Problem 6. Let A2 = A. Prove that either A is singular or det (A) = 1.

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Q: 22 Find the PALU factorizations (and check them) for 0 1 1 A = 1 0 1 and A = 2 3 4 1 2 0 24 1 1 1 1

A: Solution :- As per guidelines I submitted only first question. If you want all question the repost .…

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Q: 4. Determine whether or not the following are Reflexive, Symmetric and Transitive. (a) on Z: (a, b)…

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Q: [34] Find the Laplace transform of f(t): = t² 2t - 8 2 te-2t t 6.

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Q: ii, Find the area under the graph y=5x4 between the limits x= 1 and x=3.

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Q: Find the ONLY particular solution of the given linear system: x+3y+z+2t=1 2x+6y+4z+8t=3 2z+4t=1. 1/2…

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Q: procedure Horner(c, ao, a₁, a2, ..., an: real numbers) y := an for i:=1 to n y = y* c + an-i return…

A: Here follow the python code output.

Q: solve the following system of equations: x'=dx/dt=7y+7e4t y'=dy/dt=5y-3e-5t x(0)=2 and y(0)=3

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Q: pts) Evaluate the following contour integrals: (2² + 1) dz, C' is the curve connecting 1 to -i

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Q: (c) Express 6x-5 in partial fractions and hence evaluate: (x-4)(x²+3) -6 6 x-5 dx √≤ (x−4)(x²+3)

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Q: H = {n: n is a positive even integer from 1 to 50} K = {n: n is a prime number from 1 to 50} J = {n:…

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Q: -92 -20 -32 - -424 -90 -154 512 110 182 What is A5? . A = 1 -3 -2 1 5 :) ( 7 0 4 0 0 8 10 0 (39 8…

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Q: Minz = S. to X₁ + 2x₂ 2X1- X₁ + 3 X. 7, Xz

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