Let -4 -6 4 6. A = 6. 2 -2 -6 Find an orthonormal basis of the kernel of A.

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Q: 2. Solve the differential equation (3x2 – x³ + 3y – 3.ry – y°)d.x + 3(x + y²)dy= 0, - -

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Q: ) Obtain the general solution of y" + 2y + y = e² In r

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Q: 11. 2х, — 3х, = -7 x1 + 3x2 - 10x3 9. 3x1 Xz = 13

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Q: y dx — (х + бу?) dy %3D 0

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Q: 6. Show that if ƒ : X → Y and g : Y → Z are both onto then fg: Z → Z is onto. (Note this is function…

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A: This is a problem of the chain rule and Implicit function theorem.

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Q: Use Euclid algorithm to write (80,104) as a linear combination of 80 and 104

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Q: y 8 7 6 2. -8 -7 -6 5 -4 -3/-2 -1/0 12 3 4 56 7 8 3.

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Q: 29-35 REAL INTEGRALS Evaluate by the methods of this chapter (showing the details): de 29. 25 - 24…

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Q: 9.4. Show that 1 dx (x² + 1)3 %3D

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Q: Q2. (a) Show that {e-*,xe-*} is a fundamental set of solutions of y" + 2y' + y = 0 on (0, 0). (b)…

A: Introduction: Wronskian of a given set of functions is very useful to examine whether the functions…

Q: G7. Find yet), the solutlan of the interval value problem 4'=-2t +2te, ylol= 0 -2t2 ulol= Y09 where…

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Q: (c) Show that the differential equation æy" - 3y + ry = 0 has a general solution of the form y(x) =…

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Q: 2. Let A:= {1,2,3, 4} =: B and T:= {(a, b) € Ax B | e Z}. (a) Find A x B. (b) Find T (c) Check what…

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Q: defined b = sin out the X

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Q: Let y = 3Ja. Find the change in y, Ay when x = 3 and Ar 0.2 %3D Find the differential dy when x = 3…

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Q: e numeral is

A: In this question, the change of the numeral system is applied. Number System A number system is a…

Q: In Exercises 9-12, show that the Gauss-Seidel method diverges for the given system using the initial…

A: We can solve this using gauss Seidel method