Let A = c d Find det(A). det and let k be a scalar. Find a formula that relates det(kA) to k and det (Simplify your answer)

Q: N 3 -1l Find the adjoint of A: A =| 1 6 3.Then verify that A (adj A)= (det A)I. 2 -4 0

A: Verification:Compute adj(A) as follows.

Q: Integrate using the method of trigonometric substitution. Express the final answer in terms of the…

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Q: Verify that and use this equation to evaluate 2-1(2-4) (Aª dx 1

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Q: Use​ Cramer's rule to solve for y.  5x+4y+5z 2x+3y-3x=25 2x-5y-22=-17

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Q: z is a complex variable, z=x+iy determine which of the following functions u are harmonic. For each…

A: Basic definitions and Cauchy Riemann equations.

Q: Let A = {z € Z\z ≤ 2}, B = {z € Z]z ≥ 0}, and C = {−3,−1, 0, 3, 4}.

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Q: Question: Consider the equation (z-1)3=i,€C. The roots of this equation arew1,w2 and w3, where…

A: The objective of the question is to find the roots of the given equation and verify a certain…

Q: z is a complex variable, z=x+iy determine which of the following functions u are harmonic. For each…

A: To check if the function u is harmonic, and in that case , find its harmonic conjugate v

Q: Cos sin 0 = Let A-s (a) (b) sin 0 со B = (1 − A)(I + A)−¹ and C = (I − B³)(I + B³)−1 Assume (I +…

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Q: ind the rights reserved. inverse of M 2b0 -1 -2 1 2eve 0 by first finding the cofactor

A: The matrix is: M=2b0-1-21120; b=3. To Do:We have to find the inverse of M by first finding the…

Q: 9. Let f(x) = x sin²x, g(x) = x cos x, and h(x) = x. Then the functions f, g, and h are linearly…

A: The given functions  and .The aim is to check whether the functions are linearly independent or not.

Q: Evaluate f (x + 4y)dz + (-42-4y) dy around a circle of radius 3 with centre at (0,0) traversed…

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Q: A= 0000 0100 0010 0001 Find the cofactor с 1,1

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Q: Given w = Prove or disapprove: w · w = ||w||. Explain all detail-

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