a) Show that is an eigenvalue of A and find one eigenvector corresponding to this eigenvalue. A = -2 =}], 15 -7. λ = -6

Q: 22. If v is an eigenvector of A with corresponding eigen- value A and c is a scalar, show that v is…

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Q: Let A C ). By considering the characteristic equation of A, prove that the sum of all eigenvalues is…

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Q: ab. A-1 -1 5 -5 AXI= 사 5 -5 = 저 - 5 -5-7 det(A-xz)=(지(5-2) - (-1)(5) a = 2² +62 +5 +5 = 2² +67+10…

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Q: 2. Given that v, =(1,5) and v, = (-1,1) be eigenvectors of 3 A = determine the eigenvalues of A.

A: We have to determine the eigen values of matrix A.

Q: ^₁ = and ^₂ = Find the eigenvalues and eigenvectors of the matrix A = " 15 = -5 -3 [23] -10 V₂ =

A: We have to find eigenvalues and eigenvectors of the matrix.

Q: ) Let A = Show that (1,1) is an eigenvector if a+b=c+d. d]

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Q: Suppose A has eigenvalue X = - 1 with corresponding eigenvector u = [1]. 4 with corresponding…

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Q: If v is a 5-eigenvector of an n x n matrix A, then -20 is an eigenvector of A² - 3A +2I1n with…

A: So the eigen value of this matrix given by.

Q: 7 If A = then find all real eigenvalues and corresponding eigenvectors.

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Q: i = 3x – 4y ý = x – Y

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Q: show that Hhe i'ntegraL equation g(s) -d scsinssinzt) g() 2t has No eigen values.a

A: The details calculation is given below

Q: 7.' Given A Find the eigenvalues and eigenvectors of matrix A

A: Use the definition of eigenvalues and eigenvectors to solve this problem.

Q: a) Find the eigenvalues of A. b) Find three linearly independent solutions of x' = Ax. c) Find the…

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