Verify that λ; is an eigenvalue of A and that X; is a corresponding eigenvector. = λ₁4, x₁ = (1, 0, 0) 1₂ = 2, x₂ = (1, 2, 0) 133, X3 = (-3, 1, 1) AX₁ 4 -1 4 --- = 0 2 1 0 03 AX₂= A = AX3 = 4-1 4 0 2 1 I 0 03 4 0 0 -1 4 2 1 03 -1 4 0 2 = = ↓↑ = 4 = 40341 =ληX1 1 --- = 2 2 0 -3 = 1₂x₂ 1 =13*3

Q: Verify that λ; is an eigenvalue of A and that x; is a corresponding eigenvector. -4-2 2₁-11, x₁ =…

A: Given matrix is A = -4-23-2-7612-6

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Q: Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 %3D 13, х1 %3…

A: Given A = -14-645-12-2-43λ1 = 13, x1 = (1, 2, -1)λ2 = -3, x2 = (-2, 1, 0)λ3 = -3, x3 = (3, 0, 1)

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Q: Is 1 (3) an eigenvector of Yes No C = (-25 0)?

A: Step 1: Step 2: Step 3: Step 4:

Q: Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 = 8, x1 = (1, 0,…

A: The given problem is solved below in detail

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