A linear operator T: V→V is called nilpotent if TP = 0 for certain positive integer p. Prove that if an operator is nilpotent then 0 is its only eigenvalue.

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A: Given, Graph of f(x) is shown as:

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A:

Q: Please show all steps and explain!

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A: Answer:----.                   Date:----29/09/2021

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A: Ànswer:----.                           Date:---30/09/2021

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Q: 33. T Slope of tangent line Given the function f(x) = 1 - cos x and the points A(π/2, f(π/2)), B(π/2…

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Q: SET UP BUT DO NOT EVALUATE: integrals as specified to find the volume of the solid bounded by the…

A: a) The region bounded by all three surfaces is solid given to us See the sketch given below

Q: (1) Consider the second-order equation y" + 2y' - 8y = f(t) with initial conditions y(0) = 1 and…

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Q: Show that the equality [r + y] = [2] + [y] is not valid for all real numbers r and y.

A: Consider the provided question, We first define ceiling function. The ceiling function maps x to the…

Q: Draw the graph represented by the adjacency matrix. 0 2 0 1 200 1 1 0 0 0 00 0 0 2 1. 1 0. 0.

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Q: 5. Let U = {(u₁, U2, U3) E R³|u₁ + u2 - u3 = 0} and V = {(V1, V2, V3) E R³v₁ - 3v2 +5v3 = 0}. (a)…

A: (a)

Q: Show clear steps please.

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Q: find f(0), f'(0), g(1), g'(1), and (g o f)'(0)

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