1 C: An example of diagonalisation: Let T be the operator of C3 with matrix M = 0 0 3) Use this to find T4 with as little computation as possible. 2 i 0 1+i 2i1 -i

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A: “Since you have posted multiple questions, we will provide the solution only to the first question…

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Q: 9. Given the graphs of y = f(x) and y = g(x) sketch the graph of k(x) given k(x) = (^)(x) y=f(x)- y…

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Q: The Fourier transform of a continuous-time function .x(t) is X (f) = x(t) e-j²nft dt

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Q: Which integers between 200 and 300 can be written as a sum of two squares? Explain why.

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Q: Simplify and express with positive exponents: (5) n 314 2

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Q: suppose that A is an nxn matrix It A² = A then A must be the identity. Cuote assume that no1).

A: is an  matrix.Also, .

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A: We have, .We know,

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A: According to the question, The problem is a permutation problem. In mathematics, a permutation of a…