Let f(x, y, z) = x³ + 5x²yz + 3xz+ 3, v = Then: D, f(a) = 201 0 -2 and a = -5 2 -5

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Q: Exercise 1 Without computing the eigenvalues and eigenvectors, explain why the ma trices -1 1-2 0 K-…

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Q: Let A, B, C be n × n real matrices such that A = BC. Prove A is invertible if and only if B, C are.

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Q: 2) Find the Fourier transforms of: a) b) f(x) = cos(ax), where a > 0. f(x) = x² cos(ax) + x sin(ax),…

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Q: 7. Suppose that u € Um has order n. If d = gcd(k, n), then ordm (uk) = n/d.

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