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Eigenvalues of a Transformation

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The linear operator T: R^3 -> R^3 defined by T(x_1, x_2, x_3) = (x_1 - 3x_3, x_1 + 2x_2 + x_3, x_3 - 3x_1). Find the eigenvalues of the transformation T. Show work.
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The eigenvalues of a transformation are found. The solution is detailed and well presented.

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Write the transformation using matrices: x*T=v (vector x=(x_1, x_2, x_3); vector v=(x_1 - 3x_3, x_1 + 2x_2 + ...

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