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Minimum
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Minimum
Polynomial of a Matrix
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Over Q
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of Minimal Polynomial of Matrix
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an Operator
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Part 2
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in Galois Theory
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and Cayley Theorem
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Polynomial of a Matrix
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the Matrix
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Linear Algebra
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6:07
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MathDoctorBob
Example of Minimal Polynomial
Matrix Theory: We apply the minimal polynomial to matrix computations. For a given real 3x3 matrix A, we find the characteristic and minimal polynomials and evaluate p(A) and q(A) for p(x) = x^3 + x^2 + 1 and q(x) = x^2 + 1. Then we apply Bezout's Identity to find matrices X and Y such that Xp(A) + Yq(A) = I.
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