susannaking5512 susannaking5512

23-05-2023
Mathematics

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Suppose Aᵀ = -A (real antisymmetric matrix). Explain these facts about A: (a) xᵀ Ax = 0 for every real vector x. (b) The eigenvalues of A are pure imaginary. (c) The determinant of A is positive or zero (not negative).

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