Suppose AT = -A (real antisymmetric matrix). Explain these facts about A: (a) xT Ax = 0 for every real vector x. (b) The

Question

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).

Kunduz · Accepted Answer

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