Let (left(M^{(1)}, ldots, M^{(d)}ight)) be a local martingale with (M_{0}=0) and denote its quadratic variation by (langle

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Let \(\left(M^{(1)}, \ldots, M^{(d)}ight)\) be a local martingale with \(M_{0}=0\) and denote its quadratic variation by \(\langle Mangle=\left(\left\langle M^{(j)}, M^{(k)}ightangleight)_{j, k}\). Show that \(\langle Mangle=0\) implies that \(M=0\).

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