More typos.
Do they ever end?
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"We already talked about the symmetry of the covariance matrix; $\\sigma_{ab}=\\sigma_{ba}$. We see now why this is true from the equation for the covariance.\n",
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"\n",
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"$$\\begin{aligned} COV(x,y) &= \\frac{1}{N}\\sum_{i=1}^N (x_i - \\mu_x)(y_i - \\mu_y) \\\\\n",
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"&= \\frac{1}{N}\\sum_{i=1}^N (y_i - \\mu_y)(x_i - \\mu_x \\\\\n",
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"&= \\frac{1}{N}\\sum_{i=1}^N (y_i - \\mu_y)(x_i - \\mu_x) \\\\\n",
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"&= COV(y,x)\\end{aligned}$$\n",
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"\n",
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"This gives the covariance matrix\n",
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