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Let X1 and X2 be a pair of random variables

Let X1 and X2 be a pair of random variables. Show that the covariance between the random variables

Y1 = (X1 + X2) and Y2 = (X1 - X2) is 0 if and only if X1 and X2 have the same variance.

Y1 = (X1 + X2) and Y2 = (X1 - X2) is 0 if and only if X1 and X2 have the same variance.

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