Q2.3 Given two sets of m vectors, xi 2 Rn and yi 2 Rn for all i

Q2.3 GÍiven two sets of m vectors, xi 2 Rn and yi 2 Rn for all i = 1, 2, ,m, verify that the summations m i=1 xix|i and

Ím i=1 xiy|i can be vectorized as the following matrix multiplications:

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m Exx=xx i=1 m xx = XX and x/y = XY, i=1 Xm] = Rnxm and Y = [y1 y2ym] = Rxm where x = [x1 x2 ... Xm