Find Σxy
x: {-3, 2, 0, 4, -3}
y: {4, 5, 3, -2, -3}
Please show all steps. Thanks!
Over all possible pairs of x,y? Sum of x* Sum of y = 0*Some number = 0.
Justification: the product of two sums is the sum of all possible products of two elements (play around with (a+b+c)*(d+e+f+g) and similar sequences and see what's up)
-3 * 4 + 2 * 5 + 0 * 3 + 4 * -2 + -3 * -3
= -12 + 10 + 0 + -8 + 9
= -1
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Verified answer
Over all possible pairs of x,y? Sum of x* Sum of y = 0*Some number = 0.
Justification: the product of two sums is the sum of all possible products of two elements (play around with (a+b+c)*(d+e+f+g) and similar sequences and see what's up)
-3 * 4 + 2 * 5 + 0 * 3 + 4 * -2 + -3 * -3
= -12 + 10 + 0 + -8 + 9
= -1