Asquare matrix a e rn is said to be skew-symmetric if a =-a prove that if a is skew-symmetric, then x'ax = 0 for all x e r". (hint the t t t quantity x'ax is scalar so that (x'ax) = x'ax)

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?