Give 2 2 matrices A so that for any x R2 we have, respectively: a. Ax is the vector whose components are, respectively, the sum and difference of the components of x. b. Ax is the vector obtained by projecting x onto the line x1 = x2 in R2. c. Ax is the vector obtained by first reflecting x across the line x1 = 0 and then reflecting the resulting vector across the line x2 = x1. d. Ax is the vector obtained by projecting x onto the line 2x1 x2 = 0. e. Ax is the vector obtained by first projecting x onto the line 2x1 x2 = 0 and then rotating the resulting vector /2 counterclockwise. f. Ax is the vector obtained by first rotating x an angle of /2 counterclockwise and then projecting the resulting vector onto the line 2x1 x2 = 0.

MATH 1220 Notes for Week #14 18 April 2016 ● Find lim sin(x. x→0 tan(x) ○ lim sin(x= lim ssin(x)lim sin(x)cos(= limcos(x) = 1 x→0 tan(x) x→0 cos(x) x→0 sin(x) x→0 ○ Recognize that the limit of the ratios of these functions near x = 0 is 1 because...