Let s be the subspace of ir3 that consists of all solutions to theen 2x +y- (a) find a matrix whose column space c(a) is the plane s. (b) let p be the 3 x3 projection matrix that projects points in e 3 x 3 projection matrix that projects points in r3 onto s. find the eigenvnlne system and determine what happens to y(t) as t ? oo. y, -py, y(0)-10 and eigenvectors of p. (hint: you do not need to (c) solve the following

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

if you're trying to figure out how much each ounce cost it would be 0.20

cents each ounce

i think da answer is

d.square root of 3