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

Which point lies on a circle with a radius of 5 units and center at p(6, 1)?

Which must be true in order for the relationship △zyv ~ △xwv to be correct? zy ∥ wx ∠z ≅ ∠y and ∠w ≅ ∠x zv ≅ vy and wv ≅ vx ∠z ≅ ∠x and ∠w ≅ ∠y

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?