Define the linear transformation T by T(x) = Ax. Find ker(T), nullity(T), range(T), and rank(T). A = 0 −4 2 8 0 19 (a) ker(T) (If there are an infinite number of solutions use t as your parameter.) (b) nullity(T) (c) range(T) {(s, 0): s is any real number} R2 R3 {(0, t): t is any real number} {(8s, 4t, 19s − 2t): s, t are any real number} (d) rank(T)

Stefano accidentally dropped his sunglasses off the edge of a canyon as he was looking down. the height, h(t), in meters (as it relates to sea level), of the sunglasses after t seconds, is shown in the table. during its descent, the pair of sunglasses passed by a climber in the canyon 6 seconds after stefano dropped them. to the nearest meter, what is difference in elevation between stefano and the climber? 166 meters 176 meters 230 meters 240 meters its b.176 i took the test 166 is wrong and 176 is correct