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)

896.31 cm= km 100cm = 1m 1000m = 1km a) 0.0089631 b) 0.0089631 c) 8.9631 d) 89.631

Alex took his brother to a birthday party. the party was scheduled to last for 1 and 3/4 hours but they stayed for 4/5 of an hour more. how long did she stay at the party?

Igure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below: 4 quadrant coordinate grid showing two parallelograms. figure 1 has vertices at negative 5, 2 and negative 3, 4 and negative 4, 7 and negative 6, 5. figure 2 has vertices at 5, negative 2 and 7, negative 4 and 6, negative 7 and 4, negative 5. which two transformations can map figure 1 onto figure 2? reflection across the y-axis, followed by reflection across x-axis reflection across the x-axis, followed by reflection across y-axis reflection across the x-axis, followed by translation 10 units right reflection across the y-axis, followed by translation 5 units down