Suppose a transformation l: ℝ3 → ℝ3 satisfies l
100
=
−2
00
, l
010
=
010
and l
001
=
00
−2

i. what is the matrix a that represents the transformation l?
ii. what is the geometric effect of the transformation l?
iii. sketch the image of the unit cube after transformation by l.

An initial investment of $100 is now valued at $150. the annual interest rate is 5%, compounded continuously. the equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested? use your calculator and round to the nearest whole number. years

Write an equation of the line that passes through the point (2, 3) and is perpendicular to the line x = -1. a) y = 1 b) y = 3 c) y = 0 eliminate d) y = -3

Atrain leaves little? rock, arkansas, and travels north at 90 kilometers per hour. another train leaves at the same time and travels south at 80 kilometers per hour. how long will it take before they are 680 kilometers? apart?