Give a geometric interpretation of the linear transformations defined by the matrices in Exercises 16 through 23. Show the effect of these transformations on the letter L considered in Example 5. In each case, decide whether the transformation is invertible. Find the inverse if it exists, and interpret it geometrically. See Exercise 13.
L32 - 3 Riemann Sums, Deﬁnite Integral, and Area: If f(x) ≥ 0o n[ a,b] y = f(x) a b If f(x) ≤ 0form e x in [a,b] y = f(x) a b NOTE: Signed area of a region = ▯ b f(x)dx = a ▯ b |f(x)|dx = a