El"erciIeI 18 Ihrollgh 21 require Ihe lue afsoftv.'(/re Ihalsllp - porls campUler
Chapter 1, Problem 20(choose chapter or problem)
El"erciIeI 18 Ihrollgh 21 require Ihe lue afsoftv.'(/re Ihalsllp - porls campUler gmphin.Consider the unit sq uare S and record S on paper.(a) Reflect S about the x-axis to obtain Figure l. Nowreflect Figure I about the J-a:ds to obtain Figure 2.Finally. reflect Figure 2 about the line )" = -x toobtain Figure 3. Record Figure 3 on paper.(b) Compare S with Figure 3. Denote the reflectionabout the x-axis as L I. the reflection about tlte yaxisas L2 and the reflection about the line )" = -xas L ). What fonnula does your comparison suggestwhen L I is followed by L 2. and thell by L ) on S?(e) If Mi. i = l. 2. 3. denotes the matrix defining L;.determine the entries of the matrix M )M2MI. Doesthis result agree with your conclusion in pan (b)?(d) Experiment with the successive application of thesethree matrix transformations on other figures.
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