A 2 × 200 data matrix D contains the coordinates of 200

Chapter 2, Problem 9E

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QUESTION:

Problem 9E

A 2 × 200 data matrix D contains the coordinates of 200 points. Compute the number of multiplications required to transform these points using two arbitrary 2 × 2 matrices A and B. Consider the two possibilities A(BD) and (AB)D. Discuss the implications of your results for computer graphics calculations.

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QUESTION:

Problem 9E

A 2 × 200 data matrix D contains the coordinates of 200 points. Compute the number of multiplications required to transform these points using two arbitrary 2 × 2 matrices A and B. Consider the two possibilities A(BD) and (AB)D. Discuss the implications of your results for computer graphics calculations.

ANSWER:

Solution

Step 1

In the Question it is giving that A 2 × 200 data matrix D contains the coordinates of 200 points. Compute the number of multiplications required to transform these points using two arbitrary 2 × 2 matrices A and B. Consider the two possibilities A(BD) and (AB)D. Discuss the implications of your results for computer graphics calculations.

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