Question 208676This question is from textbook NewSyllabus Mathematics D book 4
: What does the question means, 'find the matrix representing the transformation that maps triangle A onto triangle B'.
This question is from textbook NewSyllabus Mathematics D book 4
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Matrix transformation,represents a technique that "maps each point" into something else. Perhaps a rotation, perhaps a reflection.
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This is accomplished by multiplying the transformation matrix, by the matrix of the initial figure,
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if the initial figure is a triangle, it might be represented by, (x1,y1), (x2,y2), and (x3,y3).
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This might be represented by the matrix, [ x1 x2 x3]
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[ y1 y2 y3]
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To rotate the triangle 90 degrees,
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[0 -1] [ x1 x2 x3] = [x1 x2 x3]
[1 0] [ y1 y2 y3] = [-y1 -y2 -y3]
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The general form for rotation is [ cos @ -sin@]
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[ sin@ cos@ ]
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This is obviously too brief a review of a very powerful, but complex technique. Please spend a few minutes with a good text to learn the finer details of the technique.
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