document.write( "Question 208676This question is from textbook NewSyllabus Mathematics D book 4
\n" ); document.write( ": What does the question means, 'find the matrix representing the transformation that maps triangle A onto triangle B'. \n" ); document.write( "

Algebra.Com's Answer #157936 by RAY100(1637) $\"\"$ $\"About$

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Matrix transformation,represents a technique that \"maps each point\" into something else. Perhaps a rotation, perhaps a reflection.
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\n" ); document.write( "This is accomplished by multiplying the transformation matrix, by the matrix of the initial figure,
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\n" ); document.write( "if the initial figure is a triangle, it might be represented by, (x1,y1), (x2,y2), and (x3,y3).
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\n" ); document.write( "This might be represented by the matrix, [ x1 x2 x3]
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\n" ); document.write( "To rotate the triangle 90 degrees,
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\n" ); document.write( "[0 -1] [ x1 x2 x3] = [x1 x2 x3]
\n" ); document.write( "[1 0] [ y1 y2 y3] = [-y1 -y2 -y3]
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\n" ); document.write( "The general form for rotation is [ cos @ -sin@]
\n" ); document.write( " ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[ sin@ cos@ ]
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\n" ); document.write( "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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