# SOLUTION: What does the question means, 'find the matrix representing the transformation that maps triangle A onto triangle B'.

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 Algebra: Matrices, determinant, Cramer rule Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Matrices-and-determiminant 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. . This is accomplished by multiplying the transformation matrix, by the matrix of the initial figure, . if the initial figure is a triangle, it might be represented by, (x1,y1), (x2,y2), and (x3,y3). . This might be represented by the matrix, [ x1 x2 x3] ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[ y1 y2 y3] . To rotate the triangle 90 degrees, . [0 -1] [ x1 x2 x3] = [x1 x2 x3] [1 0] [ y1 y2 y3] = [-y1 -y2 -y3] . The general form for rotation is [ cos @ -sin@] ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[ sin@ cos@ ] . 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. .