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[HELP] Linear Algebra - Triangle Transformation in R2


Wesyu

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Find a 2x2 matrix A and a vector v in R2 such that the transforma-

tion x --> Ax + v maps the triangle with vertices (1, 1); (2, -1);

(3, 4) into the triangle with vertices (0, 0); (1, 0); (0, 1). How

many different pairs (A, v) will do the job?

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If I see it correctly, the number of possible solutions should become obvious when you solve the problem as you get a system of linear equations with six real-valued unknowns (four in A and two in v) and six equations (one for each coordinate mapped).

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