Linear shoot --- Introduction ---

This is a visual exercise on the linear transformation in dimension 2: let M=(a b c d ) be a 2×2 matrix. Then M corresponds to a linear transformation of 2: for any point p=(x y) 2, the image of p by the linear transformation is the point q=Mp=(ax+by cx+dy).

Now the exercise gives you the matrix M , numerically described, as well as a figure representing the point p in the cartesian plane. You are simply asked to click (shoot) on where you think is the position of the image point q. At the end of a session composed of several shots, you will be given a score computed according to the average precision of your shots during the session.

Choose a level of difficulty : 1 , 2 , 3 , 4 , 5 , 6 , 7 .

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Description: click on the image of a point by a linear transformation. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, nice sophia antipolis university, algebra, linear_algebra, linear_maps, matrix, vector_space