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Let T1 : R2 → R2 and T2 : R2 → R2 be the matrix transformations induced by the matrices M1 and M2 respectively, where

M1= -1 0 and M2= 0 -1
0 1 -1 0

Find the general formula for the transformations T1 and T2, and determine the geometric meaning of T1 and T2.

Find the matrix of the composition T3 = T2 ◦ T1, and determine the geometric meaning of the transformation T3.

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The expert finds the matrix of the composition in the problem.

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When we multiply a two-dimensional coordinate vector by the transformation matrix M1 we get:

The equations for the transformation are:

Geometrically it looks like:

This is a reflection about the y-axis

When we multiply a two-dimensional coordinate vector by the ...

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