Please solve this discrete math problem

(11 (a) Write down the 2 x 2 matrices that represent the following linear transformations of the plane. Specify for each transformation which points the points (1,0) and (0, 1) map to. Also make reasonably accurate drawings (by hand or using MATLAB) of the image of the (rst quadrant) unit square D1 under each transformation. You may use the MATLAB program given in Example 6.3 of the Unit Notes to create or check your drawings, which you can copy from the file lintran.m (available on the LMS). Also answer the questions. 1. A vertical shear T1 with shear factor 1. 2. The transformation T2 that maps point (0, 1) to (1/\\/, 1/\\/) and (1, 0) to (1/x/, 1/ ) (see footnote'). Is this transformation a simple reflection or a simple rotation? 3. The transformation T3 given by T3 (x,y) 2 G1: + 3?}; %x JQ31). Is this transforma- tion a mirror reection? If so, what is the reection line? (b) Create four diagrams that show the geometric transformation of the unit square D1 when applying the following transformations to it: T1, T2, T1 followed by T2, and T2 followed by T1. (c) Compute A1A2 and A2A1. Do the matrices A1 and A2 commute and is this in line with the result of part b