4. Given A=[01​10​] and B=[−10​0−1​], what transformations are induced by A,B,AB, and BA. And what are the resultant tra

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4 Given A 01 10 And B 10 0 1 What Transformations Are Induced By A B Ab And Ba And What Are The Resultant Tra 1 (32.84 KiB) Viewed 55 times

4. Given A=[01​10​] and B=[−10​0−1​], what transformations are induced by A,B,AB, and BA. And what are the resultant transformations of TA​∘TB​ and TB​∘TA​ ? You are expected to show a separate diagram of the unit square being transformed for each of these (6 diagrams in total). Label the vertices of the unit square and where the unit square is moved to appropriately to show the movement in each case. State the specific rotation or reflection for each. For both TA​∘TB​ and TB​∘TA​ (2 separate diagrams), you are expected to show the original unit square and then two more squares, labeled aptly for each subsequent transformation. Confirm or deny whether TA​∘TB​ equals TAB​ and/or whether TB​∘TA​ equals TBA​