Determine the standard matrix A

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The game of TETRIS is a tile matching video game that involves rotating and translating random "falling" pieces to form rows at the bottom of the playing area. As solid horizontal rows are formed, the rows disappear and points are scored. Consider the movement of the 'T' piece in the graph provided (the solid line is its starting position and the dashed line is its finishing position). (5,5) (3,3) (5,3) (5,1) a. To move the piece from its starting position to its finishing position it could be reflected over the y-axis and then rotated 90 counter-clockwise. Determine: i. the standard matrix A for the reflection over the y-axis. ii. the standard matrix B for the rotation 90 counter-clockwise. iii. the standard matrix C representing this composition of geometrical transformations. b. Determine the 'T' piece's final position by applying the linear operator with the standard matrix C to the center (written as a column vector) of each tile's starting point (as labelled on the graph). c [2 ] co co "[3]= [;]