Question: Problem 5. (3 points) Consider the square in R2 with corners at (-1,-1), (-1.1). (1,-1), and (1, 1). There are eight symmetries of the

Problem 5. (3 points) Consider the square in R2 with corners at

Problem 5. (3 points) Consider the square in R2 with corners at (-1,-1), (-1.1). (1,-1), and (1, 1). There are eight symmetries of the square, in- cluding four reflections, three rotations, and one "identity" symmetry. Write down the matrix associated to each of these symmetries (with respect to the standard basis).

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