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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

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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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