Question: 2. [10 points] (a) Find a formula in coordinates for the product of the three reflections in co- ordinate planes. (b) Consider the linear map

2. [10 points] (a) Find a formula in coordinates for the product of the three reflections in co- ordinate planes. (b) Consider the linear map L: IRS -> R defined by the matrix O 0 The linear map L is an isometry. Describe how this isometry fits into the classification of isometries of 13-whether it is a reflection, rotation, twist, etc. and what the relevant planes, translation vectors, and rotation axes & angles are

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