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    Linear Algebra: Linear Transformations - Rotations

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    Calculate the standard matrix for each of the following linear transformations T.

    a. T: R^2 -> R^2 given by rotating -pi/4 counterclockwise about the origin and then reflecting across the line x_1 - x_2 = 0.

    b. T: R^3 -> R^3 given by rotating pi/2 counterclockwise about the x_1-axis (as viewed from the positive side) and then reflecting across the plane x_2 = 0.

    c. T: R^3 -> R^3 given by rotating -pi/2 counterclockwise about the x_1-axis (as viewed from the positive side) and then rotating pi/2 about the x_3-axis.

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    https://brainmass.com/math/linear-algebra/linear-algebra-linear-transformations-rotations-175275

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    Problem (a)
    By rotating counterclockwise about the origin, we obtain the matrix

    By ...

    Solution Summary

    Linear transformations (rotations) are investigated in this solution, which is provided through step by step explanations in a Word document attached.

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