(a) A rectangular -coordinate system is obtained by rotating an xyz-coordinate system

Chapter 7, Problem 11

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(a) A rectangular -coordinate system is obtained by rotating an xyz-coordinate system counterclockwise about the y-axis through an angle (looking along the positive y-axis toward the origin). Find a matrix A such that where and are the coordinates of the same point in the - and -systems, respectively. (b) Repeat part (a) for a rotation about the x-axis.

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