A rectangular x y z -coordinate system is obtained by rotating an xyz-coordinate system

Chapter 7, Problem 18

(choose chapter or problem)

A rectangular x y z -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 x y z = A x y z where (x, y, z) and (x , y , z ) are the coordinates of the same point in the xyz- and x y z -systems, respectively

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