Question: Find a matrix representation for the following linear transformations on R3: (a) A counterclockwise rotation by 90 around the 2-axis. (b) A clockwise rotation by

Find a matrix representation for the following linear transformations on R3:
(a) A counterclockwise rotation by 90° around the 2-axis.
(b) A clockwise rotation by 60° around the x-axis.
(c) Reflection through the (x, y)-plane.
(d) Counterclockwise rotation by 120° around the line x = y = z.
(e) Rotation by 180° around the line x = y = z.
(f) Orthogonal projection onto the (x, y) plane.
(g) Orthogonal projection onto the plane x - y + 2z = 0.

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