Question: Find the standard matrix for the linear operator T: R3 R3 that (a) Rotates each vector 90 counterclockwise about the z-axis (looking along the

Find the standard matrix for the linear operator T: R3 → R3 that
(a) Rotates each vector 90° counterclockwise about the z-axis (looking along the positive z axis toward the origin)
(b) Rotates each vector 90° counterclockwise about the y-axis (looking along the positive j axis toward the origin)

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