Find the standard matrix for the operator T : R3 R3 that (a) rotates each vector 30
Chapter 4, Problem 31(choose chapter or problem)
Find the standard matrix for the operator T : R3 R3 that (a) rotates each vector 30 counterclockwise about the z-axis (looking along the positive z-axis toward the origin). (b) rotates each vector 45 counterclockwise about the x-axis (looking along the positive x-axis toward the origin). (c) rotates each vector 90 counterclockwise about the y-axis (looking along the positive y-axis toward the origin).
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