The matrices R = [[cos(theta), -sin(theta)], [sin(theta), cos(theta)]] and D =…

GATE · 1996 · CS · Question 2 subpartsModified — slightly modified from the official paper; see the solution

The matrices R = [[cos(theta), -sin(theta)], [sin(theta), cos(theta)]] and D = [[a, 0], [0, b]] commute under multiplication

  1. A.

    if a = b or theta = n*pi, where n is an integer

  2. B.

    always

  3. C.

    never

  4. D.

    if a cos(theta) = b sin(theta)

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