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Let R=\left(\beginarraycccx & 0 & 0 \\ 0 & y & 0 \\ 0 & 0 & z\endarray\right) be a non-zero 3 * 3 matrix, where x \sin θ=y \sin \left(θ+2 π/3\right)=z \sin \left(θ+4 π/3\right) \neq 0, θ \in(0,2 π). For a square matrix M, let trace (M) denote the sum of all the diagonal entries of M. Then, among ... | Watch the step-by-step video solution for this NIMCET PYQ.