With reference to Eq. (7.12), show by calculation that the similarity transformation of matrix (V) by (U_{y}(beta))

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With reference to Eq. (7.12), show by calculation that the similarity transformation of matrix $V$ by $U_{y}(\beta)$ generates the rotation matrix $R(\beta, y)$.

Equation 7.12

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With reference to Eq. (7.12), show by calculation that the similarity transformation of matrix (V) by (U_{y}(beta))

Question:

OS (2) - sin Uy (B) = sin (2) COS OS (2) (7.12) cos B 0 sin B R(, y) = 0 - sin B 1 0 0 cos B)

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An Introduction To Groups And Their Matrices For Science Students

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