[Rotations in R^3 ] Consider R∶ R^3 → R^3 the linear transformation that rotates π/3 around the z-axis

Consider R? R^3 ? R^3 the linear transformation that rotates ?/3 around the z-axis

1)Calculate the matrix representation of R in the canonical basis of R^3
2)What are the eigenvalues and eigenvectors of R?
3)Is R diagonalizable?

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