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If \( D_{1} \) and \( D_{2} \) are two \( 3 \times 3 \) diagonal matrices where none of the diagonal element is zero, then -
(A) \( \mathrm{D}_{1} \mathrm{D}_{2} \) is a diagonal matrix
(B) \( \mathrm{D}_{1} \mathrm{D}_{2}=\mathrm{D}_{2} \mathrm{D}_{1} \)
\( \mathrm{P} \)
(C) \( \mathrm{D}_{1}^{2}+\mathrm{D}_{2}^{2} \) is a diagonal matrix
(D) none of these
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