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given matrix A and its transpose $A^{T}$
ans asking about product of (A*$A^{T}$)
ans will be D only when if the matrix obtained by multiplication of (A*$A^{T}$) obey symetric property.
so let check..
symentric property iff $B^{T}$=B
now for (A*$A^{T}$) ?
same as matrix B
$(A*A^{T})^{T}$ must be $(A*A^{T})$ then symmetry
$(A*A^{T})^{T}$ equivalent to $((A^{T})^{T}*A^{T})=(A*A^{T})$
so it is symmetry
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