A real matrix 𝐴 is orthogonal if:𝐴𝑇𝐴=𝐼or equivalently𝐴𝑇=𝐴−1 Symmetric means 𝐴𝑇=𝐴which is not necessarily true here. Normal matrices satisfy AAT=ATA, which is a more general condition; orthogonal matrices are a special case of normal matrices. Since the given condition matches the definition of an orthogonal matrix, the correct answer is Orthogonal.
A^T= A^-1, where A is a real matrix, then A is?
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