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A^T= A^-1, where A is a real matrix, then A is?
A^T= A^-1, where A is a real matrix, then A is?
Normal
Orthogonal
Symmetric
None of these
Explanation
A matrix
A
A
is
orthogonal
if
A
T
=
A
−
1
A^T = A^{-1}
, meaning its transpose is equal to its inverse.
This property ensures that the
matrix preserves length and angles under transformation.