can someone help me with this proof
Question :
$A$ is orthogonal if det $A^TA=1$. show that $A$ is orthogonal if and only if the column vectors of $A$ are orthonormal?
thanks
can someone help me with this proof
Question :
$A$ is orthogonal if det $A^TA=1$. show that $A$ is orthogonal if and only if the column vectors of $A$ are orthonormal?
thanks
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Hint: take $AA^T$ and think to matrix multiplication