Let \(A = \left( \begin{matrix} a & b & c \\ b & c & a \\ c & a & b \end{matrix} \right)\) be a matrix where \(a, b, c\) are complex numbers. If \(abc = 1\) and \(A^T A = I\), what is the value of \(a^3 + b^3 + c^3\)?

**Clarification**: \(A^T\) is the transpose of \(A\). \(I\) is the identity matrix of order \(3 \times 3\).

×

Problem Loading...

Note Loading...

Set Loading...