If `A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l,` then find the value of `a^(3)+b^(3)+c^(3).`

Explanation

To solve the problem, we need to find the value of \( a^3 + b^3 + c^3 \) given the matrix \( A \) and the conditions provided. Let's go through the steps systematically.

### Step-by-Step Solution

1. **Given Information**: We have the matrix
\[
A = \begin{pmatrix}
a & b & c \\
...