Given a matrix `A=[a b c b c a c a b],w h e r ea ,b ,c` are real positive numbers `a b c=1a n dA^T A=I ,` then find the value of `a^3+b^3+c^3dot`

Explanation

To solve the problem step by step, we start with the given matrix \( A \) and the conditions provided.

### Step 1: Write the Matrix
The matrix \( A \) is given as:
\[
A = \begin{bmatrix}
a & b & c \\
b & c & a \\
...