Question

If A = ${\displaystyle \left[\begin{array}{ccc}0& 0& 1\\ 0& 1& 0\\ 1& 0& 0\end{array}\right]}$, then A²⁰⁰⁸ is equal to ______.

विकल्प

• A

• A^–1

• I₃

• 0

Answer 1

If A = ${\displaystyle \left[\begin{array}{ccc}0& 0& 1\\ 0& 1& 0\\ 1& 0& 0\end{array}\right]}$, then A²⁰⁰⁸ is equal to I₃.

Explanation:

A² = ${\displaystyle \left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right]}$ = I₃