let-A-0-m-m-2-1-m-0-m-1-m-2-1-m-0-A-M-3-R-and-m-not-0-1-find-relation-betwen-I-3-A-and-A-2-2-is-A-inversible-dete

Question Number 50366 by prof Abdo imad last updated on 16/Dec/18

l e t A = (\begin{matrix} 0 m m^{2} \\ \frac{1}{m} 0 m \end{matrix})

(\frac{1}{m^{2}} \frac{1}{m} 0)

A \in M_{3} (R) a n d m n o t 0

1) f i n d r e l a t i o n b e t w e n I_{3}, A a n d A^{2}

2) i s A i n v e r s i b l e . d e t e r m i n e A^{- 1} i n c a s e o f e x i s t

3) f i n d t h e p r o p e r s v a l u e s o f A .