Consider the following in respect of the Matrix A= [ array lll 1 & 1 & 1 1 & 1 & 1 1 & 1 & 1 array ] 1. Inverse of A does not exist 2. A^3=A 3. 3 A=A^2 Which of the above are correct?

Step-by-step solution

|A|=0 , So inverse of A does not exist. aligned & A^2= | array lll 1 & 1 & 1 1 & 1 & 1 1 & 1 & 1 array | | array lll 1 & 1 & 1 1 & 1 & 1 1 & 1 & 1 array |= | array lll 3 & 3 & 3 3 & 3 & 3 3 & 3 & 3 array |=3 A & A^3=9 A . aligned