Let A= ( array rrr 0 & 0 & -1 0 & -1 & 0 -1 & 0 & 0 array ) , the only correct statement…

Mathematics · JEE Main · NTA ExamsMatrices and Determinants

Let \[A=\left(\begin{array}{rrr} 0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0 \end{array}\right)\], the only correct statement about the matrix A is
  1. A is a zero matrix
  2. A = (-1)I, where I is a unit matrix
  3. A-1 does not exist
  4. A2 = I

Answer

(D) A 2 = I

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