JEE Main 2008Annual, Paper 1MathematicsEasyMatrices and Determinants245× since 2002Let AAA be a square matrix all of whose entries are integers. Then which one of the following is true?AOption A. If det A=±1,A = \pm 1,A=±1, then A−1{A^{ - 1}}A−1 exists but all its entries are not necessarily integersBOption B. If det A≠±1,A \ne \pm 1,A=±1, then A−1{A^{ - 1}}A−1 exists and all its entries are non integersCOption C. If det A=±1,A = \pm 1,A=±1, then A−1{A^{ - 1}}A−1 exists but all its entries are integersDOption D. If det A=±1,A = \pm 1,A=±1, then A−1{A^{ - 1}}A−1 need not existsCheckSkip · show solution
