MathematicsEasy244×since 2002Q4515Let AAA be a square matrix all of whose entries are integers. Then which one of the following is true?AIf det A=±1,A = \pm 1,A=±1, then A−1{A^{ - 1}}A−1 exists but all its entries are not necessarily integersBIf det A≠±1,A \ne \pm 1,A=±1, then A−1{A^{ - 1}}A−1 exists and all its entries are non integersCIf det A=±1,A = \pm 1,A=±1, then A−1{A^{ - 1}}A−1 exists but all its entries are integersDIf det A=±1,A = \pm 1,A=±1, then A−1{A^{ - 1}}A−1 need not existsCheck answerSkip