JEE Main 2006Annual, Paper 1MathematicsEasyMatrices and Determinants245× since 2002If AAA and BBB are square matrices of size n × nn\, \times \,nn×n such that A2−B2=(A−B)(A+B),{A^2} - {B^2} = \left( {A - B} \right)\left( {A + B} \right),A2−B2=(A−B)(A+B), then which of the following will be always true?AOption A. A=BA=BA=BBOption B. AB=BAAB=BAAB=BACOption C. either of AAA or BBB is a zero matrixDOption D. either of AAA or BBB is identity matrixCheckSkip · show solution
