JEE Main 2004Annual, Paper 1MathematicsMediumMatrices and Determinants245× since 2002Let A=(00−10−10−100)A = \left( {\matrix{ 0 & 0 & { - 1} \cr 0 & { - 1} & 0 \cr { - 1} & 0 & 0 \cr } } \right)A=00−10−10−100. The only correct statement about the matrix AAA isAOption A. A2=1{A^2} = 1A2=1BOption B. A=(−1)I,A=(-1)I,A=(−1)I, where III is a unit matrixCOption C. A−1{A^{ - 1}}A−1 does not existDOption D. AAA is a zero matrixCheckSkip · show solution
