JEE Main 202429 Jan, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002Let A\mathrm{A}A be a square matrix such that AAT=I\mathrm{AA}^{\mathrm{T}}=\mathrm{I}AAT=I. Then 12A[(A+AT)2+(A−AT)2]\frac{1}{2} A\left[\left(A+A^T\right)^2+\left(A-A^T\right)^2\right]21A[(A+AT)2+(A−AT)2] is equal toAOption A. A2+AT\mathrm{A}^2+\mathrm{A}^{\mathrm{T}}A2+ATBOption B. A3+I\mathrm{A}^3+\mathrm{I}A3+ICOption C. A3+AT\mathrm{A}^3+\mathrm{A}^{\mathrm{T}}A3+ATDOption D. A2+I\mathrm{A}^2+\mathrm{I}A2+ICheckSkip · show solution
