AP EAMCET202123 Aug 2021Morning ShiftMathematicsMatricesActual
[ array ccc 1 & 2 & 3 -1 & 1 & 2 3 & 0 & 2 array ] | array ll 2022 & 2024 2021 & 2023 array | is equal to
Options
- A[ array ccc 8 & 4 & 11 4 & -1 & 3 9 & 6 & 13 array ]
- B[ array ccc 8 & 4 & 13 4 & -1 & 3 9 & 6 & 12 array ]
- C[ array ccc 8 & 4 & 13 4 & -1 & 3 9 & 6 & 13 array ]
- D[ array lll 8 & 4 & 11 4 & 1 & 13 9 & 6 & 13 array ]
Correct answer
C. [ array ccc 8 & 4 & 13 4 & -1 & 3 9 & 6 & 13 array ]
Step-by-step solution
Let aligned & A^ |B| = [ array ccc 1 & 2 & 3 -1 & 1 & 2 3 & 0 & 2 array ]₂₀₂₁²⁰²² , where & A= [ array ccc 1 & 2 & 3 -1 & 1 & 2 3 & 0 & 2 array ], B= [ array cc 2022 & 2024 2021 & 2023 array ] & aligned Then, |B|= | array ll 2022 & 2024 2021 & 2023 array |==2 A^ |B| =A^2 A^2= [ array ccc 1 & 2 & 3 -1 & 1 & 2 3 & 0 & 2 array ] [ array ccc 1 & 2 & 3 -1 & 1 & 2 3 & 0 & 2 array ]= [ array ccc 8 & 4 & 13 4 & -1 & 3 9 & 6 & 13 array ]