AP EAMCET202318 May 2023Evening ShiftMathematicsMatricesActual
If A+2 B= ( array ccc 1 & 2 & 0 6 & -3 & 3 -5 & 3 & 1 array ) and 2 A-B= ( array ccc 2 & -1 & 5 2 & -1 & 6 0 & 1 & 2 array ) then Tr [ A ]- Tr [ B ]=
Options
- A1
- B2
- C3
- D4
Correct answer
B. 2
Step-by-step solution
aligned & A +2 ~B = ( array ccc 1 & 2 & 0 6 & -3 & 3 -5 & 3 & 1 array ) ; 2 ~A - B = ( array ccc 2 & -1 & 5 2 & -1 & 6 0 & 1 & 2 array ) & Now, ( A +2 ~B )+2(2 ~A - B )= & ( array ccc 1 & 2 & 0 6 & -3 & 3 -5 & 3 & 1 array )+2 ( array ccc 2 & -1 & 5 2 & -1 & 6 0 & 1 & 2 array ) & 5 A= ( array ccc 5 & 0 & 10 10 & -5 & 15 -5 & 5 & 5 array ) & A= ( array ccc 1 & 0 & 2 2 & -1 & 3 -1 & 1 & 1 array ) & A+2 B= ( array ccc 1 & 2 & 0 6 & -3 & 3 -5 & 3 & 1 array ) ( array ccc 1 & 0 & 2 2 & -1 & 3 -1 & 1 & 1 array )+2 B & = (