AP EAMCET20225 Jul 2022Evening ShiftMathematicsDeterminantsActual
If b and c are non zero real numbers, A = [ array lll 1 & b & c b & 2 & 3 c & 3 & 4 array ]= [ array ccc 0 & b & c -b & 0 & 2 -c & -2 & 0 array ] and B then det ( A + B )=
Options
- A3
- B1
- C-1
- D0
Correct answer
A. 3
Step-by-step solution
A + B = [ array lll 1 & b & c b & 2 & 3 c & 3 & 4 array ]+ [ array ccc 0 & b & c -b & 0 & 2 -c & -2 & 0 array ]= [ array ccc 1 & 2 b & 2 c 0 & 2 & 5 0 & 1 & 4 array ] det (A+B)= [ array ccc 1 & 2 b & 2 c 0 & 2 & 5 0 & 1 & 4 array ]=1(4(2)-5(1))=3