JEE Main20246 Apr 2024Evening ShiftMathematicsDeterminantsActual
If the system of equations aligned & 2 x+7 y+ z=3 & 3 x+2 y+5 z=4 & x+ y+32 z=-1 aligned has infinitely many solutions, then ( - ) is equal to________
Correct answer
0
Step-by-step solution
aligned & D = D ₁= D ₂= D ₃=0 & D ₃= | array ccc 2 & 7 & 3 3 & 2 & 4 1 & & -1 array |=0 =-39 & D = | array ccc 2 & 7 & 3 & 2 & 5 1 & -39 & 32 array |=0 =-1 & - =38 aligned