Let X= [ array l a b c array ], A = [ array ccc 1 & -1 & 2 2 & 0 & 1 3 & 2 & 1 array ] and B = [ array l 3 1 4 array ] . If A X=B , then the value of 2 a-3 b+4 c will be

Step-by-step solution

aligned & AX = B & [ array ccc 1 & -1 & 2 2 & 0 & 1 3 & 2 & 1 array ] [ array l a b c array ]= [ array l 3 1 4 array ] aligned array ll & a-b+2 c=3 ...(i) & 2 a+c=1...(ii) & 3 a+2 b+c=4 ...(iii) array Solving (i), (ii) and (iii), we get aligned & a=-1, b=2, c=3 2 a-3 b+4 c & =2(-1)-3(2)+4(3) & =4 aligned