If p, q, r are 3 real numbers satisfying the matrix equation, [p q r] [ array lll 3 & 4 & 1 3 & 2 & 3 2 & 0 & 2 array ]= [ array lll 3 & 0 & 1 array ] then 2 p+q-r equals :

Step-by-step solution

Given aligned & [ array lll p & q & r array ] [ array lll 3 & 4 & 1 3 & 2 & 3 2 & 0 & 2 array ]= [ array lll 3 & 0 & 1 array ] & [ array lll 3 p+3 q+2 r & 4 p+2 q & p+3 q+2 r array ]= [ array lll 3 & 0 & 1 array ] & 3 p+3 q+2 r=3 & 4 p+2 q=0 q=-2 p & p+3 q+2 r=1 & aligned p=1, q=-2, r=3 2 p+q-r=2(1)+(-2)-(3)=-3 .