If [ array ccc x & -3 i & 1 y & 1 & i 0 & 2 i & -i array ]=6+11 i , then what are the values of x and y respectively?

Step-by-step solution

[ array ccc x & -3 i & 1 y & 1 & i 0 & 2 i & -i array ]=6+11 i aligned & x [- i -(2 i )( i )]- y [(-3 i )(- i )-(2 i )(1)]+0=6+11 i & x (- i +2)- y (-3-2 i )=6+11 i & - xi +2 x +3 y +2 yi =6+11 i & (2 x +3 y )+(- x +2 y ) i =6+11 i & 2 x +3 y =6 and - x +2 y =11 aligned solving the equations aligned & 2 x+3 y=6 2 x+12=6 & 2 x=-6 x=-3 & x=-3, y=4 aligned