| array ccc ( + ) & - ( + ) & 2 & & - & & array | is independent of

Step-by-step solution

Apply C₁ C₁ + C₂ and C₂ -C₁ + C₂ : = vmatrix ( +2 ) & - ( +2 ) & 2 ( + ) & ( + ) & - ( + ) & ( + ) & vmatrix Expanding along first row: = ( +2 )[ ( + ) - ( + ) ] + ( +2 )[ ( + ) + ( + ) ] + 2 [ ^2( + ) + ^2( + )] = ( +2 ) ( +2 ) + ( +2 ) ( +2 ) + 2 = ^2( +2 ) + ^2( +2 ) + 2 = 1 + 2 Result depends on but is independent of .