Question

m 4 of 8 b la If Id g latd bte ctf -d -e -f g h ET f = -6, evaluate the determinant e h (A) 6 (B) -6 (C) -12 (D) 18

Answer 1

When a row of a determinant multiply by a constant,then determinant is also get multiplied by the same constant.

if one multiply of a row is added to another row ,then determinant will not change

given

$\large \begin{vmatrix} a&b&c\\d&e&f\\g&h&i \end{vmatrix}=-6$

add 2nd row to first row . This will not change determinant. So

a + d bte c+f d f 9 h e -6 i

multiply second row by -1 . Then determinant is also get multiplied by -1 . So

$\large \begin{vmatrix} a+d&b+e&c+f\\-d&-e&-f\\g&h&i \end{vmatrix}=6$

so answer is 6

option A