Find the determinant of the matrix.| 6 9 1 || 9 9 2 || 2 8 10 ∣D = -277D = -278D = -279D = -276D = -272

Answer:-276Step-by-step explanation:We'll use the method of cofactors.  Use the coefficient +6 for 9   28   10This gives you one third of the solution:  6 {(9)·(10) - (8)(2) },  or 444.Next, use the coefficient 9, taking care to change the sign to -9  as follows:      9   1-9 |           |     =   -9(90 - 8) = -9(82) = -738         8  10Finally with +2 as y our coefficient, evaluate the cofactor9  19  2ending up with  +2(18-9) = +2(9) = 18Finally add these three results together:+444 - 738 + 18  =  -276This, the determinant, D, is -276 (the fourth answer choice)