Answer:
-276
Explanation:
We'll use the method of cofactors. Use the coefficient +6 for
9 2
8 10
This 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 10
Finally with +2 as y our coefficient, evaluate the cofactor
9 1
9 2
ending up with
+2(18-9) = +2(9) = 18
Finally add these three results together:
+444 - 738 + 18 = -276
This, the determinant, D, is -276 (the fourth answer choice)