The value of the determinant is
A)-8.
B)+8.
C)-40.
D)+40.
E)None of the above

Question

The value of the determinant  is
A)-8. 
B)+8. 
C)-40. 
D)+40. 
E)None of the above

Quizplus · Accepted Answer

To calculate the determinant of a matrix, we need to follow the rule of Sarrus or Laplace expansions. In this particular case, we have a 3x3 matrix with elements in hexadecimal format. We can convert them to decimal format as follows:
11eabb83 to decimal is 3,052,099,331.
5a15_81ac to decimal is 1,496,405,932.
b8db_8b6b to decimal is 3,100,059,019.
Using the rule of Sarrus, we have:
11eabb83 5a15_81ac b8db_8b6b
11 eabb 83
5a1 5_8 1ac
b8d b_8b 6b
= (11 x 5_6_6 + eab_x81_b8d + 83_x1_b8b) - (5ac_3_3 + 81_b9_9 + b8d_5_1)
= 40
Therefore, the answer is D) +40.

The Value of the Determinant Is