Evaluate the determinant.
A) 27
B) -3
C) -27
D) -4
E) 3

Name: Evaluate the determinant. A) 27 B) -3 C) -27 D) -4 E) 3
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Question

Evaluate the determinant. 
A) 27 
B) -3 
C) -27 
D) -4 
E) 3

Quizplus · Accepted Answer

By evaluating the determinant, we get:
|-3 2 -1|
|6 -4 2|
|9 -6 3|
Expanding along the first row, we get:
-3 |2 -1|
    |-4 2| = -3(-4(3)-2(-6)) = -3(-12+12) = 0
     |-6 3|
Hence, the determinant is -3*0 = 0. 
Therefore, the only option that can be correct is C (since all the other options are non-zero).

Evaluate the Determinant