6
lesson pretestMultiple Choice

Pretest

Question 6 • Advanced Algebra: Concepts and Connections

What is the determinant of the coefficient matrix of the system? negative x minus y minus z is equal to negative 3 negative x minus y minus z is equal to 8 3 x plus 2 y plus z is equal to 0

Answer
A
55
B
0
C
negative 11
D
negative 2

Explanation

The coefficient matrix is [−1, −1, −1; −1, −1, −1; 3, 2, 1]. Its first two rows are identical, so its determinant is 0. Therefore, the correct choice is B, 0.

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