Determinants

Question 1

What is the determinant of ?

Revolt · Accepted Answer

15

Question 2

What is the determinant of an identity matrix?

Revolt · Accepted Answer

1

Question 3

Given the system , which is true?

Revolt · Accepted Answer

The system has exactly one solution.

Question 4

What is the determinant of ?

Revolt · Accepted Answer

–51

Question 5

Given the system , which is true?

Revolt · Accepted Answer

The system has exactly one solution.

Question 6

What is the area of a triangle with vertices at (–2, –1), (4, –1), (6, 5)?

Revolt · Accepted Answer

18 square units

Question 7

What is the area of a parallelogram formed by = and = ?

Revolt · Accepted Answer

16 square units

Question 8

What is the determinant of the coefficient matrix of the system ?

Revolt · Accepted Answer

0

Question 9

What is the determinant of ?

Revolt · Accepted Answer

–14

Question 10

What is the volume of the parallelepiped determined by the vectors a = , b = , and c = ?

Revolt · Accepted Answer

4 cubic units

Determinants Answers