Linear Systems Matrices

Which of these matrices are in row echelon form?

• (a) only

• (b) only

• (a) and (d)

• (a) , (b), and (d)

The augmented matrix shown in row-echelon form indicates a system with

• one solution

• no solution

• infinitely many solutions

What is the determinant of this matrix?

• -2

• 2

• 10

• 24

What is the determinant of this matrix?

• 0

• 24

• -24

• -12

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Multiply

• 20     15    -10
  30     -5         0

• -20      15     -10
  30     -5          0

• 1        8       3
  11     4        5

• 20     -15     10
  -30         5        0  

Solve the system of equations: 

• ( -2, 4, 3)

• ( 2, 1, 6)

• No solution

• None of these

Solve the system of equations: 

• ( -2, 3, -3)

• None of these

• ( -2, -3, 3)

• ( -3, 3, -2)

Solve the system of equations: 

• ( 5, 1, -4)

• (-5, 3, -1)

• None of these

• ( -1, 5, -4)

Solve the system of equations:
x + y + z = 4
x = -2y
z = -3y

• (2, -1, 3)

• (2, 3, 1)

• None of these

• (4, 1, -1)