Question 1

Solve the system of equations by graphing. 
A) (-4, 6)
B) (-5, 5)
C) (6, 1)
D) (5, -5)
E) (3, 13)

Accepted Answer

The answer of Solve the system of equations by graphing....

Question 2

Find the determinant of the matrix  .
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the determinant of the matrix ...

Question 3

Evaluate the expression. 
A) 
B) 
C) 
D) 
E) not possible

Accepted Answer

The answer of Evaluate the expression. 
A) 
B) 
C) 
D)...

Question 4

If possible, find AB. 
A) 
B) 
C) 
D) 
E) not possible

Accepted Answer

The answer of If possible, find AB. 
A) 
B) 
C)...

Question 5

Evaluate the expression. 
A) 
B) 
C) 
D) 
E) not possible

Accepted Answer

The answer of Evaluate the expression. 
A) 
B) 
C) 
D)...

Question 6

Solve the system. 
A) 
B) 
C) 
D) 
E) no solution

Accepted Answer

The answer of Solve the system. 
A) 
B) 
C) 
D)...

Question 7

If possible, find 2A - 5B. 
A) 
B) 
C) 
D) 
E) not possible

Accepted Answer

The answer of If possible, find 2A - 5B. 
A)...

Question 8

Find the inverse of the matrix  (if it exists).
A) 
B) 
C) 
D) 
E) does not exist

Accepted Answer

The answer of Find the inverse of the matrix ...

Question 9

Determine whether the matrix is in row-echelon form. If it is, determine if it is also in reduced row-echelon form. 
A) row-echelon form
B) row-echelon form and reduced row-echelon form
C) neither

Accepted Answer

The answer of Determine whether the matrix is in row-echelon...

Question 10

Applying Kirchhoff's Laws to the electrical network in the figure, the currents I₁, I₂, and I₃ are the solution of the system Find the currents. A) B) C) D) E)

Accepted Answer

The answer of Applying Kirchhoff's Laws to the electrical network...

Question 11

Solve for x given the following equation involving a determinant. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve for x given the following equation...

Question 12

Find the equation of the circle  that passes through the points  .
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the equation of the circle ...

Question 13

Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 
A) x = -5, y = -3, z = 2
B) x = 5, y = -3, z = 2
C) x = 5, y = 3, z = 2
D) x = 3, y = -5, z = -2
E) no solution

Accepted Answer

The answer of Use matrices to solve the system of...

Question 14

Find the determinant of  .
A) 14
B) 7
C) 12
D) -8
E) 6

Accepted Answer

The answer of Find the determinant of  .
A) 14
B)...

Question 15

Write the augmented matrix for the system of linear equations. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write the augmented matrix for the system...

Question 16

Determine which ordered pair is a solution of the system. 
A) (-3, 6)
B) (-1, -2)
C) (-2, -1)
D) (1, -2)
E) (6, 3)

Accepted Answer

The answer of Determine which ordered pair is a solution...

Question 17

The currents in an electrical network are given by the solutions of the system where I₁, I₂, and I₃ are measured in amperes. Solve the system of equations using matrices. A) I₁ = 5, I₂ = 8, I₃ = 3 B) I₁ = 5, I₂ = 3, I₃ = 8 C) I₁ = 3, I₂ = 5, I₃ = 9 D) I₁ = 3, I₂ = 5, I₃ = 8 E) no solution

Accepted Answer

The answer of The currents in an electrical network are...

Question 18

Solve the system by substitution, if possible. 
A) (4, 8)
B) (8, 4)
C) (-4, 13)
D) (12, -3)
E) no solutions

Accepted Answer

The answer of Solve the system by substitution, if possible....

Question 19

Determine which ordered pair is a solution of the system. 
A) (8, 1)
B) (-9, 3)
C) (-9,8)
D) (8, -1)
E) (1, -8)

Accepted Answer

The answer of Determine which ordered pair is a solution...

Question 20

Use Cramer's Rule to solve the following system of linear equations: 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use Cramer's Rule to solve the following...

Quiz 8: Linear Systems and Matrices

Solve the system of equations by graphing.

Find the determinant of the matrix .

Evaluate the expression.

If possible, find AB.

Evaluate the expression.

Solve the system.

If possible, find 2A - 5B.

Find the inverse of the matrix (if it exists) .

Determine whether the matrix is in row-echelon form. If it is, determine if it is also in reduced row-echelon form.

Applying Kirchhoff's Laws to the electrical network in the figure, the currents I₁, I₂, and I₃ are the solution of the system Find the currents.

Solve for x given the following equation involving a determinant.

Find the equation of the circle that passes through the points .

Use matrices to solve the system of equations (if possible) . Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

Find the determinant of .

Write the augmented matrix for the system of linear equations.

Determine which ordered pair is a solution of the system.

The currents in an electrical network are given by the solutions of the system where I₁, I₂, and I₃ are measured in amperes. Solve the system of equations using matrices.

Solve the system by substitution, if possible.

Determine which ordered pair is a solution of the system.

Use Cramer's Rule to solve the following system of linear equations:

Quiz 8: Linear Systems and Matrices

Solve the system of equations by graphing.

Find the determinant of the matrix .

Evaluate the expression.

If possible, find AB.

Evaluate the expression.

Solve the system.

If possible, find 2A - 5B.

Find the inverse of the matrix (if it exists) .

Determine whether the matrix is in row-echelon form. If it is, determine if it is also in reduced row-echelon form.

Applying Kirchhoff's Laws to the electrical network in the figure, the currents I1, I2, and I3 are the solution of the system Find the currents.

Solve for x given the following equation involving a determinant.

Find the equation of the circle that passes through the points .

Use matrices to solve the system of equations (if possible) . Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

Find the determinant of .

Write the augmented matrix for the system of linear equations.

Determine which ordered pair is a solution of the system.

The currents in an electrical network are given by the solutions of the system where I1, I2, and I3 are measured in amperes. Solve the system of equations using matrices.

Solve the system by substitution, if possible.

Determine which ordered pair is a solution of the system.

Use Cramer's Rule to solve the following system of linear equations:

Applying Kirchhoff's Laws to the electrical network in the figure, the currents I₁, I₂, and I₃ are the solution of the system Find the currents.

The currents in an electrical network are given by the solutions of the system where I₁, I₂, and I₃ are measured in amperes. Solve the system of equations using matrices.