Question 1

Solve the system.

Accepted Answer

A)     
B)     
C)     
D)     
E)    
A)     
B)     
C)     
D)     
E)

Question 2

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

Accepted Answer

A)  row-echelon form 
B)  row-echelon form and reduced row-echelon form 
C)  neither 
A)  row-echelon form 
B)  row-echelon form and reduced row-echelon form 
C)  neither

Question 3

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

Accepted Answer

A)     
B)     
C)     
D)     
E)  no solution 
A)     
B)     
C)     
D)     
E)  no solution

Question 4

Write the partial fraction decomposition of the rational expression.

Accepted Answer

A)    
B)    
C)    
D)     
E)     
A)    
B)    
C)    
D)     
E)

Question 5

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

Accepted Answer

A)     
B)     
C)     
D)     
E)     
A)     
B)     
C)     
D)     
E)

Solve the system.

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

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

Write the partial fraction decomposition of the rational expression. $Write the partial fraction decomposition of the rational expression.$

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

Matrices

Determinants

Vector Spaces

Inner Product Spaces

Linear Transformations

Eigenvalues Eigenvectors

Filters

Exam 1: Linear Equations

Solve the system.

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

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

Write the partial fraction decomposition of the rational expression.

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

Matrices

Determinants

Vector Spaces

Inner Product Spaces

Linear Transformations

Eigenvalues Eigenvectors

Filters

Write the partial fraction decomposition of the rational expression. $Write the partial fraction decomposition of the rational expression.$