Question 1

Accepted Answer

A)   
B)   
C)   
D)    B

Question 2

Accepted Answer

A)   
B)   
C)   
D)    D

Question 3

Solve the system mentally, without the use of a calculator or pencil-and-paper calculation. Try to visualize the graphs of both lines:
-

Accepted Answer

A)   x = 5; y = -8
B)   x = 3, y = 7
C)   x = -5; y = 8
D)   x = 5; y = 4 A

Question 4

Write the linear system corresponding to the reduced augmented matrix:
-

Accepted Answer

A)   
B)   No Solution
C)   
D)

Question 5

User row operations to change the matrix to reduced form:
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Use the matrix method on a graphing calculator to solve the system  Carry values to two decimal places.

Accepted Answer

The answer of Use the matrix method on a graphing...

Question 7

State whether the matrix is in reduced form or not in reduced form:
-

Accepted Answer

A)   Reduced Form
B)   Not Reduced Form

Question 8

Perform the operation, if possible:
-

Accepted Answer

A)   
B)   
C)   
D)

Question 9

Solve the linear system corresponding to the following augmented matrix:

Accepted Answer

The answer of Solve the linear system corresponding to the...

Question 10

The system cannot be solved by matrix inverse methods. Find a method that could be used and then solve the system:
-

Accepted Answer

A)   No Solution
B)   
C)   
D)

Question 11

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Solve the system of equations by elimination:
-

Accepted Answer

A)   (1 , - 7) 
B)   (1, - 8) 
C)   (7, 0 ) 
D)   (0, - 7)

Question 13

Given the technology matrix M and the final demand matrix D stated below, find  and find the output matrix X.

Accepted Answer

The answer of Given the technology matrix M and the...

Question 14

Perform the indicated operations given the matrices:
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Solve the matrix equation  
by using the inverse of the coefficient matrix. Also, solve the system if the constants 25 and -11 are replaced by 1 and 3, respectively.

Accepted Answer

The answer of Solve the matrix equation  
by using...

Question 16

Determine the value of each variable.

Accepted Answer

A)   
B)   
C)   
D)

Question 17

Given A =  , B =  , C =  , and D =  , determine which of the following products is NOT defined.

Accepted Answer

A)   DB
B)   BC
C)   AD
D)   DA

Question 18

Solve the system of equations by elimination:
-

Accepted Answer

The answer of Solve the system of equations by elimination:
-...

Question 19

Solve the system of equations by graphing:
-

Accepted Answer

A)   ( -1, -3) 
B)   ( 1, 3) 
C)   ( 3, 1) 
D)   no solution

Question 20

Write a system of equations associated with the augmented matrix. Do not try to solve:
-

Accepted Answer

A)   
B)   
C)

Exam 4: Systems of Linear Equations; Matrices

Solve the system mentally, without the use of a calculator or pencil-and-paper calculation. Try to visualize the graphs of both lines: -

Write the linear system corresponding to the reduced augmented matrix: -

User row operations to change the matrix to reduced form: -

Use the matrix method on a graphing calculator to solve the system Carry values to two decimal places.

State whether the matrix is in reduced form or not in reduced form: -

Perform the operation, if possible: -

Solve the linear system corresponding to the following augmented matrix:

The system cannot be solved by matrix inverse methods. Find a method that could be used and then solve the system: -

Solve the system of equations by elimination: -

Given the technology matrix M and the final demand matrix D stated below, find and find the output matrix X.

Perform the indicated operations given the matrices: -

Solve the matrix equation by using the inverse of the coefficient matrix. Also, solve the system if the constants 25 and -11 are replaced by 1 and 3, respectively.

Determine the value of each variable.

Given A = , B = , C = , and D = , determine which of the following products is NOT defined.

Solve the system of equations by elimination: -

Solve the system of equations by graphing: -

Write a system of equations associated with the augmented matrix. Do not try to solve: -