Question 1

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

Accepted Answer

A)  Not Reduced Form 
B)  Reduced Form 
A)  Not Reduced Form 
B)  Reduced Form

Question 2

A retail company offers, through two different stores in a city, three models, A, B, and C, of a particular brand of camping stove. The inventory of each model on hand in each store is summarized in matrix M. Wholesale (W) and retail (R) prices of each model are summarized in matrix M. Find the product MN and label its columns and rows appropriately. What is the wholesale value of the inventory in Store 1?

Accepted Answer

The answer of A retail company offers, through two different...

Question 3

Labor and material costs for manufacturing each of three types of products M, N, and P are given in the table:ProductMNPLabor$50$40$50Materials$60$40$70The weekly allocation for labor is $50,000 and for materials is $80,000. There are to be 3 times as many units of product M manufactured as units of product P. How many of each type of product would be manufactured each week to use exactly each of the weekly allocations? Set up a system of linear equations, letting   ,   , and   be the number of units of products M, N, and P, respectively, manufactured in one week.

Accepted Answer

The answer of Labor and material costs for manufacturing each...

Question 4

Determine whether B is the inverse of A:
-

Accepted Answer

A) True 
 B)False

Question 5

If $9,000 is to be invested, part at 13% and the rest at 8% simple interest, how much should be invested at each rate so that the total annual return will be the same as $9,000 invested at 9%? Set up a system of linear equations, letting   be the amount invested at 13% and   be the amount invested at 8%.

Accepted Answer

The answer of If $9,000 is to be invested, part...

Question 6

Solve using Gauss-Jordan elimination:
-

Accepted Answer

A)  ( -2, 9) 
B)    
C)  ( -1, -1) 
D)  No solution 
A)  ( -2, 9) 
B)    
C)  ( -1, -1) 
D)  No solution

Question 7

Solve the system of equations by graphing:
-

Accepted Answer

A)  ( -2, -3) 
B)  ( -3, -2) 
C)  ( 3, 2) 
D)  no solution 
A)  ( -2, -3) 
B)  ( -3, -2) 
C)  ( 3, 2) 
D)  no solution

Question 8

Solve the system of equations by elimination:
-

Accepted Answer

A)  ( -6, 0) 
B)  (0, 6) 
C)  (6, 0) 
D)  (0, -6) 
A)  ( -6, 0) 
B)  (0, 6) 
C)  (6, 0) 
D)  (0, -6)

Question 9

Use the augmented matrix to solve the system:

Accepted Answer

A)  (-0.1, -0.5) 
B)  (-5, -1) 
C)  (0, 0) 
D)  (-1, -5) 
A)  (-0.1, -0.5) 
B)  (-5, -1) 
C)  (0, 0) 
D)  (-1, -5)

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)    
B)  No Solution 
C)    
D)    
A)    
B)  No Solution 
C)    
D)

Question 11

Solve the system of equations by substitution:
-

Accepted Answer

A)  ( 1, -8) 
B)  ( 0, -7) 
C)  ( 7, 0) 
D)  no solution 
A)  ( 1, -8) 
B)  ( 0, -7) 
C)  ( 7, 0) 
D)  no solution

Question 12

Solve the matrix equation     +.     = by using the inverse of the coefficient matrix

Accepted Answer

The answer of Solve the matrix equation   ...

Question 13

Perform the operation, if possible:
-

Accepted Answer

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

Question 14

Find the matrix product mentally, without the use of a calculator or pencil-and-paper calculations:
-

Accepted Answer

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

Question 15

Perform the operation, if possible:
-

Accepted Answer

A)    
B)  BA is not defined. 
C)    
D)    
A)    
B)  BA is not defined. 
C)    
D)

Question 16

Use a graphing utility and augmented matrix methods to solve the system:   Express your answer accurate to three decimal places.

Accepted Answer

The answer of Use a graphing utility and augmented matrix...

Question 17

Write the system as a matrix equation of the form AX = B:
-

Accepted Answer

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

Question 18

Solve the system of equations by graphing:
-

Accepted Answer

A)  ( -2, -1) 
B)  ( 2, 1) 
C)  ( 1, 2) 
D)  no solution 
A)  ( -2, -1) 
B)  ( 2, 1) 
C)  ( 1, 2) 
D)  no solution

Question 19

Perform the operation, if possible:
-

Accepted Answer

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

Question 20

Solve using Gauss-Jordan elimination:
-

Accepted Answer

A)  (5, -5) 
B)  (-5, -6) 
C)  (-6, -5) 
D)  (6, -6) 
A)  (5, -5) 
B)  (-5, -6) 
C)  (-6, -5) 
D)  (6, -6)

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

Determine whether B is the inverse of A: -

Solve using Gauss-Jordan elimination: -

Solve the system of equations by graphing: -

Solve the system of equations by elimination: -

Use the augmented matrix to solve the system:

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 substitution: -

Solve the matrix equation +. = by using the inverse of the coefficient matrix

Perform the operation, if possible: -

Find the matrix product mentally, without the use of a calculator or pencil-and-paper calculations: -

Perform the operation, if possible: -

Use a graphing utility and augmented matrix methods to solve the system: Express your answer accurate to three decimal places.

Write the system as a matrix equation of the form AX = B: -

Solve the system of equations by graphing: -

Perform the operation, if possible: -

Solve using Gauss-Jordan elimination: -

Linear Equations and Graphs

Functions and Graphs

Mathematics of Finance

Linear Inequalities and Linear Programming

Linear Programming: The Simplex Method

Logic, Sets, and Counting

Probability

Markov Chains

Data Description and Probability Distributions

Games and Decisions

Appendix A: Basic Algebra Review

Appendix B: Special Topics

Filters

Exam 4: Systems of Linear Equations; Matrices

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

Determine whether B is the inverse of A: -

Solve using Gauss-Jordan elimination: -

Solve the system of equations by graphing: -

Solve the system of equations by elimination: -

Use the augmented matrix to solve the system:

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 substitution: -

Solve the matrix equation +. = by using the inverse of the coefficient matrix

Perform the operation, if possible: -

Find the matrix product mentally, without the use of a calculator or pencil-and-paper calculations: -

Perform the operation, if possible: -

Use a graphing utility and augmented matrix methods to solve the system: Express your answer accurate to three decimal places.

Write the system as a matrix equation of the form AX = B: -

Solve the system of equations by graphing: -

Perform the operation, if possible: -

Solve using Gauss-Jordan elimination: -

Linear Equations and Graphs

Functions and Graphs

Mathematics of Finance

Linear Inequalities and Linear Programming

Linear Programming: The Simplex Method

Logic, Sets, and Counting

Probability

Markov Chains

Data Description and Probability Distributions

Games and Decisions

Appendix A: Basic Algebra Review

Appendix B: Special Topics

Filters