Question 1

Solve using Gauss-Jordan elimination:
-

Accepted Answer

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

Question 2

Use Gauss-Jordan elimination to find the inverse of .

Accepted Answer

The answer of Use Gauss-Jordan elimination to find the inverse...

Question 3

A Dawn Bakery bakes whole wheat, oat, and rye bread, with mixing, baking, and packaging times, in hours, as shown:   An order is received for 400 loaves of whole wheat bread, 200 loaves of oat bread, and 350 loaves of rye bread. Given that the cost of mixing, baking, and packaging is $14, $25, and$2, respectively, per hour, find matrices B and C so that the product BAC will give the total cost (excluding raw materials) of filling this order. Find the total cost.

Accepted Answer

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

Question 4

Solve the system of equations by elimination:
-

Accepted Answer

A)  ( -2, -1) 
B)  ( 2, -1) 
C)  ( 2, 1) 
D)  ( -2, 1) 
A)  ( -2, -1) 
B)  ( 2, -1) 
C)  ( 2, 1) 
D)  ( -2, 1)

Question 5

Use a graphing utility to solve the system   . Give the answer to three decimal places.

Accepted Answer

The answer of Use a graphing utility to solve the...

Question 6

A supermarket chain sells oranges, apples, peaches, and bananas in three stores located throughout a large metropolitan area. The average number of pounds sold per day in each store is summarized in matrix M. "In season"and "out of season"prices, per pound, of each fruit are given in matrix N. What is the total, for the three stores, of "in season"daily revenue for the four fruits? The "out of season"peach sales represent what percentage of the daily total "out of season"revenues for store 3?

Accepted Answer

The answer of A supermarket chain sells oranges, apples, peaches,...

Question 7

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

Accepted Answer

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

Question 8

Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM:
-There were 35,000 people at a ball game in Atlanta. The day's receipts were $290,000. How many people paid $14 for reserved seats and how many paid $6 for general admission? Let x represent the number of reserved seats and y represent the number of general admission seats.

Accepted Answer

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

Question 9

Perform the operation, if possible:
-

Accepted Answer

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

Question 10

Given matrix A:   
What is the size of A? 
Find   and

Accepted Answer

The answer of Given matrix A:   
What is...

Question 11

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 = 9; y = 2 
B)  x = 4; y = 9 
C)    
D)  x = 9; y = 4 
A)  x = 9; y = 2 
B)  x = 4; y = 9 
C)    
D)  x = 9; y = 4

Question 12

The input-output matrix for an economy is
  Find the production matrix X.

Accepted Answer

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

Question 13

Find the inverse, if it exists, of the given matrix:
-

Accepted Answer

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

Question 14

Write the augmented matrix for the system.

Accepted Answer

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

Question 15

Accepted Answer

The answer of  ...

Question 16

Only one of the following augmented matrices of a linear system is in a reduced form. Choose the matrix that is in reduced form.

Accepted Answer

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

Question 17

Solve using Gauss-Jordan elimination:
-

Accepted Answer

A)  ( 5, -1, -3) 
B)  ( -3, -1, 5) 
C)  ( 5, -3, -1) 
D)  No solution 
A)  ( 5, -1, -3) 
B)  ( -3, -1, 5) 
C)  ( 5, -3, -1) 
D)  No solution

Question 18

Perform the operation, if possible:
-

Accepted Answer

The answer of Perform the operation, if possible:
- ...

Question 19

Find the inverse, if it exists, of the given matrix:
-

Accepted Answer

A)    
B)    
C)    
D)  Does not exist 
A)    
B)    
C)    
D)  Does not exist

Question 20

Solve the system as matrix equations using inverses:
-

Accepted Answer

A)  (4, -1, -5) 
B)  (4, -5, -1) 
C)  (5, 1, 4) 
D)  (-5, -1, 4) 
A)  (4, -1, -5) 
B)  (4, -5, -1) 
C)  (5, 1, 4) 
D)  (-5, -1, 4)

Solve using Gauss-Jordan elimination: -

Use Gauss-Jordan elimination to find the inverse of .

Solve the system of equations by elimination: -

Use a graphing utility to solve the system . Give the answer to three decimal places.

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

Perform the operation, if possible: -

Given matrix A: What is the size of A? Find and

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

The input-output matrix for an economy is Find the production matrix X.

Find the inverse, if it exists, of the given matrix: -

Write the augmented matrix for the system.

Only one of the following augmented matrices of a linear system is in a reduced form. Choose the matrix that is in reduced form.

Solve using Gauss-Jordan elimination: -

Perform the operation, if possible: -

Find the inverse, if it exists, of the given matrix: -

Solve the system as matrix equations using inverses: -

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

Solve using Gauss-Jordan elimination: -

Use Gauss-Jordan elimination to find the inverse of .

Solve the system of equations by elimination: -

Use a graphing utility to solve the system . Give the answer to three decimal places.

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

Perform the operation, if possible: -

Given matrix A: What is the size of A? Find and

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

The input-output matrix for an economy is Find the production matrix X.

Find the inverse, if it exists, of the given matrix: -

Write the augmented matrix for the system.

Only one of the following augmented matrices of a linear system is in a reduced form. Choose the matrix that is in reduced form.

Solve using Gauss-Jordan elimination: -

Perform the operation, if possible: -

Find the inverse, if it exists, of the given matrix: -

Solve the system as matrix equations using inverses: -

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