Explore BrainMass
Share

# Linear Algebra

### Different methods of solving system of linear equations

i) Solve he following equation by the quadratic formula : 3X^2 + 4X -23 = 0 ii) Find the values of x and y that satisfy the equations here given ( use the simultaneous equation method ) : 3x + 2y = 22 2x + 3y = 23 iii) Solve graphically the following equations: show the graph as a part of the solu

### Linear, Nonlinear Variables - Similarities and Differences

What similarities and differences do you see between functions and linear equations studied in Ch. 3? Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer. Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.

### Equations with Infinite or No Solutions

How do you know when an equation has infinitely many solutions? How do you know when an equation has no solution?

### A simple example of the use of De Morgan's Law

Can anyone show me a simple definition of De Morgan's Law (not proof just a definition using union and intersection symbols)? Please show a simple example of the use of De Morgan's Law.

### Practice Questions on Systems of Equations

Practice questions on Systems of Equations (See the attached questions file).

### System of Equation Word Problems

Please see the attached document for better formatting: _____________________________________________________ Review examples 2, 3, and 4 in section 8.4 of the text. How does the author determine what the first equation should be? What about the second equation? How are these examples similar? How are they different? P

### Solving systems of equations

3.) Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent. 5u+v=9 5u=v+21 What is the solution of the system of equations? ____________________ (Type an ordered pair . Type N if there is no solution. Type R if the solution is a

### Linear Equations In Real World

I need to show a linear equation and explain what it represents. I need to state what the "x" and "Y" in equation represents I have to be able to evaluate the equation for at least two variables and provide reference where you got the equation from. Part 2: Using the Library, web resources, and/or other materials, find a r

### Geomotry problems

Please see attached. Thanks for your help! 1. Along a straight shoreline, two lighthouses, A and B, are located 2000 feet apart. A buoy lies in view of both lighthouses, with angles 1, 2, and 3 as indicated. (Angle 1 is denoted by , angle 2 is denoted by , and angle 3 is denoted by .) 2. The two parallel lines a and b

### Judy and Pete are building a new house and want to carpet their living room

Please see the attached file. 1. Judy and Pete are building a new house and want to carpet their living room, except for the entrance way and the semicircle in front of the fireplace that they want to tile (Alexander & Koeberlein, 2003). A. How many square yards of carpeting are needed? (Hint: There are 9 square feet

### Several problems on quadratic function & system of equations Fran swims at a speed of 2.4km/h in still water.

1. 2x-9=-3 The solution is x= 2. Fran swims at a speed of 2.4km/h in still water. The lazy river flows at a speed of 0.8km/h. How long will it take Fran to swim 1.6km upstream. It will take Fran ____ hr to swim 1.6 km upstream 3. |x-6|=27 The solution set is ? 4. g(x)=10/1-2x What is the correct domain 5.

### Linear equations as matrices

1. In Example 3 of Section 2.5, the text shows how to write a system of linear equations using matrix notation. You can similarly write a linear programming problem in matrix notation. Find matrices A, B, C, and X such that the maximization problem Maximize z = 3x1 + 2x2 + x3

### Graphing Linear Equations and Applications - 1. The following table shows the height of a tree as it ages. In Excel, plot each point on the same graph where the first coordinate is the age of the tree and the second coordinate is the height of the tree (age, height). After plotting each point, explain if there is a linear relationship between the age and height of the tree. 4. The equation represents the total cost to run Johnny's Pizza place for a day. C symbolizes the total cost to open the pizza place, and x stands for the number of pizzas sold. A. Find the y-intercept of this graph and explain what it means in the context of the problem. Show all work to receive full credit. B. Explain the slope of the line within the context of this problem. C. Graph the equation. ... [Please see the attached question file for all the questions.]

1. The following table shows the height of a tree as it ages. In Excel, plot each point on the same graph where the first coordinate is the age of the tree and the second coordinate is the height of the tree (age, height). After plotting each point, explain if there is a linear relationship between the age and height of the tr

### Linear Equations: Determine the Slope

1. A roof rises 2.25 ft over a horizontal distance of 17.37 ft. What is the slope of the roof to the nearest hundredth? 2. Determine which two equations represent parallel lines. (a) y = x + 4 (b) y = - x - 9 (c) y = 7x + 14 (d) y = 7x - 4.

### MTH133-0802B-15 College Algebra: Part 1: What is the formula for the volume of a rectangular solid? Find an object in your residence that has the shape of a rectangular solid. Measure and record the length, width, and height of your object in either centimeters (to the nearest 10th of a centimeter) or inches (to the nearest quarter of an inch). Compute the volume of your solid and include units with your answer. Include the type of object, the measurements, and show how you obtained the volume. Part 2: Using the Library, web resources, and/or other materials, find a real-life application of a linear function. State the application, give the equation of the linear function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application. Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as x and W depicted in the following example. Be sure to reference all sources using APA style.

Unit 1 Discussion Board Deliverable Length: 2-3 paragraphs Details: Library Assignment Part 1: What is the formula for the volume of a rectangular solid? Find an object in your residence that has the shape of a rectangular solid. Measure and record the length, width, and height of your object in either centimeters (to the

### A stamp collection consists of 3, 8, and 15 cent stamps.

A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is \$2.47. Find the number of 8 cent stamps in the collection?

### Determinants, Matrices, Inverse, Linear equations

Practice problems on determinants and matrices. All questions can be found in the attached file. Write the matrix equation as a system of equations and solve the system. ■(1&2&3@1&1&1@-1&1&2) {█(x@y@z)┤ = {█(1@12@2)┤ Find the determinant of the given matrix. ■(1&0&6 -1@-6&0&2 4@3&0&6 -2 )

### Landscape Design, Buying a Home and Fueling up

Questions 1. Exercise: Four Concept Check Post your 50 word response to the following: Explain in your own words why the line x = 4 is a vertical line. 2. DQ 5-1 Post your response to the following: What similarities and differences do you see between functions and linear equations? Are all linear equations functions?

### Linear Equations and Linear Inequalities

In what fundamental way does the solution set of a system of linear equations differ from the solution set of a system of linear inequalities? Give examples. Discuss the important implications arising from this difference.

### Solving for x and y by the method of elimination, and finding the width and length of a rectangle.

2. the perimeter of a rectangle is 26m. the length is 1 m more than twice the width. Find the dimensions What is the length? _____m what is the with?______m 4. Solve by the elimination method x+5y=34 -x+9y=50 5.Solve by the elimination method 5x+5y= -13 -------------(1) 7x-3y= 19 -------------(2) 16. Solv

### Systems of linear equations

Solve the system of equations by graphing ... Solve by the substitution method ... See the attached file.

### Linear Growth of a town's population that has constant growth.

Linear Growth: Suppose that the amount that your town's population grows each year is fixed (or constant). Choose the amount of population growth each year =

### Solving a System of Linear Equations

Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? What circumstances would cause you to use a different method?

### MTH 212: Unit 4 Group Project - A

Can you help solve the attached file? 1. Along a straight shoreline, two lighthouses, A and B, are located 2000 feet apart. A buoy lies in view of both lighthouses, with angles 1, 2, and 3 as indicated. (Angle 1 is denoted by , angle 2 is denoted by , and angle 3 is denoted by .) A. By looking at the picture, do you th

### Find the solutions to a system of linear equations using the method of augmented matrices. Question file contains four lengthy questions on matrices.

MTH212 Unit 3 - Individual Project A 1. To raise money, the local baseball teams decided to sell team logo hats (H) and T-shirts (T). The league director decided to hold a contest among the teams to see which team can raise the most money. The contest lasted for 3 weeks. Here are the results of the first 2 weeks. The numbers

### Five Questions - Sequences, Linear equations etc.

1) Use inductive reasoning to determine the next three numbers in the pattern: 3,12,26,45.....? (I don't seem to find a pattern?) 2) Find the counterexample to show that the following statemnet is incorrect. "the sum of any odd numbers is divisible by 4. ( I tried several odd numbers and the answer is always divisible by 4)

### Seven Problems on Determinants, Cramer's Rule and Matrices

Seven practice problems are in the attached file. 1. Use Cramer's rule to solve the system x + y -z = -1 2x - 2y + 3z = -12 X + y - 4z = 13 Solution set is 2. Evaluate the determinate 5 0 0 1 -3 1 1 2 4 3. Use Cramer's rule to solve the system or to determine if it is inconsistent(I) or dependant(

### Converting temperature and modeling cost

Find a record-breaking temperature (in degrees Celsius) for a town or city in a country other than the United States. Include the name of the town and country along with the temperature, and what record was broken. Give the formula for converting degrees Celsius to degrees Fahrenheit. Using the formula, show how to convert the m

### Manipulating Basic Linear Equations

The following is offered as a solution of the equation -4[x-2(2x-3)]+1= 1/2(4x-6) -4[x-2(2x-3)]+1=8x-12 -4x-4x+6+1=8x-12 -8x+7=8x-12 7= -12 Because 7 = -12 is not a true equation, the equation has no solution. If this is correct, state that there is no solution. If not, explain in detail why it is not correct

### System of Linear Equations

(1.) x-y+2z=13 2x+xy-z=-6 -x+3y + z =-7 a. Provide a coefficient matrix corresponding to the system of linear equations. b. What is the inverse of this matrix? c. What is the transpose of this matrix? d. Find the determinant for this matrix. (2) A = [2 -3] [-4 1] [7 4] and B=[ 6 5]