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Linear Algebra

Graphing linear inequalities

Solve the following system of linear inequalities by graphing. 3x+4y is less than or equal to 12 x+3y is less than or equal to 6 x is greater than or equal to 0 y is greater than or equal to 0

Systems of Linear Inequalities

Solve each of the following systems of linear inequalities graphically. Please show step by step for full understanding 3x-y less than or equal to 6 x greater than or equal to 1 y less than or equal to 3

Linear Programming, Equations of Lines and Word Problems

1) f(x)=3x(2x-1). f(-1)= A)7 (B)11 (C)-6 (D) 9 2) The slope of the line through the points (3,4)and (-1,7) is A)4/3 (B) ¾ (C) -3/4 (D) 7/4 3)The line 6x + 9y=8 has slope A) -2/3 (B)-6 (C) 4/3 (D) 9 4)Select the line parallel to 6x +14y =20 A) 3x-7y=15(B) 7x-3y=8 (C) y=20/6x+14 (D)y= -3/7x+11/7 5) A revenue f

Interval Notation Question

Write the sets attached using interval notation. If the set is empty, write O. a) G &#8745; C where G ={y|y>-2} and G ={y|y&#8805;4} b) {y|y<1 or y>3}

Linear Equations and Systems of Equations with Parameters

Please help with the following problems. Provide step by step calculations. Find the slope of each line that has a slope x=5y Find an equation in the form y=ms +b (where possible) for each line. Through (3,-5) parallel to y= 4 Graph each linear equation defined as follows; 3x - 5y =15 Solve each system of equat


Matrices have a number of interesting mathematical attributes, such as their dimensions, how they can be derived from linear systems, and the kinds of operations that can be performed on them. Copy the questions to a Microsoft Word document and use an equation editor to enter the answers. Please answer the following questions

Algebra Questions

See attached file for full problem description. 24. Complete the ordered pairs so that each is a solution for the given equation. 3x + 4y = 12 46. Science and medicine. Celsius temperature readings can be converted to Fahrenheit readings using the formula F = 9/5C + 32 . What is the Fahrenheit temperature that corresponds

Logic : Decidable Systems

Question Let (N, <) be the model with universe N and the "less than" relation. Show that Th(N, <) is decidable. Solution Reduce Th(AJ, <) to Th(fV, +), which we've already shown to be decidable. To do so, show how to convert a sentence 0, over the language of Th(A(, <), to a sentence 02 over the language of Th(AF, +) w

Systems of Linear Equations

1. Solve the following systems of linear equations. Solve one using addition and one using substitution. State which method you are using for which system... a) 4x - 3y = 10 & y - 20 = -6x b) y = 3x + 6 & -6x + 2y = 12 2. You are buying coffee beans for your new business, "The Algebra Café." You

Evaluating Functions and Systems of Linear Equations and Inequalities

(See attached file for full problem description) 1. Graph f(x) = -2x + 2. 2. Rewrite the equation -x - 10y = 50 as a function of x. 3. Given f(x) = 5x2 - 3x + 1, find f(-2). A) -13 B) 15 C) -25 D) 27 4. Given f(x) = 4x - 5, find f(a - 1). A) 4a - 9 B) 4a - 6 C) a - 2 D) a - 9 5. Graph the inequality.

Linear Equations and Inequalities

1) Given one point on the graph (-3, -5) and the slope, m = -2, develop an equation in the slope-intercept format Lecture). 2) Given one point on the graph (- 2/3, 2/5) and the slope, m = - 3, develop an equation in the slope-intercept format(Lecture). 3) Given the following two points, (- 4, - 2) & (-1, - 5),develop an

Linear Equations Word Problems

A body at temperature of 55 degree F is placed outdoors where the temperature is 110 degree F. After 5 minutes the temperature of the body is 65 degree F. Find the temperature of the body after 20 minutes.

Linear Equations

1. You are given the following system of linear equations: 3x - 2y + z = 2 -x + y = 3 -2y + 6 = -1 Provide a coefficient matrix corresponding to the system of linear equations. What is the inverse of this matrix? What is the transpose of this matrix? Find the determinant for this matrix. Calculate the following

Solving the linear system using Gaussian elimination

Matrices are the most common and popular way to solve systems of equations. Provide an example of a matrix that can be solved using Gaussian elimination. Show specifically how row operations can be used to solve the matrix. State the solution. Substitute the solution back into the equation to verify the solution. O

Matlab : Linear Least-Squares Fit

I need a Matlab Script for Linear Square fit. Write Linear Square fit mat lab script Input X1, X2 ............................Xn Y1, Y2..............................Yn Representing order pairs (X1, Y1) (X2, Y2) ........ (Xn, Yn) Output should a0 and a1 from page 484 I attached few description pages.

General vector spaces - rank and nullity

10. Let A = a11 a12 a13 Show that A has rank 2 if and only if one or more of a21 a22 a23 the determinants a11 a12 a11 a13 a12 a13 a21 a22 a21 a23 a22 a23 are non zero. 14. Use the result in Exercise 10 to show that the set of points (x, y, z) in R3 for which the matrix