Question

use matrix manipulation to solve for a, b, and c. Set up a matrix equation for...

use matrix manipulation to solve for a, b, and c. Set up a matrix equation for AX=B based on the system of equations below, where X is a matrix of the variables a, b and c. Then, use Gauss-Jordan elimination to find the inverse of A. Finally, use your results to write the equation of the parabola. Show your work and final equation in the space provided. 9a+3b+c=8 , 25a+5b+c=20/3, 36a+6b+c=5

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
2.Use separation of variables to solve (3x^2(1-y^2))/2y with initial condition y(1)=2. 3.State the solution of the...
2.Use separation of variables to solve (3x^2(1-y^2))/2y with initial condition y(1)=2. 3.State the solution of the homogeneous ODE with roots of its characteristic equation of r= 1,1,1,+-7i,3+-5i. 4.Consider the system of linear equations: 2x+6y+z=7 x+2y-z=-1 5x+7y-4z=9 solve this system using: a) Carmer's rule, b)Gauss-Jordan elimination, c) an inverse matrix.
Using elementary transformations, determine matrices B and C so that BAC=I for the matrix A. Use...
Using elementary transformations, determine matrices B and C so that BAC=I for the matrix A. Use B and C to compute the inverse of A; that is, take the inverse of both sides of the equation BAC=I and then solve for A inverse. I need to find Matrix B, Matrix C, and Inverse of matrix A A= 1   2   1   1 0   1   2   0 1   2   2   1 0   -1 1   2
Use Gauss-Jordan method (augmented matrix method) to solve the following systems of linear equations. Indicate whether...
Use Gauss-Jordan method (augmented matrix method) to solve the following systems of linear equations. Indicate whether the system has a unique solution, infinitely many solutions, or no solution. Clearly write the row operations you use. (a) x − 2y + z = 8 2x − 3y + 2z = 23 − 5y + 5z = 25 (b) x + y + z = 6 2x − y − z = 3 x + 2y + 2z = 0
Use Gauss-Jordan method (augmented matrix method) to solve the following systems of linear equations. Indicate whether...
Use Gauss-Jordan method (augmented matrix method) to solve the following systems of linear equations. Indicate whether the system has a unique solution, infinitely many solutions, or no solution. Clearly write the row operations you use. (a) (5 points) x + y + z = 6 2x − y − z = 3 x + 2y + 2z = 0 (b) (5 points) x − 2y + z = 4 3x − 5y + 3z = 13 3y − 3z =...
Given the following situation, use a matrix to solve for the unknowns. A company produces 3...
Given the following situation, use a matrix to solve for the unknowns. A company produces 3 types of widgets. On a given day, the company was able to produce 9 total widgets (combining all 3 types). Widget A costs $3 to produce, Widget B costs #2 to produce, and Widget C costs $1 to produce. The cost to produce the widgets each day is $18. The company produces one more Widget B than the sum of the Widgets A &...
Use the Gauss-Jordan method with pivoting to find the inverse of the coefficient matrix for the...
Use the Gauss-Jordan method with pivoting to find the inverse of the coefficient matrix for the system of equations given. Hint: Keep values as fractions rather than estimating using decimal points throughout. When reporting your answer, convert to decimal form. Approximately halfway through calculating the inverse, just before multiplying Row 3 by a scalar so that A(3,3) becomes 1, what is the value of A(3,3)? Answer is 0.1 On the last calculation, just before multiplying Row 1 by a scalar so that...
given the system of equations -3x2+7x3=4 x1+2x2-x3=0 5x1-2x2=3 a. compute the determinant b. use cramers rule...
given the system of equations -3x2+7x3=4 x1+2x2-x3=0 5x1-2x2=3 a. compute the determinant b. use cramers rule to solve for the x's. c. use gauss elimination with partial pivoting to solve for the x's. d. substitute your results back into the original equations to check your solution.
Set up the system of equations and then solve it by using an inverse matrix. A...
Set up the system of equations and then solve it by using an inverse matrix. A manufacturer of table saws has three models (Deluxe, Premium, and Ultimate) that must be painted, assembled, and packaged for shipping. The table gives the number of hours required for each of these operations for each type of table saw. Deluxe Premium Ultimate Painting 1.6 2 2.4 Assembly 2 3 4 Packaging 0.5 0.5 1 (a) If the manufacturer has 96 hours available per day...
(a) Use energy ideas to set up an equation that describes the motion of a mass...
(a) Use energy ideas to set up an equation that describes the motion of a mass moving horizontally under the influence of a linear spring force. Neglect air resistance and friction. Solve your equation to obtain expressions for the object’s position, velocity and acceleration as functions of time. Obtain an expression for the angular frequency of the oscillation. Clearly define all quantities you need to do this. Show and explain each step, and be clear about what your answers are...
Solve each item supporting your answer with clear explanation. 1. Consider the following augmented matrix of...
Solve each item supporting your answer with clear explanation. 1. Consider the following augmented matrix of a system of linear equations. ( 7 −3 4 6 −3 2 6 2 2 5 3 −5 ) a. Solve the system with the Jacobi method. First rearrange to make it diagonally dominant if possible. Use [0,0,0] as the starting vector. Find the condition number of the matrix of coefficients κ∞(A), and compute how many iterations are required to get the solution accurate...