Question

Given a matrix system AX = B as below, where A is a 4 x 4...

  1. Given a matrix system AX = B as below, where A is a 4 x 4 matrix as given below

A:

2          1          0          0

1          2          1          0

0          2          4          1

0          0          1          3

B:

0        

-1

3

-1

Solve for all 4 X values using TDMA algorithm

First identify the a, d, c and b values for each row, and then find P’s and Q’s and finally determine X’s.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the fundamental matrix solution for the system x′ = Ax where matrix A is given....
Find the fundamental matrix solution for the system x′ = Ax where matrix A is given. If an initial condition is provided, find the solution of the initial value problem using the principal matrix. A= [ 4 -13 ; 2 -6 ]. , x(o) = [ 2 ; 0 ]
4. Suppose that we have a linear system given in matrix form as Ax = b,...
4. Suppose that we have a linear system given in matrix form as Ax = b, where A is an m×n matrix, b is an m×1 column vector, and x is an n×1 column vector. Suppose also that the n × 1 vector u is a solution to this linear system. Answer parts a. and b. below. a. Suppose that the n × 1 vector h is a solution to the homogeneous linear system Ax=0. Showthenthatthevectory=u+hisasolutiontoAx=b. b. Now, suppose that...
In the system AX=b, where A is m x n matrix and rank of A is...
In the system AX=b, where A is m x n matrix and rank of A is m, you are given n vectors and among them p vectors are linearly dependent (p > m). Please write down the procedure to reduce the number of dependent vector by 1.
y[n] =b(ax[n] +x[n-1]+ax[n-2]) where a&b >0. Find the frequency response of the system H(e^jw). Determine the...
y[n] =b(ax[n] +x[n-1]+ax[n-2]) where a&b >0. Find the frequency response of the system H(e^jw). Determine the values of a & b, if the magnitude response of the filter at w = 0 is 1 and at w =pi÷2 is 0.5. thanks
Solve the equation Ax = b by using the LU factorization given for A. A= [4  ...
Solve the equation Ax = b by using the LU factorization given for A. A= [4   -6 4         =   [1 0 0       [4 -6 4               [0      -12 15 -7              -3 1 0        0 -3 5         b= 12       12 -15 8]             3 -1 1]       0 0 1]             -12] Let Ly=b and Ux=y. Solve for x and y. y= x=
Let A be a given (3 × 3) matrix, and consider the equation Ax = c,...
Let A be a given (3 × 3) matrix, and consider the equation Ax = c, with c = [1 0 − 1 ]T . Suppose that the two vectors x1 =[ 1 2 3]T and x2 =[ 3 2 1] T are solutions to the above equation. (a) Find a vector v in N (A). (b) Using the result in part (a), find another solution to the equation Ax = c. (c) With the given information, what are the...
A linear system of equations Ax=b is known, where A is a matrix of m by...
A linear system of equations Ax=b is known, where A is a matrix of m by n size, and the column vectors of A are linearly independent of each other. Please answer the following questions based on this assumption, please explain it, thank you~. (1) To give an example, Ax=b is the only solution. (2) According to the previous question, what kind of inference can be made to the size of A at this time? (What is the size of...
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
Find the (real-valued) general solution to the system of ODEs given by: X’=[{-1,-1},{2,-3}]X (X is a...
Find the (real-valued) general solution to the system of ODEs given by: X’=[{-1,-1},{2,-3}]X (X is a vector) -1,-1, is the 1st row of the matrix 2,-3, is the  2nd row of the matrix. Then, determine whether the equilibrium solution x1(t) = 0, x2(t) = 0 is stable, a saddle, or unstable.
Given the following vector X, find a non-zero square matrix A such that AX=0: You can...
Given the following vector X, find a non-zero square matrix A such that AX=0: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. x = [-1] [10] [-4] This is a 3x1 matrix.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT