Question 4:A homogenous system of linear equations is given by-x₂ + 2x₂ − x₂ + 2x₂ = 0-2x₂ + 2x₂ + x₂ + 4x₂ = 03x₂+2x₂+2x₂ +5x₂ = 0(-3x₂ +8x₂ +5x₂ +17x₂ = 0.For the solution space of the given homogenous system of linear equationsA.Find a basis.B.The dimension.

First of all convert this into matrix form after that use row reduce echlone form there are 3 non…

Answered: Question 4: A homogenous system of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Determine the null input answer of a described system by the equation: y[n] + 4y[n -2] = 2x[n]. The initial conditions are yo[-1] = -1/22e yo[-2] = 1/4V2*Check the solution by determining the first three and terms interactively.
Need only handwritten solution only (not typed one).
5. How many solutions does the system y = 3x? and y = 7x + 6 have? [A] 1 (B] 2 [C13 [D]4
Solve the problem in the given system of linear algebraic equations using [2x₁ +4x₂ −5x3 +7x₂ = 7 √x3−x²₂+x²₁ = 0 |2x₁ +3.x3 −4.x, =-7 - (− ³x − x₂ + 2x3 + x₂ = 5 300000 GAUSSIAN ELIMINATION
Consider the following system of equations x + 3y = 1 ax + 3y = 1 (a) For which value(s) of a does the system admit a unique solution? (b) For which value(s) of a does the system admit infinitely many solutions?
Find a complete solution of the given system of first – order equations (D² + 1)x + (D² + 3)y = 0 (3D + 1)x + (2D + 6)y = 0
Match b and a system representation to its corresponding difference equation y[n] = -1.46x[n] - 3.53x[n-1] + 3.93x[n-2] - 2.86y[n-1] - 4.1y[n-2] -0.65y[n-3] y[n] = -1.46x[n] - 3.53x[n-1] + 3.93x[n-2] + 2.86y[n-1] + 4.1y[n-2] + 0.65y[n-3] y[n] = 1.46x[n] + 3.53x[n-1] - 3.93x[n-2] + 2.86y[n-1] + 4.1y[n-2] + 0.65y[n-3] y[n] = -1.46x[n] - 3.53x[n-1] - 3.93x[n-2] + 2.86y[n-1] + 4.1y[n-2] + 0.65y[n-3] y[n] = 1.46x[n] + 3.53x[n-1] - 3.93x[n-2] - 2.86y[n-1] - 4.1y[n-2] -0.65y[n-3] 1. 2. 3. 4. 5. b = [-1.46 -3.53 3.93]; a = [1 2.86 4.1 0.65] b = [-1.46 -3.53 -3.93]; a = [1 -2.86 -4.1 -0.65] b = [-1.46 -3.53 3.93]; a = [1 -2.86 -4.1 -0.65] b = [1.46 3.53 -3.93]; a = [1 2.86 4.1 0.65] b = [1.46 3.53 -3.93]; a = [1 -2.86 -4.1 -0.65]
3. Let c e R be a constant. Consider the following system of linear equations over R: = 0 3x1 + 4t1 + (c— 2)22 + (2с— 3)3 CI2 + 13 (*). CI2 + X3 = 0 (2)( Determine all values of c so that the system (*) has a unique solution. (b)( If c = 1, find the dimension of the solution set of the system (*).
For which values of tER will the system tx - (2t)y + z = 3 -3x + 3y - 5z = -2 x-(t+1)y+z=1 be inconsistent? Find the solutions for t = -1.
Find a solution, (x,y), of the following system of two nonlinear equations for which both x and y are real and strictly positive. g(x,y) = 4*x^2 + 5*x*y - 2 = 0 %3D h(x,y) = 9*y^2 + 3*x*y - 3 = 0 Such a solution exists. Report ONLY the x value. You must report your answer so that |your answer - correct answer| < 0.0001 to receive full marks. Do not use scientific notation when reporting your solution.
Solve the system of linear equations by iteration method (4 iteration). x - 4 y +7 z = 10 5x - 4 y + z = 0 - 4x + 6 y - 4 z = 5 1. X= * X= 1/5(3y-2z) X= 1/5(3y-z) X= 1/5(4y-z) 2. y= * y= 1/6(5+4x-4z) y= 1/6(3y-z) y= 1/5(4y-z) 3. Z= * O z= 1/7(10-x-4y) Z= 1/6(3y-x) Z= 1/5(4y-4x) 4. When first iteration * O X= 0, Y=0.833, Z=1.905 X= 0, Y=1.833, Z=1.905 X= 0, Y=0.833 ,Z=3.905 5. When third iteration * X= 1.295 , Y=0.833, Z=3.241 X= 0, Y=1.833 ,Z=1.905 X= 1.295 , Y=3.495, Z=3.241 O O O O O O O O O

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS