Suppose that m>n in the homogeneous system                        a11x1+a12x2+…+a1nxn=0                       a21x1+a22x2+…+a2nxn=0                       am1x1+am2x2+…+amnxn=0.   then ?

Q: 21. Let Ax = 0 be a homogeneous system of n linear equations in n unknowns that has only the trivial…

A:

Q: Assume we have the following system of linear equation x1 + 4x2 = 5 x2 + 2x3 = 2 4x1 + 3x3 = 0…

A:

Q: consider an arbitrary linear system with input x[n] and output y[n]. show that x[n]= 0 for all n…

A:

Q: Solve the given linear system using the ini methods:

A: Given,                9x1+x2+x3=102x1+10x2+3x3=193x1+4x2+11x3=0

Q: X + x, + 4x, 9х, = 7 X2 2х, + 6х, 17x, = 5 2x2 4x, + 9x, 25х, 12x, = 4 = 7 4x4 explain the solution…

A:

Q: 2x1 + x2 + x3 = 6 3x1 + 2x2 − 2x3 = −2 x1 + x2 + 2x3 = −4

A: The given system of linear equations are: 2x1+x2+x3=63x1+2x2− 2x3=−2x1+x2+2x3=−4 To solve for x3

Q: Why the 1st row and 1st column of the JACOBIAN MATRX is always Zero ?

A: It is not necessary that the 1st row and the 1st column is  always zero. It may be possible or it…

Q: Consider the homogeneous system: X, + 2x2 — Хз + 5x4 %3D0 2х1 + 4x2 + хз + 7x4 = 0 = 0 Зх, +6х2 + хз…

A: The system of equation is given as x1+2x2-x3+5x4 = 02x1+4x2+x3+7x4 = 03x1+6x2+x3+11x4 =…

Q: Use Cramer's rule to compute the solution of the system. 4x, + 3x2 + 4x3 = 8 4x1 X3 = 2 + - 2x1 +…

A: As given by the question There are given that the system of equation:…

Q: 6. Use Cramer's rule to determine the solution of the system (2 – k)æ1+ka2 = 1 kai+(3 – k)x2 = 3 For…

A:

Q: Consider the linear system of its matrix form Ax = b with 1 -2 0 3 -4 x2 8 1 4 3 A = 3 and x = L3 1…

A:

Q: 2- If L(x, y) = ax + by2 is a Lyapunov function at the origin for the system * = y + x³, y = -x +…

A: According to guidelines we have to solve only one question.

Q: The linear system Ax=0 is always consistent Select one: O True O False

A:

Q: Show that the homogeneous system x1 0+ x2 -1+x3-1 = 0 has a nontrivial %3D 2 4 8. ition

A: By comparing both sides we got three systems oh homogeneous equations and I have solved that

Q: Use (1) in Section 8.4 X = eAtc (1) to find the general solution of the given system. 1 0 X' = X(t)…

A:

Q: 1) Use Cramer's Ruke to solve the folowing linear system :- x+ 3y -2z = 5 4x - y -32 = 8 2x+2y -5z…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Consider the following linear system: 2x + 2y + 2z = 0 −2x + 5y + 2z = 1 8x + y + 4z = −1 Given that…

A: We have the system of equations 2x + 2y + 2z = 0−2x + 5y + 2z = 18x + y + 4z = −1 x1 = (−1, −1, 2)…

Q: 1 2 -3 -2 1 3 0. X2 1 -4 3 3 4 X3 10. -2 -4 4 -3 2 X4 -1 1 X5 1 2 -3 -2 7 | X6 6

A:

Q: Which is NOT TRUE about Finite Difference Method (FDM)? Select one: O a. In FDM, we need to…

A: The 4th option 'd' is not true .

Q: Solve for z and y the following system of simultaneous equations 2 In(z) = In(y) + In(4) subject to…

A: First simplify and form the system of equations in x and y then solve for x and y.

Q: 11. Consider the following systems of equations. x2 + 2x3 = 30 x + 5x, + 3x3 2x1 + 3x2 + 8x, 12 (i)…

A: Hello. Since your question has multiple parts, we will solve the first part for you. If you want…

Q: a system is constructed from two functions as , proof that such system is linear using a…

A: In the given question, the concept of  Superposition Theory is applied. Superposition Theory…

Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(16) eteU = e4…

A:

Q: X1 – 2x2 + x3 + x4 = 4 x1 + 2x2 + x3 + x4 = 1 2x1 +2х3 + 2х, 3D 5

A:

Q: EXERCISE 118.3 (Defending territory) General A is defending territory accessible by two mountain…

A: Given General A has 3 division General B has 2 division Each General allocate his division between…

Q: systems using Gauss-J

A: Introduction: The Gauss Jordan Elimination, also known as the Gaussian Elimination, is a method for…

Q: Evaluate the integral V5+ 12x2 – 4xª xdx 2x2 – 3 (2x? - 3)/5+ 12x² – 4xª + 14Arcsin V14 +C {(2x2 -…

A: We will use substitution method to solve it.

Q: Calculate the equilibrium point using Gauss-Jordan Elimination only for the case where the number of…

A: The inter species competition scenario can be modelled in terms of standard Lotka Volterra ODE model…

Q: Use (1) in Section 8.4 X = eAtc (1) to find the general solution of the given system. 0. X' = 0 5…

A:

Q: 5. Compute the solution to the original system of equations by transforming y into x, i.e., compute…

A:

Q: Use (1) in Section 8.4 X = eAtC (1) to find the general solution of the given system. 1 0 X' = X(t)…

A:

Q: Show that the 3D system x' = Ax is conjugate to the system x' = -x where a < 0 and A is given by 1 A…

A:

Q: Consider the nonhomogeneous system 2х, — 6х, + 3х, —-4 -X + x; + x, = 5 2.x; +6x, – 5.x, = 8

A:

Q: Verify that the vector X, is a particular solution of the given nonhomogeneous linear system. X' =…

A: Here,

Q: Define Systems of Dimension n = 2 ?

A: Dimension 2 is basically related to two variables, one is the length and the other is the width. It…

Q: A. A company manufactures three goods, X; Y and Z, each of which is made from three types of input,…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Compute the x's for the system *) = kx k3(x3 – X2) = k2(x2 - X) | k4(x4 - x3) = k3(x3 - x2) %3D F =…

A:

Q: The linear system Ax=b is consistent whenever the columns of [A | b] are linearly dependent. True

A: Introduction: If and only if b is a linear combination of A's column vectors, a linear system Ax = b…

Q: 1. Suppose that (2, 1, 4, 7) and (3, 2, 1, –1) are solutions to a homogeneous linear system, whose…

A: Suppose the given system of linear homogeneous equations can be given as  a11x1+…

Q: Find the orthogonal projection of v on the solution space of the linear system Ax = 0, where v = (5,…

A: The solution is given as

Q: Four white and four black balls are distributed in two urns in such a way that each contains four…

A: From the given information, There are 4 white and 4 black balls are distributed in two urns in such…

Q: Find a homogeneous system whose solution set W is spanned by {u1, u2, u3}={(1, -2, 0, 3), (1, -1,…

A: See the attachment

Q: Prove that a linear system Ax = b is consistent if and only if the rank of (A | b) equals the rank…

A: Assume, Ax = b is consistent. Then in the column space of A lies B. Therefore, the dimension of the…

Q: Prove that the general solution of the nonhomogeneous linear system, 6 x-(1-1)×(1)²² · (-)-(-) X + +…

A: Given system of linear differential equation, X'=-1-1-11X+11t2+6-8t+-17 We are provided with…

Q: how do I work a Gauss-Jordan Elimination?

A: Given: -

Q: 2- Express the FIR and the IIR discrete systems mathematically by the difference equations and the…

A:

Q: 2. Determine whether the linear system Ax = b is well- or ill-conditioned . You can use either the…

A:

Q: Use naive-Gauss-elimination to decompose the following system. - 2x + 3y + z = 9 x + 2y + 3z = 6 3x…

A: