Question: Find a homogeneous linear system with two equations that are not multiples of one another and such that x1 = 1, x2 = - 1,

Find a homogeneous linear system with two equations that are not multiples of one another and such that
x1 = 1, x2 = - 1, x3 = 1, x4 = 2
And
x1 = 2, x2 = 0, x3 = 3, x4 = - 1
Are solutions of the system.

Step by Step Solution

★★★★★

3.49 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

We denote the system of equations by a 11 x 1 a 12 x 2 a 13 x 3 a 14 x 4 0 a 21 x 1 a 22 x 2 a 23 x ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

938-M-L-A-E (1102).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Give a geometric explanation of why a homogeneous linear system consisting of two equations in three unknowns must have infinitely many solutions. What are the possible numbers of solutions for a...

(a) A linear equation in 2 unknowns corresponds to a line in the plane. Give a similar geometric interpretation of a linear equation in 3 unknowns. (b) Given a linear system consisting of 2 equations...

The idea is to get an equation from the vanishing of the determinant of a homogeneous linear system as the condition for a nontrivial solution in Cramers theorem. We explain the trick for obtaining...

3. Find a homogeneous linear system with two equations that are not multiples of one another and such that x = 1, x2 = 1, x3 = 1, x4 = 2 and x = 2, x2 = 0, x3 = 3, x4 = 1 are solutions of the system.

4 This assignment, based on the content of Unit 4 of the Study Guide, is worth 3% of your grade. We recommend that you hand it in after you complete Unit 4. You must show all of your work in order to...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

I was given the following file "ScriptFigs.m": % % Script for generating figures and testing stuff. % n = 10; x = 1:n; y = randn(n,1); pp = spline (x, y); %% Plot the results delta = 0.05; x2 =...

A clever but ethically corrupted mathematics student used to sell assignment solutions to her lazy fellow students. The student, however, learned that she can make much more money by charging the...

BBUNDERSTAT12 9.4.001. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the following linear regression equation to answer the questions. x1 = 1.7 + 3.0x2 - 7.6x3 + 1.6x4 Suppose x3 and x4 were held at...

Define objectives, strategies, and tactics, and explain how they differ.

Compared with an empty ship, would a ship loaded with a cargo of Styrofoam sink deeper into the water or rise in the water? Defend your answer.

9 . 1 7 Calculating the Fair Value of Debt. The Collins Corporation issued $ 4 5 million maturity value in notes, carrying a coupon rate of six percent, with interest paid semiannually. At the time...

When a project manager asks for specific team member status, the project manager may receive from the team member information that the team member thinks the project manager wants to hear but in...

Let V be an inner product space. Show the following: (a) ||0||=0. (b) (u, 0) = (0, u) = 0 for any u in V. (c) If (u, v) = 0 for all v in V, then u = 0. (d) If (u, w) = (v, w) for all w in V, then u =...

Find an orthonormal basis for the subspace of R4 consisting of all vectors of the form a ab c b+c

Find an orthonormal basis for the subspace of R4 consisting of all vectors [a b c d] such that a - b - 2c + d = 0.

Suppose the concentration of a compound found in a person's blood is normally distrbiu t e d. Suppose also that the event of the concentration being x mgLha.'3 a z-score of 0.13 andt he event of the...

Lithium inc is considering two mutually exclusive projects, A and B. Project A cost $95,000 and is expected to generate $65,000 in year one and $75,000 in year two. Project B cost $120,000 and is...

his assignment presents code that collects a number from the user and then displays the number and a secret account number.