Find a homogeneous linear system with two equations that are not multiples of one another and such

Question:

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.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Elementary Linear Algebra with Applications

ISBN: 978-0471669593

9th edition

Authors: Howard Anton, Chris Rorres

See More Books

Question Posted: Jun 17, 2016 07:58 AM

See More 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...
Suppose Targets stock has an expected return of 20% and a volatility of 40%, Hersheys stock has an expected return of 12% and a volatility of 30%, and these two stocks are uncorrelated. a. What is...
Large Lots is planning a seven-day promotion on a discontinued model of 31" color television sets. At a price of $575 per set, the daily demand for this type of TV has been estimated as follows:...
For a large Internet service provider (ISP), web virus attacks occur at a mean rate of 150 per day. (a) Estimate the probability of at least 175 attacks in a given day. (b) Estimate the probability...
The Mach number for a body moving through a fluid with velocity $V$ is defined as $V / c$, where $c$ is the speed of sound in the fluid. This dimensionless parameter is usually considered to be...
Pryor Sales, Inc., is authorized to issue 190,000 shares of common stock and 10,000 shares of preferred stock. During its first year, the business completed the following stock issuance transactions:...
Imagine two countries (A and B) operate in the Gold Standard era. The gold content of the country B's currency (B$) is twice that of the country A's currency (A$). The transportation cost of the gold...
Although it can be formally proved that the code in Table 10.3 is both linear and cyclic, use only two tests to partially prove the fact: Table 10.3 a. Test the cyclic property on codeword 0101100....
Use the result in part (a) to find An if 00c 0b0 a01
Find positive integers that satisfy x + y + z = 9 x + 5y = 10z = 44
The managers of Classic Autos Incorporated plan to manufacture classic Thunderbirds (1957 replicas). The necessary foundry equipment will cost a total of $4,000,000 and will be depreciated using a...
(3 marks)A diffraction grating has 700slits/cm. When blue light (A = 480 nm) is directed through the grating, what will be the separation of the dark fringes on a screen 4.00 m away?
1. A nurse who has been an LPN/LVN for 10 years is meeting with an advisor to discuss thepossibility of taking classes to become an RN. The advisor interprets which statement by thenurse as the...
Name and explain 2 advantages of having a liquidated damages clause in the contract.
1. A nursing student is learning about effective time management in her first semester of nursing school. Which action by the student indicates that she understands the first critical step? a.Setting...
1.a) (4 marks)An oil slick 122 nm thick (n = 1.4), lying on water, is illuminated by white light incident, perpendicular to its surface. What color will the oil appear and calculate the wavelength.
What causes chromatic aberration? (a) Light is an electromagnetic wave and has intrinsic diffraction properties. (b) Different wavelengths of light give different angles of refraction at the lens-air...
When the Department of Homeland Security created a color-coded system to prepare government officials and the public against terrorist attacks, what did it do right and what did it do wrong?
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.
Athens Gas Station has figured out the weekly demand distribution for their gas sales. Each gallon of gas sold at the pump results in a profit of 10 cents/gallon and any lost sales results in a cost...
1. The maximum pressure an eardrum can withstand without rupturing is Pmax = 3.0102 Pa. Assume a sound is made at that pressure. If the density of air is, p=1.20 kg/m, and the speed of sound is 340...
52. A wave is sent down a string with a linear mass density of 1.600 x 10-4 kg/m. The wavefunction that describes this wave is: y(x,t) = (0.021 m)*sin{(2.00 rad/m)*x + (30.0 rad/s)*t} What is the...

Find a homogeneous linear system with two equations that are not multiples of one another and such

Question:

Step by Step Answer:

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 the full answer

Elementary Linear Algebra with Applications

Students also viewed these Linear Algebra questions