Homogeneous system of linear equations

Assignment Help Mathematics
Reference no: EM131381856

There are 8 statements given below with a number to the left of each statement. Create anumber from these numbers by selecting all of the statements that are true. For example,if the only true statements are 2, 3 and 5, then create the number 235, and give this asyour answer.

1. Suppose A is an m x n matrix and b is an m x 1 column vector. If the homogeneous system Ax =0 has infinitely many solutions, then the system Ax = b has infinitely many solutions.

2. Suppose A is an m x n matrix and b is an m x 1 column vector. The system Ax = b has a unique solution if and only if the homogeneous system Ax =0 has only the trivial solution.

3. Every homogeneous system of linear equations is consistent.

4. A system of linear equations either has no solution, one solution, or infinitely many solutions.

5. There are systems of linear equations with exactly 3 solutions.

6. If a set is linearly independent, and it has 2 or more vectors in it, then the set will stillbe linearly independent after you remove a vector from it.

7. There is a linearly independent subset of ?R^4 that contains 5 vectors.

8. There is a linearly independent subset of ?R^4 that contains only 1 vector.

Reference no: EM131381856

Questions Cloud

Explain three business risks or threats that might threaten : Explain three business risks or threats that might threaten Whole Foods ability to accomplish their financial goals for the next 3 years. Use examples and references to support your response.
How many adult tickets were sold : A total of 436 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?
What fraction of all bags sold are underweight : Some of the chips are sold in "bargain packs" of 3 bags. What's the probability that none of the 3 is underweight?
Are there any similarities between the christian tradition : The chthonic legal tradition introduces the idea that even at the most basic level of society there are legal traditions. In the textbook, the author divides the chthonic identity into two basic models. Briefly explain these two models, and provid..
Homogeneous system of linear equations : Suppose A is an m x n matrix and b is an m x 1 column vector. The system Ax = b has a unique solution if and only if the homogeneous system Ax =0 has only the trivial solution. Every homogeneous system of linear equations is consistent.
Create a probability model for this game : 100 people play this game. What's the probability the person running the game makes a profit?
Identify characteristics of lges human resources strategy : Identify the positive and negative characteristics of chaebols for both local and global economy. Also, explain the role they play in the South Korean economy. Identify the characteristics of LGE's human resources strategy.
Initial velocity of the particle : A particle has acceleration a(t) = 1 - e^(-t) m/s^2 (meters per second squared) at t seconds. Suppose that the initial velocity of the particle is v0 = 2 m/s and its initial position is x0 = 0 m. Find how far the particle has travelled after 2 s.
Find the mean and standard deviation of your total winnings : Dice and dollars. You roll a die, winning nothing if the number of spots is odd, $1 for a 2 or a 4, and $10 for a 6.

Reviews

Write a Review

Mathematics Questions & Answers

  Questions on ferris wheel

Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.

  Logistic map

This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.

  Finding the probability of cards

This assignment has questions related to probabiltiy.

  Systems of ode

Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.

  Derive the boolean expression

Derive the Boolean Expression and construct the switching circuit for the truth table stated

  System of equations

Evaluate which equations are under-identified, just-identified, and over-identified.

  Linear programming problem

Linear programming problem consisting of only two constraints with one objective function.

  Find the natural domain

Find the natural domain of the given functions.

  Introduction to numerical methods

Compute the coecients of the polynomials using the term recurrence relation.

  Chart of the topological manifold

De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.

  Mathematics in computing

Questions related on mathematics in computing.

  Complex problems

Complex problems

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd