Elementary row operations to reduce the augmented matrix, Mathematics

Assignment Help:

Consider the system of linear equations

X + ay = 1

2x + 8y = b

Where a and b are real numbers.

(a)  Write out the augmented matrix for this system of linear equations.  

(b)  Use elementary row operations to reduce the augmented matrix to row-echelon form.  

(c)  Determine for what values of a and b does the system have infinitely many solutions.  

(d)  Determine for what values of a and b does the system have no solution.  

(e)  Determine for what values of a and b does the system have an unique solution.


Related Discussions:- Elementary row operations to reduce the augmented matrix

Definition of differential equation, The first definition which we must cov...

The first definition which we must cover is that of differential equation. A differential equation is any equation that comprises derivatives, either partial derivatives or ordinar

Example of probability, Example of Probability: Example: By using...

Example of Probability: Example: By using a die, what is the probability of rolling two 3s in a row? Solution: From the previous example, there is a 1/6 chance of

Quadaric equation, two numbers differ by 7 and have a product of 120.what a...

two numbers differ by 7 and have a product of 120.what are they ?

Alegbra, what iz the value of x if y=56

what iz the value of x if y=56

Prove that the poset has a unique least element, Prove that the Poset has a...

Prove that the Poset has a unique least element Prove that if (A, ) has a least element, then (A,≤)  has a unique least element. Ans: Let (A, ≤) be a poset. Suppose the po

Illustrate Ionic solids, Ionic solids, which have anionic vacancies because...

Ionic solids, which have anionic vacancies because of metal excess defect develop colour. Illustrate with the help of a suitable example.

Ratios, a doctor sees 3 boys to 5 girls in one week . If he sees 40 boys in...

a doctor sees 3 boys to 5 girls in one week . If he sees 40 boys in one day then how many girls does he see that day

What is the probability a 3 will be rolled and a tail tossed, A die is roll...

A die is rolled and a coin is tossed. What is the probability that a 3 will be rolled and a tail tossed? Find the probability of each event separately, and then multiply the an

Write Your Message!

Captcha
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