Solve system of equations, Algebra

Assignment Help:

Solve out the following system of equations by using augmented matrices.

3x - 3 y - 6 z = -3

2x - 2 y - 4 z = 10

-2x + 3 y + z = 7

Solution

Following is the augmented matrix for this system.

1029_Solve system of equations.png

We can obtain a 1 into the upper left corner by dividing by the first row by a 3.

1138_Solve system of equations1.png

Next we'll obtain the two numbers under this one to be zeroes.

2210_Solve system of equations2.jpg

And we can end. The middle row is all zeroes apart from the final entry that isn't zero. Note that it doesn't matter what the number is as long as it isn't zero.

Once we reach this kind of row we know that the system won't contain any solutions and therefore there isn't any cause to go any farther.

Okay, let's see how we solve out a system of three equations along with an infinity number of solutions along with the augmented matrix method.  This instance will also illustrate an interesting idea regarding systems.


Related Discussions:- Solve system of equations

Solve systems using method of substitution, Example   Solve following syst...

Example   Solve following systems. (a)    3x - y = 7                 2x + 3 y = 1 Solution Thus, it was the first system that we looked at above.  Already we know th

Vector algebra, #addition of vectors is associative

#addition of vectors is associative

Modeling Ratios, This is my question I need help with: The ratio of adult d...

This is my question I need help with: The ratio of adult dogs to puppies at a park on Monday was 3:2. There are 12 puppies there that day. Tuesday, 15 adult dogs were at the park.

Rational exponents, what is rational exponents and give some examples?

what is rational exponents and give some examples?

Homework question, 75 band members need to raise a total of 8250.00 for a t...

75 band members need to raise a total of 8250.00 for a trip. So far they have raised 3120.00. How much money, in dollars, per band member, still needs to be raised for the trip

Thirty percent of the students in a mathematics clas, Thirty percent of the...

Thirty percent of the students in a mathematics class received an “A.” If 18 students received an “A,” which of the following represents the number of students in the class?

Solve system of equations, Solve out the following system of equations by u...

Solve out the following system of equations by using augmented matrices. 3x - 3 y - 6 z = -3 2x - 2 y - 4 z = 10 -2x + 3 y + z = 7 Solution Following is the au

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