Trivial solution of equation, Mathematics

Assignment Help:

Specified a system of equations, (1), we will have one of the three probabilities for the number of solutions.

1.   No solution.

2.   Accurately one solution.

3.   Infinitely many solutions.

Before going on to the other section we require to see at one more situations. The system of equations in (1) is termed as a non-homogeneous system whether at least one of the bi's is not zero. If though all of the bi's are zero we identify the system as homogeneous and the system will be as,

a11 x1 + a12 x2 +................+a1n xn = 0

a21 x1 + a22 x2 +.............. +a2n xn  = 0

...................

an1 x1 + an2 x2 +............... +ann xn  = 0                                 ...................(2)

Now, notice that in the homogeneous case we are guaranteed to have the following solution.

x1 + x2+....... +xn  = 0

This solution is frequently termed as the trivial solution.

The fact given above can be modified to the following, for homogeneous systems.


Related Discussions:- Trivial solution of equation

Solving equations by completing the square method, I need help for Solving ...

I need help for Solving Equations by Completing the Square Method, can anybody help me out for this?

Matrix addition and subtraction, What is Matrix addition and subtraction? I...

What is Matrix addition and subtraction? Illustrate the procedure of Matrix addition and subtraction.

The probability that five randomly selected 3-year old snake, The probabili...

The probability that a randomly selected 3-year old garter snake will live to be 4 years old is .54 (assume results are independent).  What is the probability that five randomly se

Math, #question.help.

#question.help.

Errors are useful in learning maths, Errors Are Useful :  While teaching c...

Errors Are Useful :  While teaching children, you must have found theft making mistakes off and on. How do you respond to the errors'? What do they tell you about the child-failur

Cartesian product of sets, The Cartesian product (also called as the cross ...

The Cartesian product (also called as the cross product) of two sets A and B, shown by AΧB (in the similar order) is the set of all ordered pairs (x, y) such that x€A and y€B. What

How many walkers got a ride school from their parents today, In Daniel's fi...

In Daniel's fifth grade class, 37.5% of the 24 students walk to school. One third of the walkers got a ride to school presently from their parents. How many walkers got a ride to s

SHOPPERS`STOP, 3. How are Indian customers visiting Shoppers’ Stop any diff...

3. How are Indian customers visiting Shoppers’ Stop any different from customers of developed western countries? 4. How should Shoppers’ Stop develop its demand forecasts?

Differential equations, There isn't actually a whole lot to this section th...

There isn't actually a whole lot to this section this is mainly here thus we can get several basic concepts and definitions out of the way.  Most of the concepts and definitions in

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