System Of Linear Equations | Non Homogeneous Equation | Matrices

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This video lecture of System Of Linear Equations | Consistency & Inconsistency | Non Homogeneous Equation |Matrices | Linear Algebra | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand the following topic of Mathematics:
1. How To solve Non Homogeneous Equation System Of Linear Equations Using Matrix?
2.Test Of Consistency and Inconsistency Of Non Homogeneous Equation System Of Linear Equations.
3. Condition for Unique Solution, Infinite Solution, No Solution.
4. Short Trick To System Of Linear Equations Using Matrix.
5. This is part Of Linear Algebra this is also known as Gauss Elimination Method.
#SystemOfLinearEquations #NonHomogeneous #TestOfConsistency #Matrices #LinearAlgebra #VectorSpace #LinearTransformation #LinearlyIndependent #Linearlydependent #EngineeringMahemaics #BSCMaths #GATE #IITJAM #CSIRNET
This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech & M.Sc./M.Tech. students also preparing for NET, GATE and IIT-JAM Aspirants.
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Time Stamp
System of non-homogeneous linear equation-
0:00 | An intro
0:18 | Topic introduction
1:33 | System of non-homogeneous linear equation
5:31 | Consistency of non-homogeneous linear equation
6:00 | Consistent: Unique solution Example
7:53 | Consistent: Infinite solution Example
10:27 | Inconsistent: No solution Example
12:20 Methods of solving non-homogeneous system: Gaussian Elimination Method
12:38 Problem 1- No solution Example
17:53 Problem 2- Infinite solution Example
22:43 Problem 3- Unique solution Example
26:14 Problem 4
29:52 Problem 5
33:05 Problem 6 (For assignment )
33:22 Conclusion of video

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Dr.Gajendra Purohit

[gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work.
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[chinmaywali]

Best teaching sir 🙌❤
For practice problem ans is:-
No solution : when λ=5 and μ≠9.
Uniqe solution : when λ≠5 and μ≠9
Infinite solution : when λ=5 and μ=9.

[RajeshRajesh-qw]

1. λ=5 no solution
2. λ≠5 unique solution
3. λ=5, μ=9 infinite solution
Answer of the last queston

[waleedahmed]

25:00 how was the value of row 2 changed? Which row operation do you perform on row row 2🤔

[biswajitbarik]

Thank u sir 👍👏....Here is the answer of the last question....
(i)lambda=5, miu is not =9
(ii)lambda is not =5
(iii)lambda=5, miu=9
🙏

[barcadas]

In problem 3, how did you get the second row as [0 1 9 -35] during transformation? Plz explain Sir

[kundanmandal]

Sir, 24:58 me jo aapne operations banaaya wo,
1 2 0 : 4
0 -3 2 : -11
0 0 29 : -116
0 0 -17 : 68
ye hoga....

[prankushsharma]

in example 3 i think something wrong because answer is right but calculation is wrong because doing by R4 -> 3R4 - 7R2 not going to all element 0 in last row

[tanujbhattdotin]

First time I'm feeling good by seeing lecture and learning a precious information in a non complicated way
Very nice sir keep it up and sir make more videos for btech students ❣

[pavankumarpk]

Sir in the first question at 16:42 I think its "R3-> R3 - 2R2" instead of 2R1

[AgyaniHRCreations]

25:05Sir g problem 3 galat solve kari hai...
R2 pe operation nahi lgaya fir b change kar di
And
R4 0 nahi ho rahi
Explain us please🙏🙏🙏

[ritudhiman]

Really you are great kyun ki aap sabhi bacho ko dhayan mein rakte ho na ki unko jo coaching lete hai specially, kyun ki har koi coaching nahi le sakta

[shubhangisood]

Now finally the concept is clear after so long... I used u hate these questions and now I just fell how easy it is ! Thanks sir for making it so clear

[jaishreeramjaibajrangbali]

In problem 3 in last
R4 _ 29 R4 +17 R3
Then unique solution

[MaheshKumar-ccln]

Thanks you sir. I cleared a very tough exam of MBA contaning complecated numericals covered in your channel. The subject was MS-08 Quantitative Analysis for Managerial Applications. I followed your lectures precisely on relevant topics & obtained grade B whereas in previous two attempts I could not clear the exam.
Thanks a lot.

[अंकुशशर्मा-मठ]

Sir g problem 3 galat solve kari hai...
R2 pe operation nahi lgaya fir b change kar di
And
R4 0 nahi ho rahi
Explain us please🙏🙏🙏

[bhartithool]

Thanks sir, u r explaining in such a nice way...if the problem is seeing difficult but it becomes easy by ur concept

[manjushwar]

nice efforts in making this video !! I understood all the concepts !!

[harekrishanaharekrishana]

Answer of the last question is...
For unique solutions
Lambda not equal to 5
Meu not equal to 9
2.for no solution:
Lambda equal to 5
But mew not equal to 9
3. For infinite many solutions:
Lambda=5
Mew=9

[janhvinarayan]

If the system of equations,
λx+2y−2z=1,
4x+2λy−z=2,   
6x+6y+λz=3
has a unique solution, then λ= ?
sir ek aise type ka question bhi lelete, isme calculation kaafi complex ja rahi fractions ki vajah se