In this video, I showed how to use Cramer's Rule to solve a system of Linear Equations
Пікірлер: 17
@holyshit92210 ай бұрын
You could mention when Cramer's rule is possible and that every consistent system of equations can be reduced to form where Cramer's rule is possible Yes such series of videos is good idea
@sobhysoliman61246 ай бұрын
You are an excellent teacher I love your way for explanations.
@PrimeNewtons6 ай бұрын
Thank you! 😃
@punditgi10 ай бұрын
The most important rule of all is to watch Prime Newtons! 🎉😊
@kingbeauregard10 ай бұрын
I heart Cramer's Rule. Disadvantage: it's slow for large matrices. Advantage: it doesn't introduce scads of inaccuracies when you try to program it. Gaussian Elimination involves lots of divisions throughout the process, which leads to inexact results. Cramer doesn't involve any divisions except at the final step.
@holyshit92210 ай бұрын
There are divisionless determinant algorithms Some of them needs O(n^4) time but hey it is still polynomial time In fact next order of magintude of complexity is exponential complexity O(n^4) is slower than O(n^3) but not as much as O(2^n)
@kingbeauregard10 ай бұрын
@@holyshit922Well, sure: the determinant itself doesn't involve any division. Cramer's Rule means calculating two determinants and done one division at the end.
@sfundomsezane2 ай бұрын
Your videos are fantastic! Whenever I struggle with a concept, they always help me out. Do you have a video on finding the inverse using Cramer's rule, using adjugate?
@user-xg7ku8hb3q9 ай бұрын
Thanks your lecture is very good compare to other people
@user-xg7ku8hb3q9 ай бұрын
❤
@AlirezaNabavian-eu6fz3 ай бұрын
Quite excellent
@hymacreations94239 ай бұрын
Sir, your explanation is nice.. Why don't you add some other videos like Cayley Hamilton theorm and applications and diagonalization with applications to this matrix playlist...
@Unknown725649 ай бұрын
We can just find that matrix 🔺️ by determinant method , its time saving
@odumosuadeniyilukman10 ай бұрын
I want to ask if cramer's rule can work when all the equations are equal to zero
@PrimeNewtons10 ай бұрын
Nope. If the equations are all zeros, then they are just duplicates of each other, and that makes the determinants all 0.