Thanks for this lovely break down of the Row Reduction Method of obtaining the inverse of a 3×3 matrix. I was enlightened.
Alternatively you swap the second row and the third row since interchange rows also part of elementary row operations.
Please why did you sum the total at the front of each row? How does that help us, I didn't get that part, please explain might be useful to me 🙏🏼
Thanks short and amazing explanation !!! How do you know when we add or subtract the rows where do you get the ideas of it please ?
Listen to explanation on video or see transcript or see post uploaded on 10/12/18 in Community tab for a summary of the method we've used here.
Thank you very much but i will want to ask what if the sum of row doesn't corresponds to the figure gotten outside the bracket??
Why do we need to add the sum of each row
@@MathsWithJay everytime you do rref, why do you always get the sum of each row on the right side?
This is not necessary - it's just a way of checking that we haven't made an error.
If your initial matrix had a 0 in the top left couldn't you swap it with another row?
What is the need of adding the rows across??
@Liban Warsame: This is not necessary - it's just a way of checking that we haven't made an error.
@@MathsWithJayhow do we use it to know if we made an error or not
please get a better microphone
@Carter: Once we have 10K subscribers, we'll be eligible to make our recordings in UA-cam studios where they have quality equipment
What a simple method. No need to find the determinant. Thank you.
You're welcome!