Inverse of 3x3 Matrix using Row Reduction

How to calculate the inverse of a 3x3 matrix by row reduction. See post uploaded on 10/12/18 in Community tab for a summary of the method we've used here.

[@ericchia7237]

What a simple method. No need to find the determinant. Thank you.

[@MathsWithJay]

You're welcome!

[@NARUT0_07]

Thanks a lot. Got all the feelings to do this this type of problems ❤

[@MathsWithJay]

Welcome!

[@vicadesvictor6263]

Thanks for this lovely break down of the Row Reduction Method of obtaining the inverse of a 3×3 matrix. I was enlightened.

[@MathsWithJay]

Glad it was helpful!

[@israeladedeji6103]

I'm so grateful for this elaborate explanation

[@MathsWithJay]

You're welcome!

[@Chela-ws9hg]

You teaching skills are awesome

[@MathsWithJay]

Thank you!

[@Mulkek]

Thanks, and it's so easy & simple!

[@MathsWithJay]

Glad you liked it!

[@syahrialrasyid2539]

Thanks a lot, Jay!

[@MathsWithJay]

My pleasure! 🙂

[@noorfirdausbinabghanikm-pe8852]

Alternatively you swap the second row and the third row since interchange rows also part of elementary row operations.

[@jegedetimileyin407]

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 🙏🏼

[@Randomm525]

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 ?

[@MathsWithJay]

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.

[@felixokoth664]

Congratulations for the good job

[@MathsWithJay]

Thank you!

[@tianelavia7123]

thanks , I am now understanding the topic much better,cheers

[@MathsWithJay]

@Tian Elavia: You are welcome!

[@reengaesh7545]

Thanks so much🙏🏼 I now understand this concept 😊

[@MathsWithJay]

You're so welcome!

[@keerthigagopalakrishnan364]

Wow.. it's really very helpful for me..thank you so much🥺

[@MathsWithJay]

Most welcome 😊

[@isaachavor9749]

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??

[@MathsWithJay]

For example?

[@Jayesh-uf6th]

Woww… Seriously thank you so much ^^

[@MathsWithJay]

@Blank 01: You're welcome 😊

[@hood589]

Thank you thank you thankyou thank you thank you thank you

[@MathsWithJay]

Welcome 😊

[@joyceoula8321]

Wow..this really helped

[@MathsWithJay]

That's great!

[@jeffr249]

i still dont understand why i 1/3R³ and 2R² and etc what method is this called?

[@MathsWithJay]

Row Reduction

[@shaikhthejourneynitp8959]

Thank u mma

[@MathsWithJay]

You're welcome

[@lordnk3698]

Thanks a lot

[@MathsWithJay]

Happy to help

[@springboard9642]

If your initial matrix had a 0 in the top left couldn't you swap it with another row?

[@MathsWithJay]

@Spring Board: Yes, so long as you swap whole rows.

[@johnyjohnjohnson9381]

Why do we need to add the sum of each row

[@MathsWithJay]

At what time in the video?

[@johnyjohnjohnson9381]

@@MathsWithJay everytime you do rref, why do you always get the sum of each row on the right side?

[@MathsWithJay]

This is not necessary - it's just a way of checking that we haven't made an error.

[@naishedangaiso6275]

cheers

[@MathsWithJay]

thanks

[@libanwarsame9291]

What is the need of adding the rows across??

[@MathsWithJay]

@Liban Warsame: This is not necessary - it's just a way of checking that we haven't made an error.

[@jegedetimileyin407]

@@MathsWithJayhow do we use it to know if we made an error or not

[@carterpisani7602]

please get a better microphone

[@MathsWithJay]

@Carter: Once we have 10K subscribers, we'll be eligible to make our recordings in TH-cam studios where they have quality equipment