How to Find the Rank of a Matrix (with echelon form) | Linear Algebra

Thanks

Thank you so much 😢 you have cleared the pain of my college math

What notes app is that

@WrathofMath Thankful to you🥰

This was the simplest and clearest explanation I have ever heard of rank, no complicated concepts, no silly jumps from one matrix to another. Thank you so much for such a clear explanation :)

Thanks, man, great explanation!

Thanks so much for this helpful video 🥲

thanks!!

Thanks 😊

which app did you use

I don't undestand

Your content is always presented with such clarity, and I truly appreciate that!! Thanks a lot!
Small verification required: We will calculate the row echelon form when rows and columns in the matrix are linearly independent, right? and then find its rank.......
because we did not calculated row echelon form in case of linearly dependent rows and columns ie; matrix C and D

I did not understand one thing you said

I love how simple you made this explanation to be. My professor basically lectures like we've taken the course before and it's been kinda rough.

The last example still confuses me, the third result in the E matrix, can I add row 4 to row 2 and then add row 2 to row 4 to eliminate them all ? After that I swap row 4 and row 2 so that the rank will equal to 2.

thanks for the video!!!

Spectacular!

bro this is simple af ,thanks alot

quick, easy to understand, good job!

Thanks alot

you looked into my soul with eyes, sorry off topic ik
😂

Regarding the 4th example, when I tried reducing to REF by carrying out operations on the rows as in other examples, I got rank(D)= 3. This contradicts what you got by carrying out an operation on the column. Please, I need clarification. Thanks in anticipation of your honorable response.

How do you know the rank without using gaussian Elimination.

I think you mean linearly dependent right? Because doesn't linearly independent mean trivial solutions? which also means all the scalars are 0's?

thanks for great explanation

can you do ri <-> rj and still get same rank?

I thought that that in row echelon form, all leading entries from the left need to be 1. This seems to contradict example A. Is what have I been told wrong?

are you crazy ?????????????

How to prove that row rank = column rank

I have so much confusion on row echelon form. UT matrix should be zeros okay got it. But what about diagonal ? Some say that all elements must be 1 and some say it doesn't matter :(

As someone struggling with university math, this was super helpful. Thank you so much.

Super helpful. Thanks

This was super helpful. Thank you so much!

Stupid question, so if matrix A is known with 4 independent rows, and 2 independent column, the rank(A) will be 2? like min of rank-per-row and rank-of-col?

Thank you so much for this great video. Math bless you man

finally someone who managed to clearly explain what to do, thanks a lot

Are the dimension and the rank of a matrix the same?