Linear Algebra 44 | Determinant in 2 Dimensions

[@labibsoufiane8987]

Thank you very much ❤❤❤

[@kaushlenderdwivedi5513]

Thanks sir

[@rafaelschipiura9865]

"The determinant helps with systems of linear equations". You should specify that it helps with SMALL systems of linear equations... The algorithm for solving systems of linear equations with determinants is O(n!) on the number of variables!. Again, factorial!

[@rafaelschipiura9865]

And again, only if the number of variables and equations is equal.

[@brightsideofmaths]

@@rafaelschipiura9865 There are more videos about that in the series.

[@brightsideofmaths]

"The determinant helps with systems of linear equations"
This was a theoretical argument and not a calculation one.

[@rafaelschipiura9865]

@@brightsideofmaths Well, does it help? I don't think so. Calculation or otherwise.

[@rafaelschipiura9865]

@@brightsideofmaths What I mean is that one should just think about the Span as a proxy for the linear independence, there's no need to use the determinant unless one is actually interested in the area of the parallelepiped, I think.