Linear Algebra 14TBD: Derivation of the 2x2 Determinant

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So elegant. I never felt I understood Linear Algebra as much as I now. Much Thanks To You Sir

huidezhu

Many thanks for having such a beautifully cleaned blackboard and such clearly written symbols. When looking at the lectures from a small screen this makes a great difference, especially when tensorial notations is involved where primed subscripts are often used.

georgeorourke

Thank you! So simple yet never seen in textbooks

bipolarny

You are my favorite person, ever. Thank you so much for your videos dude.

EdwardNusinovich

great ... of course ...and if the det is zero the system is linearly defendant now I understand this finally ... thank you

TheNetkrot

amazing explanation, i finally get it

romansmirnov

Nice video though I have a question. It could have well been bc - ad = 0, which is definitely not how we see determinants. Any reason why its the other way round?

gobit

Jesus after so many years, finally I learned its origin and its usage.

Neo-kxfe

Useful video to better explain what was taught rather superficially to me in A-level further maths. Just one question: From ad=bc, it is immediate that
ad-bc=0
or alternatively
bc-ad=0
or alternativley
|ad-bc|=0.
Why is the first of these options, ad-bc, chosen to be the determinant, rather than either of the other two?

BernardCastle

Since ad-bc=0 and also
ad-bc=|A|., so does it mean that | A|=0?

hamzakhalid

What would I find if I take the derivative of a determinate of many or infinite functions? Would a pattern emerge? Would I find something profound?

joelrendon

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Deriving the inverse of a 2x2 matrix [Yr1 Further (Pure Core)]