Laplace expansion for computing determinants | Lecture 29 | Matrix Algebra for Engineers

How to compute a determinant using the Laplace expansion (cofactor expansion, expansion by minors).

[manaynaise]

Thank you very much for this video! I am beginning physics, and was curious about why we would subtract the j-component when solving for the cross product vector. This was a very comprehensible explanation of why.

[shivangisengar]

Thank you so I was so confused about the +, -, + logic.... Your video really helped me... Thanks again sir!!

[nonentity]

Thanks a lot, I got confused about the sign logic and this lecture clarified everything.

[electrious_]

Thanks a lot man, I really appreciate it, you are helping me in Linear Algebra, my prof doesn't explain it in a good way, you're amazing😁

[dixshants]

how is he even doing the writing? is he writing on glass? Is this some editing genius. also, thank you for that explanation

[Kittyravenhog]

Thank you so much! I'm a Vietnamese student and will have to take calculus mid term exam tomorrow. Now I get the rule 💪💪💪💪❤❤

[ebi]

I'm more impressed that he's doing this with all those flipped

[JazzyMiles-ilcy]

Thank you i love you, also like the way you write backwards, really clever

[danielakunga]

It's really helpful video it makes it easier to understand

[flaguser]

I almost wanted to code it, but the complexity scales by n factorial (in the general case where there might be no zero elements). Wikipedia mentions LU decomposition and Bareiss algorithm as n^3 alternatives.

[thecaramel-]

honest to god I didn't understand anything during my lecture in class today about when it came to solving 4x4 matrixes and u have helped greatly thanks!!
p.s do you write in inverse or is there some optical illusion going on with special glass where you can write normally and I also perceive it as normal writing?

[nikshayyadav]

hello Sir,
what is there are no zeros in any column?

[willg]

how do you get you pen effects in your videos

[VitoMusumeci]

OMG! Tom Hanks is way smarter than i thought!

[hongsethya]

Thank god! i find this video ramdomly. because my teacher use across second roll in stead of first, and it's messup my brain because I can't understand why (- + -....) normally we use first roll (+ - +)

[catimini-uoxl]

Much easier to write and visualize columns and rows during operations
a sub1 b sub1 c sub1
a sub2 b sub2 c sub2
a sub3 b sub3 c sub3

Rather than
a b c
d e f
g h i

[rohithvemulapally]

what if there are no zeros in the 4*4 matrix?

[Bananaaa]

I he writing on inversely on the whiteboard, whoa

[linhnguyenvu]

I think we much thank you not you jeffrey Chasnos