Linear Algebra: Ch 2 - Determinants (26 of 48) Product of Determinants: 2x2

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In this video I will find |A|= ?, |B|=?, |AB|=?, |BA|=?, given A and B are 2x2 matrices.
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• Linear Algebra: Ch 2 -...

[@mouhamadmoustafa6538]

Sir don't u mean det(A) . Det(B) =... The rule in the red color ?

[@MichelvanBiezen]

You are correct. Thanks for pointing that out.

[@kalpanapriya8629]

He explained every thing in an understanding way, when you found the issue then you people fully understand the problem, that's his final motive

[@MichelvanBiezen]

Yes indeed. 👍

[@historicShots]

very helpful....thank you very much.

[@Genesh]

I did not realize this relationship before. As usual, a wonderful explanation. The only issue I saw was that the relationship you put on the board in red is not correct, but what you said in the video was correct. You put det(A)*det(A)=det(AB)=det(BA), but you said det(A)*det(B)=det(AB)=det(BA).

[@MichelvanBiezen]

Thank you. Yes that should be "det(B)"

[@Clifffffffffford]

Thanks !

[@autuvu9401]

Is it correct if I multiply it as (-2×1+4×-4 -2×(-3)+4×2) for the first row and the same step for second row?

[@MichelvanBiezen]

That is exactly how it is done. (Check it to see that you get the same answers as in the video).

[@autuvu9401]

@@MichelvanBiezen (⁠◍⁠•⁠ᴗ⁠•⁠◍⁠)⁠❤(⁠◍⁠•⁠ᴗ⁠•⁠◍⁠)⁠❤(⁠◍⁠•⁠ᴗ⁠•⁠◍⁠)⁠❤ thank you!

[@rajav8648]

Thank you sir.,

[@MichelvanBiezen]

Most welcome

[@ashnaashraf5856]

Thanks 😊😘

[@MichelvanBiezen]

Welcome 😊

[@selindoga]

5:41 it should be det(B) so the equation is det(A)*det(B)=det(AB)=det(BA). (Someone also mentioned that in the comments)

[@MichelvanBiezen]

Yes indeed, that is a misprint. It should be det (B).

[@user-pn8pv6cd1c]

6:29 😂😍

[@MichelvanBiezen]

Thanks!

[@javeda]

Please in the last formula replace one determinant A with determinant B

[@Clifffffffffford]

Thanks !