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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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

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

mouhamadmoustafa
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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

Genesh
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5:41 it should be det(B) so the equation is
(Someone also mentioned that in the comments)

selindoga
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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?

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

javeda