Linear Algebra 11x: The Transpose of a Product

[vidhigulatixiinm]

Thanku sir for this great explanation 👍❤️

[swalscha]

Thanks for the video, I know have better understanding of the transpose. Although, I trouble to compare what's the meaning of the transpose in the geometrical space and, even harder, the polynomials space.

[abajabbajew]

A nice and compact argument.

([R x C][C x R'])*T = [R x R'] => [R' x C][C x R] = [R x R]

Returning to the previous example of inverse of a product, it's apparent the _same_ reasoning is in effect there also - only the fact those matrices _happen_ to be square:

e.g. [3 x 3'][3' x 3] = [3 x 3] => [3' x 3][3 x 3'] = [3' x 3']

[IsraelGaius]

Not good at all....he skipped the vital part