The last example is curious. The areas of the red square and the yellow parallelogram are the same by definition, but we can also deduce that looking at the Det(A) which tell us by what factor space gets scaled, in this case, Det(A) = 1 (1x1-3x0), so any area affected by this transformation would get scaled by a factor of 1 ( keeping its original size/area).
Transforming the pre-image (domain) to the image (co-domain) makes perfect sense with that last example! Thanks again!
I've watched the all MIT lectures on linear algebra but the last example really made everything click! thank you!
thank you so much!!! i actually see the algebra without the matrix makeup
You explain so well! I watched many videos, but yours filled the gaps, so I could connect the dots. Thank you!
Best Linear Algebra Series on RUclips !
I studied for a year and had no idea what was going on and you just make it sooooo simple
thank you so much Kimberly !! By far the most video on the topic
1:41 She warned you guys!
Thank you, ma'am!
very simple way ....amazing
Just took my first summer linear algebra test made a 96 Whoop! Time to review for the next one!
Well done!
U re the best
The last example is curious. The areas of the red square and the yellow parallelogram are the same by definition, but we can also deduce that looking at the Det(A) which tell us by what factor space gets scaled, in this case, Det(A) = 1 (1x1-3x0), so any area affected by this transformation would get scaled by a factor of 1 ( keeping its original size/area).
Thanks it is very helpful
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الله يسعدش
Complete.
Please, can you briefly explain why a 3x2 matrix is in R3? it has 2 linearly independent basis, so shouldn't it be in R2?
why is multiplaying -1*3+-5=-2
question 12:20
At1:00 the codomain isn't the same as the image.