This is honestly mind-blowing and amazing. I love your lectures so much! Thank you!!
mistyborn
"Squishing away the kernel" sounds like fun 😃
PunmasterSTP
I'm not really finding anything describing this transformation from row space to column space. All I see on rank-Nullity is the division of dimensions into column space and null space. But reaching (way) back into my linear algebra, this makes me think of singular value decomposition. Is what you're referring related to SVD?
rasraster
Domains (groups) are dual to co-domains (images).
Target vector space -- teleological.
Normal subgroups are dual to homomorphisms (factor groups) synthesize the kernel.
Thesis is dual to anti-thesis creates the converging thesis or synthesis -- the time independent Hegelian dialectic.
