Rank-Nullity Intuition | Rank-Nullity Theorem for Vector Space

This particular video assumes familiarity with vector space theory including linear transformations, their rank, and nullity. In this video, we present an intuitive approach to understanding the Rank-Nullity Theorem for finite dimensional vector spaces. Along with intuition behind why the theorem holds, we present clear arguments for the key steps of the proof along the way. #RankNullityTheorem #LinearAlgebra #VectorSpaces CHECK OUT OTHER TYPES OF VIDEOS: ================================ GRE Math Subject Test: https://www.youtube.com/playlist?list=PLBiVnG9A5gceFbk7oTBHALETI2SUmplIL Putnam Math Competition: https://www.youtube.com/playlist?list=PLBiVnG9A5gcdLg0Im3qewDrgcMxpbjcqN Math Theorem Corner: https://www.youtube.com/playlist?list=PLBiVnG9A5gccu9O8aCjVsynisfQLQyGOe Math Problems Corner: https://www.youtube.com/playlist?list=PLBiVnG9A5gcc_1Kzd2xkHMXdO8zHz-W_4 Math Insights: https://www.youtube.com/playlist?list=PLBiVnG9A5gcfHRbtZcfQdJuUMAS6v48uj Academic Advice: https://www.youtube.com/playlist?list=PLBiVnG9A5gce-PPdJQmtPNMsivAKKuXwe GET MY BOOK ON AMAZON!! ======================== "Number Theory Towards RSA Cryptography in 10 Undergraduate Lectures" https://www.amazon.com/Number-Theory-Toward-Cryptography-Undergraduate/dp/1978457464 CHECK ME OUT ON THE INTERNET!! ============================== Website: www.mohamedomar.org Twitter: @ProfOmarMath Instagram: profomarmath YouTube: www.youtube.com/ProfOmarMath And of course, subscribe to my channel!