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Currently Playing: How "Complicated" is an Image? Rank, the Outer Product, and the SVD

This video introduces the concepts of rank, the outer product, and singular value decomposition using examples from electronics and computer science. Become a Patreon member: https://www.patreon.com/PhysicsfortheBirds 0:00 Making an LED Matrix 1:14 Using an LED Matrix 3:01 Flags 5:41 Singular Value Decomposition 8:42 Multiplexing Rank, the Outer Product, and SVD: Lay, David C. _Linear Algebra_ Using flags to visualize low rank matrices: https://www.youtube.com/watch?v=9BYsNpTCZGg Epsilon Rank: https://arxiv.org/abs/1609.09494 Mario Paint: https://www.youtube.com/watch?v=4VTzH6phgPw LED Matrices: https://docs.broadcom.com/doc/AV02-3697EN