The Single Most Undervalued Fact of Linear Algebra
Matrices are graphs
Hey! It's Tivadar from The Palindrome.
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Tivadar
This connection really clicks for me. The matrix-graph duality definately makes eigenvalues way more intuitive when you think about them as describing graph structure. I worked on some network analysis stuff last year and wish I'd seen this framing then—would've saved alot of debugging time. Though I wonder if this perspective gets harder with really sparse matrices where the graph becomes almost trivial.
Between 7:20 and 7:30 the last equation is missing the transpose notation — it currently shows PAP but it should P(t) A P
Please confirm if my observation is correct
Thanks