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linear algebra

Gilbert Strang: Four Fundamental Subspaces of Linear Algebra

Lex Fridman

Gilbert Strang introduces linear algebra as a powerful and beautiful subfield of mathematics, highlighting his particular pride in teaching the concept of the four fundamental subspaces. Although these spaces were known long before he named them collectively this way, they form a cohesive framework …

Gilbert Strang: Linear Algebra vs Calculus

Lex Fridman

In this discussion regarding the pedagogical order of mathematics, Gilbert Strang reflects on the intuitive difficulty students face when visualizing planes in multi-dimensional spaces compared to concepts from calculus. He acknowledges that while mathematically sound, imagining these higher dimensi …

Gilbert Strang: MIT OpenCourseWare (OCW)

Lex Fridman

Gilbert Strang reflects on the profound impact of MIT OpenCourseWare, noting that hundreds of thousands to millions of people watching these lectures demonstrates a truly powerful reach for higher education. He recounts how this initiative originated from a committee appointed by then-President Vest …

Gilbert Strang: Singular Value Decomposition

Lex Fridman

Gilbert Strang opens his discussion on linear algebra by highlighting its profound beauty and deep connections between ideas that may initially appear unrelated to one another. He emphasizes that while mathematics is an amazing subject, it becomes particularly powerful when applied to real-world dat …