Linear Algebra Lecture 30 | Dimension & Bounds on Independent and Spanning Sets.
5:49
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Linear Algebra Lecture 30 | Dimension & Bounds on Independent and Spanning Sets.
In this lecture, we formally introduce the concept of dimension of a finite-dimensional vector space, and establish two fundamental inequalities: 1️⃣ Independent sets can never have more than \dim V elements. 2️⃣ Spanning sets must contain at least \dim V elements. 📌 Covered in this video: • Recap: all bases have the same number of ...
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Spanning Vectors Examples
Span and linear independence example
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Span and linear independence example
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Lecture 2: Spanning Vectors | Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra | Mathematics | MIT OpenCourseWare
Lecture 2: Spanning Vectors | Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra | Mathematics | MIT OpenCourseWare
mit.edu
Apr 1, 2022
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