MATH221 · Annotated SlidesChapter 7 — Norms of Vectors and Matrices
Chapter 7 · Annotated slides

Norms of Vectors and Matrices

Vector norms (l₁, l₂, l∞), distances and matrix norms.

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    Slide 2: 7.1 Norms of Vectors and Matrices 447
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    1. ‖x‖∞ = max |xᵢ|; ‖x‖₂ = √(Σxᵢ²); ‖x‖₁ = Σ|xᵢ|. Matrix ∞-norm = maximum absolute ROW sum.
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    ‖(1, −4, 2)‖∞ =

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    The ∞-norm of [[1, −2], [3, 4]] is:

    Slide 3:  Iterative Techniques in Matrix Algebra 448 CHAPTER 7
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