MATH221 · Chapter 7 · Annotated SlidesNorms of Vectors and Matrices
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Norms of Vectors and Matrices

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

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All 6 slides
  1. 1 Slide 1
  2. 2 7.1 Norms of Vectors and Matrices 447
  3. 3  Iterative Techniques in Matrix Algebra 448 CHAPTER 7
  4. 4 Slide 4
  5. 5 Slide 5
  6. 6 Slide 6
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7.1 Norms of Vectors and Matrices 447

Slide 2: 7.1 Norms of Vectors and Matrices 447

Notes

  1. ‖x‖∞ = max |xᵢ|; ‖x‖₂ = √(Σxᵢ²); ‖x‖₁ = Σ|xᵢ|. Matrix ∞-norm = maximum absolute ROW sum.

Exam angle

PredictionQ1

‖(1, −4, 2)‖∞ =

PredictionQ2

The ∞-norm of [[1, −2], [3, 4]] is:

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 Iterative Techniques in Matrix Algebra 448 CHAPTER 7

Slide 3:  Iterative Techniques in Matrix Algebra 448 CHAPTER 7
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