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This chapter collects and recalls definitions and key facts learned in Linear Algebra, from vector spaces to linear transformations, which will play a significant role in Multilinear Algebra. Along the way, we fix some notations and standards for this text. We introduce the Einstein convention, which we will subsequently mostly follow.

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Review of Linear Algebra

  • 章节

  • 发表日期：

    2025年

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  • Ana Cannas da Silva,
  • Özlem Imamoğlu,
  • Alessandra Iozzi

摘要

This chapter collects and recalls definitions and key facts learned in Linear Algebra, from vector spaces to linear transformations, which will play a significant role in Multilinear Algebra. Along the way, we fix some notations and standards for this text. We introduce the Einstein convention, which we will subsequently mostly follow.