Linear Algebra 9c-: Review - Column Space Versus Null Space

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  • Опубликовано: 16 янв 2025

Комментарии • 10

  • @MathTheBeautiful
    @MathTheBeautiful  4 года назад +2

    Go to LEM.MA/LA for videos, exercises, and to ask us questions directly.

  • @krakenmetzger
    @krakenmetzger 4 года назад +5

    I think the easiest way to remember: if you view the matrix as a function, the nullspace is a subset of the domain, and the column space is a subset of the target space

  • @kf88743
    @kf88743 7 лет назад +2

    Thank you for the review. This really clarified the confusion that I had after watching the previous video on the relationship between the column space and the null space.

  • @OtterMorrisDance
    @OtterMorrisDance 3 года назад +1

    Another great exposition , thank you Pavel!

  • @forpublicstuff728
    @forpublicstuff728 2 года назад +1

    Thank you!

  • @BartAlder
    @BartAlder 9 лет назад +2

    Thanks Pavel, terrific lectures.

  • @richardaversa7128
    @richardaversa7128 3 года назад +1

    Great video as always. Why is the column space denoted by R rather than C? Is the row space as important as the column and null spaces?

    • @MathTheBeautiful
      @MathTheBeautiful  3 года назад +3

      Using the letter R (which is meant to stand for "range") was a strategic mistake. I should have used C. That said, I don't talk about the row space much compared to Prof. Strang.

  • @OfferoC
    @OfferoC 7 лет назад +1

    Great thank you

  • @andrerossa8553
    @andrerossa8553 5 лет назад +1

    Sure it was helpfull. Thank you