• Title: Formulas for Determinants

  • Series: Linear Algebra

  • Chapter: Determinants

  • YouTube-Title: Linear Algebra 49 | Formulas for Determinants

  • Bright video: https://youtu.be/hAwSoWo2UD8

  • Dark video: https://youtu.be/MXIe76m-UZA

  • Quiz: Test your knowledge

  • PDF: Download PDF version of the bright video

  • Dark-PDF: Download PDF version of the dark video

  • Print-PDF: Download printable PDF version

  • Thumbnail (bright): Download PNG

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  • Subtitle on GitHub: la49_sub_eng.srt missing

  • Timestamps

    00:00 Intro

    00:44 Determinant for triangular matrices

    02:17 Determinant for block matrices

    06:00 Determinant for the transpose

    06:50 Multiplication Rule for the determinant

    09:41 Credits

  • Subtitle in English (n/a)
  • Quiz Content

    Q1: What is the determinant of the matrix $$ \left( \begin{array}{cccc}1 & 2 & 3 & 0 \ 0 & 3 & 1 & 0 \ 0 & 0 & 1 & 1 \ 0 & 0 & 0 & 1 \\end{array} \right) $$

    A1: 3

    A2: 2

    A3: 1

    A4: 0

    Q2: What is the determinant of the matrix $$ \left( \begin{array}{cccc}1 & 0 & 3 & 0 \ 0 & 3 & 1 & 0 \ 0 & 0 & 1 & 2 \ 0 & 0 & 1 & 1 \\end{array} \right) $$

    A1: -3

    A2: -2

    A3: -1

    A4: 0

    A5: 1

    A6: 2

    Q3: What is the determinant of the matrix given by the product $$ \left( \begin{array}{ccc}1 & 0 & 3 \ 0 & 3 & 1 \ 0 & 0 & 1 \end{array} \right) \left( \begin{array}{ccc} 1 & 0 & 0 \ 3 & 1 & 0 \ 0 & 1 & 2 \end{array} \right)$$

    A1: 6

    A2: 4

    A3: 7

    A4: 8

    A5: 0

    A6: -4

  • Last update: 2024-10

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