• Title: Determinant (Overview)

  • Series: Linear Algebra

  • Chapter: Determinants

  • YouTube-Title: Linear Algebra 43 | Determinant (Overview)

  • Bright video: https://youtu.be/3U8b_iM72pg

  • Dark video: https://youtu.be/UYuJvRyDzN0

  • 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: la43_sub_eng.srt missing

  • Timestamps

    00:00 Intro

    00:50 Determinant of a matrix A

    01:32 First property of determinant

    03:40 Second property of determinant

    04:57 Third property of determinant

    06:50 Credits

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

    Q1: Which property is not one of the determinant?

    A1: $| \det(A) |$ is the volume of the parallelepiped spanned by the columns of $A$.

    A2: $\det(A)$ is zero if and only if the columns of $A$ are linearly independent.

    A3: $\det(\mathbf{1}) = 1$

    A4: The sign of $\det(A)$ gives orientation of the vectors given by the columns of $A$.

    Q2: Which statement is correct?

    A1: $\det \begin{pmatrix} 1 & 0 \ 0 & 1 \end{pmatrix} = 1$

    A2: $\det \begin{pmatrix} 1 & 0 \ 0 & 1 \end{pmatrix} = -1$

    A3: $\det \begin{pmatrix} 1 & 0 \ 0 & 1 \end{pmatrix} = 0$

    A4: One needs more information.

  • Last update: 2024-10

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