• Title: Rule of Sarrus

  • Series: Linear Algebra

  • Chapter: Determinants

  • YouTube-Title: Linear Algebra 47 | Rule of Sarrus

  • Bright video: https://youtu.be/kPr1HVrYpaI

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

  • Quiz: Test your knowledge

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  • Subtitle on GitHub: la47_sub_eng.srt missing

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  • Quiz Content

    Q1: What is the correct rule of Sarrus for the matrix $$ \begin{pmatrix} a_{11} & a_{12} & a_{13} \ a_{21} & a_{22} & a_{23} \ a_{31} & a_{32} & a_{33} \ \end{pmatrix} $$ with real entries?

    A1: $$a_{11} a_{22} a_{33} + a_{21} a_{32} a_{13}+ a_{31} a_{12} a_{23} - a_{13} a_{22} a_{31} - a_{23} a_{32} a_{11}- a_{33} a_{12} a_{21} $$

    A2: $$a_{11} a_{22} a_{33} + a_{21} a_{32} a_{13}+ a_{31} a_{12} a_{23} - a_{13} a_{22} a_{31} + a_{23} a_{32} a_{11}+ a_{33} a_{12} a_{21} $$

    A3: $$a_{11} a_{22} a_{33} + a_{21} a_{32} a_{13}- a_{31} a_{12} a_{23} - a_{13} a_{22} a_{31} + a_{23} a_{32} a_{11}+ a_{33} a_{12} a_{21} $$

    Q2: Calculate the determinant of the matrix $$ \begin{pmatrix} 2 & 3 & 4 \ 0 & 1 & 3 \ 0 & 0 & 3 \ \end{pmatrix} $$

    A1: $6$

    A2: $2$

    A3: $-3$

    A4: $1$

    Q3: Calculate the determinant of the matrix $$ \begin{pmatrix} 2 & 1 & 4 \ 1 & 1 & 3 \ 1 & 2 & 3 \ \end{pmatrix} $$

    A1: $-2$

    A2: $6$

    A3: $-3$

    A4: $1$

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