• 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

• Subtitle on GitHub: la47_sub_eng.srt missing

• Timestamps (n/a)
• Subtitle in English (n/a)
• 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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