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

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