Dubbed Version (Rahul AI):
Dubbed Version (Krystian AI):
A lesson devoted to Determinants. It includes 11 calculated determinants, including a universal method for calculating a determinant of any order, shown on the 4×4 and 5×5 cases.
I also show how to zero a row or column using an elementary operation, which radically shortens and simplifies, for example, calculating determinants of 4×4 and higher-order matrices.
Table of Contents:
- Determinants: the concept [00:31]
- Feasibility of calculating a determinant (square matrices only) [01:51]
- Order (degree) of a determinant [02:15]
- Calculating the determinant of a 1×1 matrix [02:45]
- Determinant of a 2×2 matrix — 4 examples [03:21]
- Calculating the determinant of a 3×3 matrix [05:20]
- Calculating determinants of 4×4 and higher-order matrices (Laplace’s expansion) [07:21]
- Determinant of a 4×4 matrix — Example 1 [09:10]
- Determinant of a 4×4 matrix — Example 2 [21:36]
- Determinant of a 5×5 matrix [26:39]
- Determinant of a 4×4 matrix — Example 3 [34:53]
Homework
Download Answers to Homework (PDF)