Basic Linear Algebra Operation | Matrix

In this video, I am reviewing linear algebra basic operation.
It has been 15years since the last time I studied this subject.
I try to solve simple problems, and these is on the spot examples.
Please bear with my mistakes.

If you have comments, please feel free to comment down.
I hope it is constructive criticism.

You may skip some of the topics

00:00:15 Vector Introduction
00:02:30 Basic Operation: Addition/Subtraction
00:04:57 Multiplication/Division
00:08:40 Determinant of a 2×2 Matrix
00:10:48 Determinant of 3×3 Matrix
00:15:40 Determinant of 4×4 Matrix
00:18:53 Inverse of a Matrix
00:23:54 Transpose of a Matrix
00:25:53 Transpose of Matrix Properties and Proof
00:38:00 Recall Matrix Properties