I'm not sure about recommending video courses because... there are so few people who have taken up the burden of producing a full Linear Algebra video course. It's sad. But I would at least say that whether you're following Gilbert Strang or someone else, you should be following with a book as well.
There's another guy, Jim Hefferon of St Michael's College, who has written a full book for his own class and produced a full video course on Linear Algebra (all free).
I totally agree with you and that is why I have also added to the post the link to the open course MIT site.
I also believe that is quite naive thinking that you can learn math in some depth just watching videos (at least with my capacity). For me it is a way to keep some pace and order when learning and, as you say, to find some bibliography and material that is being used by the professor.
For more advanced linear algebra I would recommend the class from Prof. Gilbert at MIT.
https://youtube.com/playlist?list=PLE7DDD91010BC51F8
https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra...
What is your recommendation?