I have just started reading Linear Algebra and there are some basic things I cannot understand. I read some answers on this site and also tried to search in some books but I didn't find a clear answer. Here are few words form my textbook : 1. Here by VECTOR we do not mean the vector quantity which we have defined in vector algebra as a directed line segment. 2. Matrices having a single row or column are referred to as vectors. 3. I also watched a video in which at approximately 3:55 he says that a point in two dimensional real coordinate space is written in matrix form in LINEAR ALGEBRA.
Now I'm confused! Since in the video it seems as a vector in LINEAR ALGEBRA is just same as a point in 1, 2, 3...n real coordinate spaces. But in my text book its written that vector is not the vector quantity!
- And I also read in a book in which it was written that we are using LINEAR word instead of VECTOR to avoid confusion!
So is it really the difference in words? Why its not written clearly what the vector really is.