Vector Operations

[Tech_Deba]

𝑣 ∈ ℝ2 T ;
May I know what those alphabets are stand for ? I couldn’t find in the previous videos before attempting this lab

[paulinpaloalto]

Those are just standard mathematical notations.

\in means “is an element of” a set.
\mathbb{R} is the set of all real numbers between -\infty and \infty.
\mathbb{R}^2 is the 2 dimensional vector space composed of vectors with two real numbers as the elements of the vector.
T is the linear algebra operation “transpose”. That means to interchange the dimensions of a matrix of vector.

So this statement:

v \in \mathbb{R}^2

means v is a vector in the vector space \mathbb{R}^2, meaning a vector with two real numbers as the components.

By saying [1\ 3]^T, what I assume they mean is that they want to consider v as a column vector, not a row vector.

I have not taken this course yet, but if it’s a course on Linear Algebra, I assume they will say more about what “transpose” is pretty soon. If you still haven’t seen that after a while, let us know and I can give some examples.

[Tech_Deba]

actually the concepts are not tough but the notation used in lab (vector operations) that has not covered on the videos when they were taught