Category: Matrix and Signal Processing

If you can, answer the question below: Write your answer in the comment box. In the above case, if x is a vector in S, does cx belong to S? c is in R

If you can, answer the question below: Write your answer in the comment box. Give more rigorous mathematical notation of Linear Vector Space.

If you can, answer the question below: Write your answer in the comment box. What is the notation to represent a vector of real numbers or real-complex numbers?

If you can, answer the question below: Write your answer in the comment box. Upper case bold letter — matrix or scalar or vector?

If you can, answer the question below: Write your answer in the comment box. Upper case non-bold letter — matrix or scalar or vector?

If you can, answer the question below: Write your answer in the comment box. Is a vector usually a column vector? what is the ith column in a Matrix A? $a_i$ what does it mean? $a_j^T$ what does it mean? How is the $j^th$ element represented?

If you can, answer the question below: Write your answer in the comment box. What do you mean by the concept of vector space?

If you can, answer the question below: Write your answer in the comment box. What are bases?

If you can, answer the question below: Write your answer in the comment box. What do you mean by Linear Vector Spaces?

If you can, answer the question below: Write your answer in the comment box. If S is a linear vector space, what are the properties of S?