Question

Prove that all the square matrices of order 5 x 5 make a linear vector
What are the dimensions and basis of the space?​

Answer 1

Answer:

Dimension of a vector space

Every basis for V has the same number of vectors. The number of vectors in a basis for V is called the dimension of V, denoted by dim(V). For example, the dimension of Rn is n. The dimension of the vector space of polynomials in x with real coefficients having degree at most two is 3.