Spazio vettoriale dei vettori , spazio vettoriale delle matrici e dei polinomi .Teoria ed esempi

Vector space of vectors, vector space of matrices, and polynomials in linear algebra. This lesson introduces the first step in one of the fundamental concepts of linear algebra, without which it is difficult to understand this discipline. Before discussing linear applications, eigenvalues, and diagonalizable matrices, it is important to clarify (with examples) the concept of vector space. Chapters: 00:00 Introduction to Vector Spaces 06:18 Vector Space of Vectors 13:02 Vector Space of Matrices 18:56 Vector Space of Polynomials Although most teachers (for simplicity's sake) introduce the concept of n-dimensional vector spaces in many exam textbooks, I felt it appropriate to also introduce the vector space of matrices and the vector space of polynomials of degree equal to or less than n, as they are often found in exam textbooks. By introducing these vector spaces, students will be able to understand and generalize this abstract concept. The concept of vector space is obviously abstract, but the examples will concretize what is explained in theory, ensuring that everything is assimilated without memorizing anything. #salvoromeo #algebralinear #vectorspace