1. I.19 Linear Spaces
Condition: by the back of the square matrix \ (c \) order \ (n \) 'Totally permanent', if \ (\ Forall X \) is true: \ (C X = X C \), where \ (X- \) The square matrix of the order \ (n \). A) Is many such matrices linear space? b) When Vasya said such a definition on the exam, he was told that he could not stake the definition of a “total double” class of matrices for the data, because This class is already called differently. How?
Linear Spaces, Subspaces. Investigation of Given Sets with Operations Defined on Them to Compose a Linear Space. Axioms of Linear Spaces. Linear Spaces of Polynomials, Matrices, Vectors, Functions and Numbers.