MathProblemsBank

1. I.15 Linear Spaces

Condition: Find the orthogonal base \ (l \) if \ (l = \ \ wedge \ left (a_ {1}, a_ {2}, a_ {3} \ right), \ quad a_ {1} = (0, -1,2,1) \), \ ( a_ {2} = (3, -1,1,0), \ quad a_ {2} = (3, -3.5,2) \) (linear shell of vectors).

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.