
1.Ya.22 Linear Spaces
Condition: using the orthogonalization process, build an orthogonal base of subspace \ (l = \ left \ langle a_ {1}, a_ {2} a_ {3} \ right \ rangle \) Euclidean space \ (\ mathb {r} {4} \), where \ (( a_ {1} = (1.1, -1, -2), \ (a_ {2} = (5.8, -2, -3), a_ {3} = (3.9,3,8) \).
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.