1.ya.15 Linear spaces
condition: Find the orthogonal basis \( L \), 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 span 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.