1.ya.16 Linear spaces
condition: Find the orthogonal basis \( L \), if \( L=\wedge\left(a_{1}, a_{2}, a_{3}\right), \quad a_{1}=(1,3,-1,0) \), \( a_{2}=(0,2,-2,1), a_{2}=(1,7,-5,2) \) (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.