1.Ya.20 Linear Spaces

Condition: Find the basis and dimension of the linear space \ (l_ {1} \), generated by vectors \ (\ overline {a_ {1}}, \ overLine {a_}}, \ ldots \), the basis and dimension of the linear space \ (l_ {2} \) generated vectors \ (\ overLine {b_ {1}, \ overLine {b_ {2}, \ ldots \), as well as the basis and dimension \ (l_}+l_ {2} \) and dimension \ (l_} \ cap l_ {2} \). a) \ (\ overline {a_ {1} = (-21,2,18), \ overLine {a_ {2} = (-7, -8,4), \ overLine {a_ {3}} = (8.3, -6) \); \ (\ overLine {b_ {1} = (-5, -1,3), \ overLine {b_ {2}} = (-6,2,0), \ overLine {b_ {3}} = (2, -1,2) \). b) \ (\ overLine {a_ {1} = (27, -10, -14, -2), \ overLine {a_ {2} = (2.5, -10, -23) \), \ (\ overLine {a_ {3}} = (5, -9,21), of \ overline {a_ {4}} = (-16, -13, -9,4) \), \ (\ overLine {b_ {1}} = (14.14, -16, -18), \ overLine {b_ {2}} = (-8, -10,9,13), \ (\ (\ (\ (\ (\ (\ ( \ overline {b_ {3}} = (-10, -11,12,14).