1.4.26 Matrix transformations

Condition: Perform the Gram-Schmidt orthogonalization process for the basis \( \left(\overline{l_{1}}, \overline{l_{2}}, \overline{l_{3}}\right) \). Find the transition matrix \( S \) from the basis \( \left(\overline{l_{1}}, \overline{l_{2}}, \overline{l_{3}}\right) \) to the basis \( \left(\overline{g_{1}}, \overline{g_{2}}, \overline{g_{3}}\right) \). \( \overline{l_{1}}=(1,-1,1), \overline{l_{2}}=(-5,-3,1), \overline{l_{3}}=(2,-1,0) \).