1.7.18 Linear Transformations

Condition: in the basis in which the equations of subspace are recorded, find a linear transformation matrix \ (\ varphi \) of a three-dimensional geometric vector space, indicate its own numbers and own transformation vectors, describe its core and image if \ (\ varphi \) is: symmetry regarding the plane \ (x-2 y-2 z = 0 \ 0 \)) parallel to the line \ (x = 2 t \), \ (y = t, z = 3 t \)