If the system has a unique solution, then the columns of the matrix A are linearly independent. If the columns of a matrix A are linearly independent, then the system is consistent for every vector in . All resistances below are equal to . For each of the following maps, determine if it is a linear transformation. If it is, find its standard matrix.
T is the map from to defined by .
T is the map from to which is the composition of the rotation of the plane 90 degrees counterclockwise, followed by reflection with respect to the -axis.