Determine if the statements are true or false. If it is true, give a reason. If a set in is linearly dependent, then the set contains more than n vectors. 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.