Khan Academy Static

You can use a transformation/function to map from one set to another, but can you invert it? In other words, is there a function/transformation that given the output of the original mapping, can output the original input (this is much clearer with diagrams). This tutorial addresses this question in a linear algebra context. Since matrices can represent linear transformations, we're going to spend a lot of time thinking about matrices that represent the inverse transformation.

6938_Introduction_to_the_inverse_of_a_function.html

6945_Simplifying_conditions_for_invertibility.html

6939_Proof_Invertibility_implies_a_unique_solution_to_f_x_y.html

6946_Showing_that_inverses_are_linear.html

6944_Matrix_condition_for_one_to_one_transformation.html

6940_Surjective_onto_and_injective_one_to_one_functions.html

6941_Relating_invertibility_to_being_onto_and_one_to_one.html

6942_Determining_whether_a_transformation_is_onto.html

6943_Exploring_the_solution_set_of_Ax_b.html