Vectorial Spaces: Counter Examples and Proofs

This lecture covers the concept of vectorial spaces, focusing on providing counter examples and proofs to demonstrate various properties. Starting with the basic definitions, the instructor explores scenarios where the given statements are false and guides through the process of proving or disproving them. Through a series of examples and theoretical explanations, the lecture aims to deepen the understanding of vectorial spaces and their properties, emphasizing the importance of rigorous reasoning and logical deduction.