Meet the concept↗
To form a basis, a set of vectors must be both linearly independent and span the target space. Linear independence means each vector contributes a brand-new dimension that cannot be recreated by the others.
Conditions: The vectors belong to the target vector space; The set is minimal (no redundant vectors)
To form a basis, a set of vectors must be both linearly independent and span the target space. Linear independence means each vector contributes a brand-new dimension that cannot be recreated by the others.
Conditions: The vectors belong to the target vector space; The set is minimal (no redundant vectors)