Linearly independent refers to a set of vectors in a vector space that cannot be expressed as a linear combination of each other. In simpler terms, this means no vector in the set can be created by combining the others with any coefficients. This concept is crucial for understanding the structure of vector spaces and determining the dimensions they occupy, as well as how many vectors are needed to span that space without redundancy.
congrats on reading the definition of linearly independent. now let's actually learn it.