Geometric multiplicity refers to the number of linearly independent eigenvectors associated with a particular eigenvalue of a matrix. It provides insight into the dimensionality of the eigenspace corresponding to that eigenvalue, indicating how many directions in which a transformation can stretch or compress vectors. This concept is crucial for understanding the behavior of linear transformations represented by matrices, as it directly influences properties like diagonalizability and stability.
congrats on reading the definition of Geometric Multiplicity. now let's actually learn it.