👉 In linear algebra, an eigenspace is a vector subspace of a linear transformation that corresponds to a specific eigenvalue. An eigenvalue is a number associated with an eigensystem or eigenvalue problem, typically for a square matrix A. For a 2x2 matrix: Eigenvalues: λ1 = -3 λ2 = -2 A square matrix has one eigenvector and its corresponding eigenvalue. The eigenspace of λ1 (the first eigenvalue) is