The geometric multiplicity of an e.v. is the dimension of the corresponding eigenspace (mult()). Recall that the dimension of a vector space is equal to the number of linearly independent vectors it contains. Example. Find e.v. and their algebraic and geometric multiplicity for = 0 1 1 ...
Repeat Step 6 to find the eigenvector for L2 = 2. We find x + y = 0, or x = --y. This also has one independent solution, say x = --1 and y = 1. Therefore v2 = (--1,1) is an eigenvector that spans the eigenspace of L2 = 2....
Is an eigenspace the same as an eigenvector? StrangelyQuiet Top Answerer No. An eigenvector is a single vector, whereas an eigenspace is a collection of vectors. Not Helpful 0 Helpful 0 Ask a Question Submit Tips The determinant of a triangular matrix is easy to find - it is sim...