# Index of Definitions for Chapter 5

Absorbing Markov chain 303

Absorbing state 303

Characteristic polynomial of a linear operator 249

Characteristic polynomial of a matrix 248

Column sum of a matrix 294

Convergence of matrices 283

Cyclic subspace 312

Diagonalizable linear operator 246

Diagonalizable matrix 246

Direct sum of matrices 318

Direct sum of subspaces 274

Eigenspace of a linear operator 264

Eigenspace of a matrix 264

Eigenvalue of a linear operator 246

Eigenvalue of a matrix 246

Eigenvector of a linear operator 246

Eigenvector of a matrix 246

Fixed probability vector 300

Generator of a cyclic subspace 312

Gerschgorin disk 294

Initial probability vector for a Markov chain 291

Invariant subspace 311

Limit of a sequence of matrices 283

Markov chain 290

Markov process 290

Multiplicity of an eigenvalue 263

Probability vector 288

Regular transition matrix 293

Row sum of a matrix 294

Splits 263

Stochastic process 287

Sum of subspaces 274

Transition matrix 287