$C[a,b]$, 117

Catastrophic cancellation, 412

Cauchy–Schwarz inequality, 210, 249

Characteristic equation, 299

Characteristic polynomial, 299

Characteristic value(s), 296

Characteristic vector, 296

Chebyshev polynomials, 285

• of the second kind, 288

Chemical equations, 21

Cholesky decomposition, 386

Closure properties, 116

${ℂ}^n$, 339

Coded messages, 104–105

Coefficient matrix, 7

Cofactor, 90

Cofactor expansion, 90

Column space, 162, 225

Column vector notation, 28

Column vector(s), 28, 162

Communication networks, 57

Companion matrix, 309

Comparison matrix, 394

Compatible matrix norms, 426

Complete pivoting, 423

Complex

• eigenvalues, 305, 313–315

• matrix, 341

Computer graphics, 190

Condition number, 431–436

• formula for, 433

Conic sections, 368–374

Consistency Theorem, 35, 163

Consistent comparison matrix, 395

Consistent linear system, 2

Contraction, 190

Cooley, James W., 268

Coordinate metrology, 238

Coordinate vector, 152, 158

Coordinates, 158

Correlation matrix, 219

Correlations, 217

Covariance, 219

Covariance matrix, 220

Cramer’s rule, 103

Cross product, 105

Cryptography, 104–105