Linear Algebra, 2020a

Index
accuracy
of Gauss’s Method, 72–75
rounding error, 74
adding rows, 5
addition of vectors, 17, 38, 84
additive inverse, 84
adjacency matrix, 252
adjoint matrix, 366
adjugate matrix, 366
affine transformation, 396
algebraic multiplicity, 418
angle, 46
antipodal points, 384
antisymmetric matrix, 151
argument, of a function, A-7
arrow diagram, 238, 256, 262, 267, 402
augmented matrix, 16
automorphism, 177
dilation, 177
reflection, 178
rotation, 178
back-substitution, 5
base step, of induction proof, A-3
basis, 121–135
change of, 262
definition, 121
Jordan chain, 452
Jordan string, 452
orthogonal, 281
orthogonalization, 282
orthonormal, 283
standard, 122, 401
string, 431
bean diagram, A-7
best fit line, 296
block matrix, 345
box, 355
orientation, 357
sense, 357
volume, 357
C language, 72
canonical form
for matrix equivalence, 271
for nilpotent matrices, 435
for row equivalence, 61
for similarity, 454
canonical representative, A-11
Cauchy-Schwarz Inequality, 45
Cayley-Hamilton theorem, 443
central projection, 381
change of basis, 262–274
characteristic
equation, 416
polynomial, 416
satisfied by, 445
root, 423
vectors, values, 412
characterize, 184
characterizes, 272
Chemistry problem, 1, 11, 25
Chiò’s method, 376–379
circuits
parallel, 77
series, 77
series-parallel, 78
class