Linear Algebra, 2020a

ow equivalence, 53
row rank, 136
full, 143
row space, 136
Rule of Sarrus, 379
Sage, 65
salt, 155
Sarrus, Rule of, 379
scalar, 84
scalar multiple
matrix, 233
vector, 17, 37, 84
scalar multiplication
matrix, 17
scalar product, 43
scaled partial pivoting, 75
Schwarz Inequality, 45
self composition
of maps, 424
sense, 357
sensitivity analysis, 258
sequence, A-7
concatenation, 146
set, A-5
complement, A-6
element, A-5
empty, A-5
intersection, A-6
member, A-5
union, A-6
sets, A-5
dependent, independent, 109
empty, 112
multiset, 113
mutual inclusion, A-5
proper subset, A-5
span of, 100
subset, A-5
sgn
see signum, 349
shear, 304, 395
shift, 429
signum, 349
similar, 331, 361
canonical form, 454
similar matrices, 404
similar triangles, 323
similarity, 402–423
similarity transformation, 423
single precision, 72
singular
homomorphism, 227
matrix, 30
sink link, 471
size, 356, 358
skew-symmetric, 345
span, 27, 100
of a singleton, 105
spanned by, 27
sparse matrix, 464
spin, 162
square root, 463
stable populations, 468–469
standard basis, 122, 401
complex number scalars, 401
state, 313
Statics problem, 1, 5
stochastic matrix, 314, 473
string, 431
basis, 431
of basis vectors, 429
structure
preservation, 191
submatrix, 336
subset, proper, A-5
subspace, 96–107
closed, 98
complementary, 148
definition, 96
direct sum, 148
independence, 147
invariant, 456
proper, 97
sum, 144
trivial, 97
sum
matrix, 17
of matrices, 233
of subspaces, 144
vector, 17, 37, 84