Maclaurin series, 606
Manchester (England), 330
Mass-spring system, 266, 302, 309, 366, 425, 427, 432, 496, 507, 539, 570, 571, 580, 596
Mathematical model, modeling, 4
Matrix, 147
addition, 164
augmented, 148
coefficient, 147
column, 147
determinant, 188
diagonal, 174
echelon, 150
element, 147
elementary, 180
elementary row operations, 149
entry, 147
equality, 164
exponential, 472
fundamental, 469
invertible, 177
Jacobian, 516
minor, 190
multiplication by scalar, 165
negative of, 165
nilpotent, 474
nonsingular, 183
norm, 658
orthogonal, 202
principal diagonal, 162
product, 168
projection matrices of, 491
reduced echelon, 157
row, 147
shape, 147
similar, 349
singular, 183
size, 147
spectral decomposition, 493
square, 161
stochastic, 357
trace, 347
transition, 356
triangular, 194
transpose, 195
with distinct eigenvalues, 352
zero, 172
Matrix algebra, 171
Matrix equations, 182
Matrix exponential solution, 475
Matrix-valued function, 375
Mechanical systems (modeling), 331
Method of elimination, 140
for determinants, 194
Method of Frobenius, 631
Method of successive approximations, 654
Method of undetermined coefficients, 314, 316, 320
for nonhomogeneous systems, 483
Mexico City, 330
Minimal spanning set, 242
Minor (of a matrix), 190
Mixture problems, 51
Mks units, 13
Modulus (of complex number), 298
Multiplication by an elementary matrix, 671
Multiplication of matrices, 168
Multiplication of vector by scalar, 213
Multistory building, 435
Mutual extinction, 359
18.118.20.156