Электронная библиотека Попечительского советамеханико-математического факультета Московского государственного университета
 Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум Авторизация Поиск по указателям     Nicholson W.K. — Linear Algebra with Applications Обсудите книгу на научном форуме Нашли опечатку?Выделите ее мышкой и нажмите Ctrl+Enter Название: Linear Algebra with Applications Автор: Nicholson W.K. Аннотация: This manual contains answers and solutions to selected problems from this text. This easy-to-use, symbolic algebra and graphing package for the Macintosh emphasizes visual, interactive problem-solving. These electronic problem sets, which are in addition to those in the text, are for use with the Macintosh. Язык: Рубрика: Математика/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: Third Edition Год издания: 1995 Количество страниц: 540 Добавлена в каталог: 29.11.2009 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель
 Absolute value of a complex number      467 Adjoint matrix      108 123 Adjoint matrix, formula for inverse      125 Al — Khowarizmi      475 Algorithm, Cholesky      291 Algorithm, diagonalization      262 Algorithm, Gaussian      12 17 Algorithm, Gram — Schmidt      275 434 Algorithm, matrix inversion      61 Algorithm, QR — Algorithm      300 Algorithm, simplex      496 Algorithm, tnangulatron      404 angle      156 431 Angle, between two vectors      431 Angle, cosine of      469 Angle, radian measure      469 Angle, sine ot      469 Angle, standard position      469 Approximation, best      325 Approximation, Fourier      462 Approximation, least squares      178 327 Approximation, theorem      438 Argument of a complcx number      470 Associated homogeneous      50 Back substitution      19 79 Basis      213 Basis of eigenvectors      262 441 445 Basis, existence of      221 Basis, ordered      371 Basis, orthogonal      273 433 Basis, standard      214 303 Bessel’s inequality      441 Best approximation theorem      325 Bilinear form      324 Binet formula      416 Binomial coefficients      243 Binomial coefficients, theorem      243 Block, diagonal matnx      67 Block, multiplication      52 Block, partition of a matrix      52 Block, triangular matnx      78 391 Block, triangulation theorem      402 Brown.J W      461 Cancellation for matnx muliiplication      64 Cancellation for vector addition      191 Cauchy inequaliiy      428 Cauchy — Schwarz inequality      165 Cauchy, A I.      428 Cayley — Hamilton theorem      407 Cayley. A      33 407 Centroid of a triangle      155 Change of basis matrix      380 Characteristic polynomial      253 306 Characteristic polynomial of a block triangular matrix      391 Characteristic polynomial of a differential equation      245 Characteristic polynomial of an operator      186 Characteristic value      251 Characteristic value, vector      251 Cholesky decomposition      290 Cholesky decomposition, algorithm      291 Churchill, R V      463 Circuit rule      29 Closed economy      91 Coefficient matnx      5 50 Coefficients of an equation of a linear combination      204 Coefficients of an equation of a polynomial      191 Column matnx      34 Column space      228 Commute      45 Companion matnx      120 Complcx linear algebra      302—310 Complcx plane      468 Complement of a subspace      395 Completing the square      475 Complex distance formula      468 Complex matnx      304 Complex number      465 Complex number, absolute value      467 Complex number, argument      470 Complex number, conjugate      467 Complex number, DeMoivre’s theorem      472 Complex number, fundamental theorem of algebra      477 Complex number, imaginary part      465 Complex number, inverse of      467 Complex number, modulus      467 Complex number, multiplication rule      471 Complex number, parallelogram law of addition      469 Complex number, plane      468 Complex number, polar form      470 Complex number, pure imaginary      465 Complex number, real part      465 Complex number, roots of unity      473 474 Complex subspacc      311 Component(s) of a vector      147 composition      365 Congruence      320 conic      25 Conjugate of a complex number      467 Conjugate transpose      304 Conjugate transpose of      304 Consistent and inconsistent      20 Consistent system ol'lincar equations      20 Constant term      1 Constant term, function      219 Constant term, matrix      5 50 Constant term, sequence      411 Constraints      482 486 489 containment      206 Contraction      351 Convergence of Fourier cense      463 Convergence of state vectors      101 Coordinate axes      147 Coordinate vectors      148 coordinates      147 372 Coordinates of a vector      372 Cosine of an angle      469 Cotactor      109 Cotactor, matrix      123 Cramer. G      127 Cramer’s Rule      127 Cross product      168 Dantzig, G      489 Davis, P J      439 Degree      191 Demand matnx      93 DeMoivre, A      472 DeMoivre’s Theorem      472 Dependent (linearly)      209 Descartes, Rene      187 Determinant      110 Determinant of block triangular matrix      118 391 Determinant of operator      386 Determinant, adjoini formula      125 Determinant, Cramer's rule      127 Determinant, formal definition      110 Determinant, Laplace expansion      110 111 136 Determinant, product theorem      120 Determinant, Vandcrmonde      134 Diagonal matrix      43 56 Diagonal matrix, operator      442 Diagonal matrix, orthogonally      283 445 Diagonal matrix, unitarily      308 Diagonalization      334—35 Diagonalization of a Hermitian matnx      110 Diagonalization of a matnx      262 310 Diagonalization of a quadratic form      114 Diagonalization of a system of differential equations      334—35 Diagonalization of an operator      441 Diagonalization, algorithm      262 Diagonalization, first order      244 331 Diagonalization, general solution      246 17 336 Diagonalization, initial condition      245 Diagonalization, linear system      332 Diagonalization, orthogonal      283 441 Diagonalization, second order      245 131 Difference      16 188 191 Differential equations      244 331 Differential equations, boundary condition      245 336 Differential equations, characteristic polynomial      245 Dilation      35 DIMENSION      14 Dimension of a subspace      223 Dimension, theorem      357 Direct sum      195 Direct sum of invariant subspaces      97 Direction cosines      165 Direction vector      150 Discnminant      475 Distance      156 425 448 Distributive property      48 Dot product      44 270 Dot product of geometric vectors      157 Doubly stochastic matrix      105 Economic models      90 Eigenspace of a matnx      252 Eigenspace of an operator      392 Eigenvalues      251 Eigenvalues of a matrix      251 Eigenvalues of an operator      392 Eigenvalues, complex      301 306 Eigenvalues, dominant      298 Eigenvalues, multiplicity of      265 394 Eigenvalues, positive      289 Eigenvalues, power method for finding      298 Eigenvalues, real      256 444 Eigenvectors      251 306 392 Eigenvectors of a matrix      251 Eigenvectors of an operator      392 Eigenvectors, basis of      262 441 445 Eigenvectors, dominant      298 Eigenvectors, independent      262 441 Electrical network      29 Elementary, column operation      78 Elementary, matrix      68 Elementary, operation      6 Elementary, row operation      8 68 ellipse      317 entries      33 Equality of functions      192 Equality of geometric vectors      141 Equality of linear transformations      346 Equality of matrices      35 Equality of n-tuples      187 Equality of polynomials      192 Equality of sequences      411 Equations differential      (see Differential equations) Equations linear      (see Linear equations) Equilibrium condition      92 Equilibrium in      92 Equilibrium in an economic system      92 Equilibrium in an economic system, condition for      92 Equivalent      6 Equivalent matrices      238 Equivalent matrices, Euclidean space      187 Equivalent matrices, inner product      421 Equivalent matrices, system of linear equations      6 Evaluation map      352 359 Evaluation of a polynomial      201 260 Evaluation of a polynomial at a matrix      260 Evaluation of a polynomial at the shift operator      417 Even polynomial      219 Even polynomial, function      462 Expansion theorem      273 433 Exponent law      471 Exponent law, bounded      486 Exponent law, bounding hyperplane      486 Exponent law, comer point      486 Exponent law, feasible region      482 486 Exponent law, lactor theorem      239 Extreme point      486 Extreme point, Binet, formula      416 Extreme point, Fibonacci sequence      416 Extreme point, generalized      419 Finite dimensional      214 Fixed line      452 Fixed line, axis      459 Fixed line, Hows in a network      27 Fixed line, hyperplane      458 Fixed line, plane      456 Fixed line, vector      459 Formula      156 468 Forward substitution      79 Fourier approximation      462 Fourier approximation, coefficients      433 461 Fourier approximation, series      463 Fourier, J B J      433 Function      192 339 Function, action of      192 Function, constant      219 Function, continuous      422 Function, differentiable      202 Function, distance preserving      460 Function, even/odd      462 Function, linear transformations      339 Function, objective      482 486 489 Function, pointwise operations      192 Fundamental identities      367 Fundamental theorem of algebra      477 Fundamental theorem of vector spaces      212 Gass. S      1 481 492 Gauss, K F      17 477 Gaussian algorithm      12 17 Gaussian algorithm, elimination      10 13 Generalized      402 Generalized inverse      325 31 Geometric vector      141 Gram — Schmidt algorithm      275 4 4 Gram, J P      275 Group of operators      460 Half plane      482 Hamilton, W R      407 Hcrstein, I N      408 Hcssenberg form      301 Hermite, C      305 Hermitian matrix      105 Homogeneous system of equations      24 Homogeneous system of equations, associated      50 Hooke's law      184 249 Householder matrices      301 Hyperbola      317 Hyperbola, idempotent matrix      56 68 Hyperbola, operator      401 Identity, linear transformation      343 Identity, matrix      45 Image of a linear transformation      351 352 Imaginary, axis      468 Imaginary, part of a complex number      465 Imaginary, unit      465 Inconsistent system      20 Independent (linearly)      209 Indeterminate      192 Index of a quadratic form      321 Induction, hypothesis      503 Induction, mathematical      501 502 Inequality, Bessel's      441 Inequality, Cauchy      428 Inequality, Cauchy — Schwarz      165 Inequality, Schwarz      427 Inequality, triangle      165 428 468 Initial point      141
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