Matrix AlgebraCambridge University Press, 2005 M08 22 - 434 páginas Matrix Algebra is the first volume of the Econometric Exercises Series. It contains exercises relating to course material in matric algebra that students are exoected to know while enrolled in an (advanced) undergraduate or a postgraduate course in econometrics or statistics. The book contains a comprehensive collection of exercises, all with full answers. But the book is not just a collection of exercises; in fact, it is a textbook, though one that is organized in a completely different manner than the usual textbook. The volume can be used either as a self-contained course in matrix algebra or as a supplementary text. |
Contenido
IV | 1 |
V | 4 |
VI | 11 |
VII | 15 |
VIII | 19 |
IX | 39 |
X | 43 |
XI | 47 |
XLIV | 265 |
XLV | 273 |
XLVI | 274 |
XLVII | 281 |
XLVIII | 284 |
XLIX | 292 |
L | 295 |
LI | 299 |
XII | 61 |
XIII | 67 |
XIV | 73 |
XV | 75 |
XVI | 83 |
XVII | 87 |
XVIII | 97 |
XIX | 98 |
XX | 103 |
XXI | 109 |
XXII | 119 |
XXIII | 126 |
XXIV | 131 |
XXV | 132 |
XXVI | 137 |
XXVII | 143 |
XXVIII | 148 |
XXIX | 151 |
XXX | 155 |
XXXI | 158 |
XXXII | 175 |
XXXIII | 182 |
XXXIV | 187 |
XXXV | 192 |
XXXVI | 201 |
XXXVII | 209 |
XXXVIII | 211 |
XXXIX | 228 |
XL | 231 |
XLI | 243 |
XLII | 246 |
XLIII | 255 |
LII | 300 |
LIII | 307 |
LIV | 311 |
LV | 318 |
LVI | 321 |
LVII | 322 |
LVIII | 325 |
LIX | 341 |
LX | 343 |
LXI | 351 |
LXII | 356 |
LXIII | 360 |
LXIV | 361 |
LXV | 364 |
LXVI | 368 |
LXVII | 369 |
LXVIII | 373 |
LXIX | 375 |
LXX | 378 |
LXXI | 382 |
LXXII | 387 |
LXXIII | 391 |
LXXIV | 397 |
LXXVI | 398 |
LXXVII | 401 |
LXXVIII | 409 |
LXXIX | 415 |
LXXXI | 418 |
423 | |
426 | |
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Términos y frases comunes
A₁ block commute Consider converges decomposition defined denote determinant diagonal elements diagonal matrix differential duplication matrix dvec Econometric eigenvalues eigenvectors eigenvectors associated elementary Equality occurs equation example exists exp(A follows from Exercise full column rank Hence Hessian Hessian matrix idempotent matrices implies In² inequality inner product inner-product space inverse Jordan chain Kronecker product linear combination linearly independent m x n matrix function matrix of order multiplication n x n matrix nonnegative nonsingular matrix null vector obtain orthogonal matrix permutation polynomial positive definite positive semidefinite positive semidefinite matrix proof prove real numbers result follows rk(A rk(B satisfying scalar Schur's Show Solution Let square matrix submatrix subspace symmetric matrix theorem transpose triangular matrix unique unitary upper triangular vech(A vector space write x'Ax zero