dimK(V)=dimK(F) dimF(V). Tshwj xeeb, txhua qhov chaw vector qhov nyuaj ntawm qhov ntev n yog qhov chaw vector tiag tiag ntawm qhov ntev 2n Qee cov qauv yooj yim cuam tshuam txog qhov ntev ntawm qhov chaw vector nrog cardinality ntawm lub hauv paus teb thiab cardinality ntawm lub chaw nws tus kheej.
Koj piav qhia vectors nrog N dimension li cas?
Peb tuaj yeem nthuav dav lub tswv yim no mus rau tus naj npawb ntawm qhov ntev, hais n qhov ntev. Peb xa mus rau n-dimensional vector li a vector hauv Rn thiab sau nws ua tus n-tuple ntawm tus lej: x=(x1, x2, x3, …, xn).
Puas CN yog qhov chaw vector?
Nws yog qhov ncaj qha los qhia tias Cn, ua ke nrog kev ua haujlwm ntawm kev sib ntxiv thiab kev sib npaug, yog complex vector space.
Is R NA vector space?
Definition and structuresRau txhua tus naj npawb n, lub teeb R
muaj tag nrho n-tuple ntawm tus lej tiag (R). … Nrog cov kev sib txuas ntxiv thiab kev sib npaug, nws yog qhov chaw vector tiag tiag. Txhua qhov n-dimensional tiag vector qhov chaw yog isomorphic rau nws.
Qhov twg tsis yog qhov chaw vector?
Feem ntau ntawm n-vectors tsis yog qhov chaw vector. P:={(ab)|a, b≥0} tsis yog qhov chaw vector vim qhov teeb tsis ua haujlwm (⋅i) txij li (11)∈P tab sis −2(11)=(−2−2)∉P. Cov kev ua haujlwm uas tsis yog ntawm daim ntawv ℜS yuav tsum tau ua tib zoo xyuas kom ua raws li cov ntsiab lus ntawm qhov chaw vector.
