Yog li, txheej ntawm tag nrho cov matrices ntawm qhov loj tas li ua ib qhov chaw vector. Qhov ntawd tso cai rau peb hu lub matrix ib vector, txij li lub matrix yog ib feem ntawm qhov chaw vector.
Koj paub li cas yog matrix yog vector space?
Yog A yog m × n matrix, txheeb xyuas tias V={x ∈ Rn: Ax=0} yog qhov chaw vector.
Ua txhua 2x2 matrices tsim ib qhov chaw vector?
Raws li lub ntsiab txhais, txhua lub ntsiab lus hauv vector spaces yog vector. Yog li, 2 × 2 matrix tsis tuaj yeem yog lub hauv paus hauv vector qhov chaw vim nws tsis yog vector.
Vector space in matrices yog dab tsi?
Matrices. Cia Fm× denote the set of m×n matrices with entries in F. Then Fm× is ib qhov chaw vector tshaj F. Vector ntxiv yog qhov sib ntxiv ntawm matrix thiab scalar multiplication yog txhais nyob rau hauv txoj kev pom tseeb (los ntawm kev muab txhua qhov nkag los ntawm tib lub scalar). Zero vector tsuas yog xoom matrix xwb.
Puas yog tag nrho cov square matrices vector spaces?
Qhia tias cov txheej ntawm tag nrho cov tiag tiag ob kab square matrices tsim ib qho vector chaw X.
