Ib qho invertible matrix yog square matrix uas muaj qhov rov qab. Peb hais tias lub square matrix yog invertible yog tias qhov ntsuas tsis sib npaug rau xoom. Hauv lwm lo lus, 2 x 2 matrix tsuas yog invertible yog tias tus txiav txim ntawm matrix tsis yog 0.
Koj paub li cas yog matrix yog ib qho lus lossis invertible?
Yog thiab tsuas yog yog tias lub matrix muaj qhov txiav txim ntawm xoom, lub matrix yog ib tus lej. Cov matrices uas tsis yog tus lej muaj qhov ntsuas tsis yog xoom. Nrhiav tus inverse rau lub matrix. Yog hais tias lub matrix muaj inverse, ces lub matrix multiplied los ntawm nws inverse yuav muab rau koj tus kheej matrix.
Yog 2x3 matrices invertible?
Rau txoj cai thim rov qab ntawm 2x3 matrix, cov khoom ntawm lawv yuav muab sib npaug rau 2x2 tus kheej matrix. Rau sab laug inverse ntawm 2x3 matrix, cov khoom ntawm lawv yuav muab sib npaug rau 3x3 tus kheej matrix.
Yuav ua li cas koj thiaj paub yog tias lub matrix yog sab laug invertible?
Peb hais tias A yog sab laug invertible yog muaj ib n × m matrix C xws li CA=In. (Peb hu C ib sab laug ntawm A. 1) Peb hais tias A yog txoj cai invertible yog tias muaj n × m matrix D xws li AD=Im.
Puas yog tag nrho cov matrices invertible?
Tus txheej txheem ntawm kev nrhiav matrix tus inverse yog hu ua matrix inversion. Nws yog ib qho tseem ceeb uas yuav tsum nco ntsoov, txawm li cas los xij, tsis yog txhua qhov matrices invertible. Rau lub matrix yuav invertible, nws yuav tsum muaj peev xwm muab multiplied los ntawm nws inverse.
