Nws yog ib qho tseem ceeb uas yuav tsum nco ntsoov, txawm li cas los xij, tsis yog txhua qhov matrices invertible Rau matrix yuav invertible, nws yuav tsum muaj peev xwm muab tau los ntawm nws inverse. … Tsis tas li ntawd, lub matrix tej zaum yuav tsis muaj qhov sib txawv ntawm qhov sib txawv ntawm qhov sib txawv hauv kev ua lej, qhov sib txawv ntawm qhov sib txawv lossis qhov sib txuam rau tus lej x, txhais los ntawm 1 / x lossis x - 1, yog tus lej uas thaum sib npaug los ntawm x yields tus lej sib npaug, 1 … Piv txwv li, qhov sib txuam ntawm 5 yog ib qho thib tsib (1/5 lossis 0.2), thiab qhov sib txuam. ntawm 0.25 yog 1 muab faib los ntawm 0.25, lossis 4. https://en.wikipedia.org › wiki › Multiplicative_inverse
Multiplicative inverse - Wikipedia
zoo li cov ntaub ntawv hauv matrices uas tsis yog square (sib txawv ntawm kab thiab kab).
Koj paub li cas yog matrix invertible?
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.
Puas yog ib qho rau ib qho matrices invertible?
Lub invertible matrix theorem yog ib qho kev xav hauv linear algebra uas muaj cov npe ntawm cov xwm txheej sib npaug rau n × n square matrix A kom muaj qhov rov qab. Matrix A yog invertible yog tias thiab tsuas yog ib qho(thiab yog li ntawd, tag nrho) ntawm cov hauv qab no tuav: … Cov kab hloov pauv x|->Ax yog ib-rau-ib.
Puas yog NN matrix invertible?
Tsis yog, tsis yog tag nrho cov square matrices invertible. Rau ib lub square matrix yuav invertible, yuav tsum muaj ib tug square matrix B ntawm tib qhov kev txiav txim xws li ntawd, AB=BA=Nyob rau hauv n, qhov twg hauv n yog ib tug matrix ntawm kev txiav txim n × n.
Puas feem ntau matrices invertible?
Tsis yog lawv tsis yog. Xav txog nws, qib ntawm n × n matrix tuaj yeem yog tus lej k∈{0, …, n}. Lub tsuas yog rooj plaub uas cov matrix invertible yog thaum k=n.
