Nco ntsoov tias tsuas yog square matrices tuaj yeem muaj qhov hloov pauv . Lub ntsiab txhais ntawm inverse matrix inverse matrix A yog invertible, uas yog, A muaj ib tug inverse, yog nonsingular, los yog tsis yog degenerate. A yog kab-sib npaug rau n-by-n tus lej matrix I . A yog kem-sib npaug rau n-by-n tus kheej matrix I . … Feem ntau, lub square matrix tshaj ib lub nplhaib sib hloov yog invertible yog thiab tsuas yog hais tias nws determinant yog ib chav nyob rau hauv lub nplhaib. https://en.wikipedia.org › wiki › Invertible_matrix
Invertible matrix - Wikipedia
yog raws li tus kheej matrix [I], thiab nws tau raug tsim los lawm tias tsuas yog square matrices muaj qhov cuam tshuam tus lej matrix.
Puas yog rov qab tsuas yog rau square matrix?
Inverses tsuas muaj nyob rau square matrices. Qhov ntawd txhais tau tias yog tias koj tsis ua tib tus lej sib npaug li qhov sib txawv, ces koj siv tsis tau txoj kev no. Tsis yog txhua lub square matrix muaj qhov thim rov qab.
Cov matrices twg tsis muaj qhov hloov pauv?
Ib tus lej matrix tsis muaj qhov thim rov qab. Txhawm rau nrhiav qhov rov qab ntawm lub square matrix A, koj yuav tsum nrhiav lub matrix A−1 xws li cov khoom ntawm A thiab A−1 yog tus lej matrix.
Yuav ua li cas tsuas yog rau square matrices?
Square matrices tuaj yeem siv los sawv cev thiab daws cov kab ke ntawm kev sib npaug, tuaj yeem hloov pauv thiab muaj kev txiav txim siab. Cov kev txiav txim ntawm square matrices tuaj yeem siv los nrhiav thaj chaw thiab orthogonal vectors. … Kuv muaj ob lub matrices ntawm no a thiab b. Matrix a muaj 2 kab thiab 3 kab, matrix b muaj 2 kab thiab 3 kab.
Puas yog txiav txim rau square matrix?
Properties of Determinants
Tus determinant tsuas muaj tshwm sim rau square matrices (2 × 2, 3 × 3, … n × n). Tus txiav txim ntawm 1 × 1 matrix yog tus nqi nkaus xwb hauv qhov ntsuas. Lub inverse ntawm ib tug matrix yuav muaj tsuas yog hais tias tus determinant tsis xoom.
