Cov txheej txheem:
- Koj paub li cas yog matrix yog unitary?
- Puas yog ib lub matrix ua tau tiag?
- Puas yog txhua tus matrix ib txwm muaj?
- Puas yog unitary matrices nws tus kheej adjoint?
Video: Puas yog ib lub matrix puas yog xoom?
2024 Tus sau: Fiona Howard | [email protected]. Kawg hloov kho: 2024-01-10 06:38
N × n Fourier matrix yog ib qho nyuaj Hadamard matrix nrog rau (j, k) nkag (1 / n) e (2 i π / n) j k rau j, k=1, 2, …, n. Ib tug tuaj yeem qhia tau tias nws yog unitary thiab tsis muaj xoom nkag.
Koj paub li cas yog matrix yog unitary?
Ib tug matrix yog a matrix uas nws inverses nws conjugate transpose. Unitary matrices yog cov complex analogue ntawm tiag tiag orthogonal matrices. Yog tias U yog square, complex matrix, ces cov xwm txheej hauv qab no yog sib npaug: U yog unitary.
Puas yog ib lub matrix ua tau tiag?
Yog tias tag nrho cov kev nkag ntawm ib lub matrix yog tiag tiag (piv txwv li, lawv qhov nyuaj yog tag nrho xoom), ces tus matrix tau hais tias yog orthogonal. Txij li thaum lub orthogonal matrix yog unitary, tag nrho cov khoom ntawm unitary matrices siv rau orthogonal matrices.
Puas yog txhua tus matrix ib txwm muaj?
A ib txwm matrix yog unitary yog thiab tsuas yog tias tag nrho nws cov eigenvalues (nws spectrum) pw ntawm chav tsev voj voog ntawm lub dav hlau complex. Hauv lwm lo lus: Ib txwm matrix yog Hermitian yog thiab tsuas yog tias tag nrho nws cov eigenvalues yog tiag. Feem ntau, cov sum los yog cov khoom ntawm ob ib txwm matrices yuav tsum tsis yog ib txwm.
Puas yog unitary matrices nws tus kheej adjoint?
Kev ceeb toom tias ob tus kheej adjoint matrices thiab unitary matrices yog qhov qub thiab yog li lawv yog orthogonally diagonalizable.
Pom zoo:
Puas yog xoom ob qhov phem?
6 Ib khub Horns Nyob saum Zero Ob lub taub hau zaum ob lub horns. Thaum ua tib zoo xav txog lwm qhov kev nyeem ntawv ntawm nws cov cai hauv Nyij Pooj ("Oni"), uas ncaj qha txhais mus rau "dab," qhov no tuav. Txawm li cas los xij, Zero Ob tsis yog phem lossis siab phem li dab!
Lub ntiajteb txawj nqus nyob qhov twg yog xoom?
Nyob ze ntawm lub ntiaj teb (sea theem), lub ntiajteb txawj nqus txo nrog qhov siab xws li linear extrapolation yuav muab xoom lub ntiajteb txawj nqus ntawm ib qhov siab ntawm ib nrab ntawm lub ntiaj teb lub vojvoog - (9.8 m·s − 2 ib 3, 200 km.
Yuav qhov ntxeev ntawm xoom ib txwm yog xoom?
Qhov ntxeev ntawm xoom yuav ib txwm yog xoom vim xoom yog nws tus kheej rov qab . Puas muaj qhov ntxeev ntawm xoom? Qhov ntxeev ntawm xoom yog negative zero . Puas yog qhov ntxeev ntawm tus lej ib txwm muaj ntau dua tus lej nws tus kheej?
Yuav ua li cas yog jacobian yog xoom?
Yog tias Jacobian yog xoom, nws txhais tau tias tsis muaj qhov hloov pauv dab tsi, thiab qhov no txhais tau tias koj tau txais kev hloov pauv tag nrho ntawm xoom ntawm qhov ntawd (nrog rau tus nqi ntawm hloov raws li kev nthuav dav thiab kev cog lus nrog kev hwm rau tag nrho lub ntim) .
Puas yog matrix reloaded thiab revolutions tib lub xyoo?
Cov koob muaj plaub, pib nrog The Matrix (1999) thiab txuas ntxiv nrog peb qhov txuas ntxiv, The Matrix Reloaded, The Matrix Revolutions (ob leeg hauv 2003) thiab Matrix Sawv Rov Los (2021). Cov yeeb yaj kiab tau sau thiab coj los ntawm Wachowskis thiab tsim los ntawm Joel Silver .
