Vim li cas matrix multiplication associative?

Cov txheej txheem:

Vim li cas matrix multiplication associative?
Vim li cas matrix multiplication associative?

Video: Vim li cas matrix multiplication associative?

Video: Vim li cas matrix multiplication associative?
Video: Is matrix multiplication commutative | Matrices | Precalculus | Khan Academy 2024, Hlis ntuj nqeg
Anonim

Matrix sib npaug yog koom nrog. Txawm hais tias nws tsis yog kev sib txuas lus, nws yog kev sib koom ua ke. Qhov ntawd yog vim nws sib haum rau kev ua haujlwm, thiab qhov ntawd yog kev sib koom ua ke. Muab peb lub luag haujlwm f, g, thiab h, peb yuav qhia (f ◦ g) ◦ h=f ◦ (g ◦ h) los ntawm kev qhia ob sab muaj qhov tseem ceeb rau txhua tus x.

Koj ua pov thawj li cas associative matrix multiplication?

Matrix multiplication is associative

Yog A yog m×p matrix, B yog p×q matrix, thiab C yog q×n matrix, ces A(BC)=(AB)C.

Puas matrix multiplication ua raws li txoj cai lij choj?

Sal qhia tias matrix ntau yog sib koom. Kev ua lej, qhov no txhais tau hais tias rau peb tus lej A, B, thiab C, (AB)C=A(BC).

txhais li cas rau kev sib sau ua ke?

Cov cuab yeej cuab tam yog txoj cai lij choj uas hais tias txoj hauv kev uas muaj feem cuam tshuam nrog qhov teeb meem sib npaug tsis hloov khoom. Piv txwv li: 5 × 4 × 2 5 × 4 × 2 5 × 4 × 2.

Puas yog matrix multiplication commutative associative lossis distributive?

Matrix sib npaug tsis yog kev sib piv.

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