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Rau qhov idempotent matrix?

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Rau qhov idempotent matrix?
Rau qhov idempotent matrix?

Video: Rau qhov idempotent matrix?

Video: Rau qhov idempotent matrix?
Video: Tibneeg tus ntsuj plig mus rau qhov twg (Nkauj ntseeg tawm tshiab ) 2024, Tej zaum
Anonim

Ib tug idempotent matrix yog ib qho uas, thaum muab faib los ntawm nws tus kheej, tsis hloov . Yog hais tias lub matrix A yog idempotent, A2=A.

Yuav ua li cas rau lub square matrix ua idempotent?

Ib tug idempotent matrix yog ib tug square matrix uas thaum muab faib los ntawm nws tus kheej, muab lub resultant matrix li nws tus kheej. Hauv lwm lo lus, matrix P yog hu ua idempotent yog P2=P.

Qhov twg ntawm cov matrix hauv qab no yog ib qho idempotent matrix?

A square matrix A yog hais tias yog ib qho idempotent matrix yog A2=A.

Thaum lub matrix hu ua idempotent yog?

Definition 1. An n × n matrix B hu ua idempotent if B2=B. Piv txwv Tus lej matrix yog idempotent, vim I2=I · I=I.

Dab tsi ua rau matrix tsis muaj zog?

Tsuas yog cov lus tsis zoo ib yam idempotent matrix yog tus lej matrix; uas yog, yog hais tias ib tug tsis yog tus kheej matrix yog idempotent, nws tus naj npawb ntawm cov kab ywj siab (thiab kab) tsawg dua nws cov kab (thiab kab)., vim A yog idempotent.

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