Cov yam ntxwv tseem ceeb ntawm cov modulus ntawm tus lej tiag

Hauv qab no yog cov khoom tseem ceeb ntawm cov modulus ntawm tus lej tiag (xws li zoo, tsis zoo thiab xoom).

Khoom Muaj Khoom 1

Lub modulus ntawm tus lej yog qhov kev ncua deb, uas tsis tuaj yeem tsis zoo. Yog li ntawd, lub modulus tsis tuaj yeem tsawg dua xoom.

|a| ≥ 0

Khoom Muaj Khoom 2

Lub modulus ntawm tus lej zoo yog sib npaug rau tib tus lej.

|a| = aAt ib > 0

Khoom Muaj Khoom 3

Lub module ntawm tus naj npawb tsis zoo yog sib npaug rau tib tus lej, tab sis nrog cov cim qhia.

|-a| = aAt ib <0

Khoom Muaj Khoom 4

Tus nqi kiag li yog xoom.

|a| = 0At ua = 0

Khoom Muaj Khoom 5

Cov modules ntawm cov zauv sib txawv yog sib npaug rau ib leeg.

|-a| = |a| = a

Khoom Muaj Khoom 6

Tus nqi ntawm tus lej a yog lub hauv paus square ntawm a².

Khoom Muaj Khoom 7

Lub modulus ntawm cov khoom yog sib npaug rau cov khoom ntawm modules ntawm cov zauv.

|ab| = |a| ⋅ |b|

Khoom Muaj Khoom 8

Lub modulus ntawm ib qho quotient yog sib npaug los faib ib qho modulus los ntawm lwm tus.

|a :b| = |a| : |b|