**Sù-hong hâng-lia̍t** (Hàn-jī: 四方行列), mā kiò-chò **hong-tīn** (Hàn-jī: 方陣), sī chōa kap khiā ê sò͘-liōng pêⁿ-pêⁿ ê hâng-lia̍t. Chi̍t ê ***n* kai sù-hong hâng-lia̍t** (Hàn-jī: *n*階四方行列), ū *n* chōa kap *n* khiā, tiō sī {\displaystyle n\times n} hâng-lia̍t. Chi̍t ê sù-hong hâng-lia̍t, piáu-ta̍t khah bêng-hián ·leh, tiō sī

{\displaystyle A\_{n\times n}={\begin{bmatrix}a\_{11}&a\_{12}&\cdots &a\_{1n}\\a\_{21}&a\_{22}&\cdots &a\_{2n}\\\vdots &\vdots &\ddots &\vdots \\a\_{n1}&a\_{n2}&\cdots &a\_{nn}\end{bmatrix}}}

Te̍k-sû chióng-lūi
------------------

### Tùi-kak hâng-lia̍t kap saⁿ-kak hâng-lia̍t

Tùi-kak hâng-lia̍t tiō sī chú-tùi-kak-sòaⁿ lóng m̄ sī lêng, kî-thaⁿ lóng sī lêng ê sù-hong hâng-lia̍t. Chún-kóng chú-tùi-kak-sòaⁿ ê téng-thâu (ia̍h-sī ē-kha) lóng sī lêng, tiō hō-chò ē-saⁿ-kak hâng-lia̍t ((ia̍h téng-saⁿ-kak hâng-lia̍t)).

### Tan-ūi hâng-lia̍t

Tan-ūi hâng-lia̍t tiō sī chú-tùi-kak-sòaⁿ lóng sī chi̍t, kî-thaⁿ lóng sī lêng ê sù-hong hâng-lia̍t.

### Khó-ge̍k hâng-lia̍t

Khó-ge̍k hâng-lia̍t tiō sī ū ge̍k hâng-lia̍t ê sù-hong hâng-lia̍t. Khó-ge̍k hâng-lia̍t it-tēng sī hui-te̍k-ī hâng-lia̍t. 

### Tùi-thīn hâng-lia̍ t

Tùi-thīn hâng-lia̍t tiō sī choán-tì kah i ka-kī sio-kâng ê sù-hong hâng-lia̍t, i.e. {\displaystyle A^{\mathrm {T} }=A}. Chhoa̍h tùi-thīn hâng-lia̍t tiō sī boán-chiok {\displaystyle A^{\mathrm {T} }=-A} ê sù-hong hâng-lia̍t.
Tùi ho̍k sù-hong hâng-lia̍t {\displaystyle A} lâi kóng, kiōng-tam choán-tì kah i ka-kī sio-kâng ·ê, kiô-chò Hermite hâng-lia̍t, i.e. {\displaystyle A^{\*}=A}; nā-chún sī {\displaystyle A^{\*}=-A}, tiō kiò-chò chhoa̍h Hermite hâng-lia̍t.

### Ti̍t-kau hâng-lia̍t

Ti̍t-kau hâng-lia̍t tiō sī choán-tì kah ge̍k sio-kâng ê sù-hong hâng-lia̍t, i.e. {\displaystyle A^{\mathrm {T} }=A^{-1}}. Tńg-se̍h hâng-lia̍t sī chi̍t chióng te̍k-sû ê ti̍t-kau hâng-lia̍t, in ê hâng-lia̍t-sek lóng sī chi̍t.
Tùi ho̍k sù-hong hâng-lia̍t {\displaystyle A} lâi kóng, kiōng-tam choán-tì kah ge̍k sio-kâng ·ê, kiô-chò Unitary hâng-lia̍t, i.e. {\displaystyle A^{\*}=A^{-1}}.

### Chiàⁿ-tēng hâng-lia̍t

### Chèng-kui hâng-lia̍t

Sèng-chit
---------

### Jiah

### Hâng-lia̍t-sek

### Kò͘-iú-ta̍t kap kò͘-iú hiòng-liōng

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| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
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| * hián
* lūn
* pian
Sòaⁿ-sèng tāi-sò͘ |
| --- |
|  |
| Liân-li̍p sòaⁿ-sèng hong-têng-sek | 
* Gauss siau-tû-hoat
* Kramer kong-sek
* Gauss–Seidel hong-hoat
* Jacobi hong-hoat

 | Three dimensional Euclidean space |
|  |
| Hiòng-liōng | 
* Sòaⁿ-sèng to̍k-li̍p
* Sòaⁿ-sèng cho͘-ha̍p
* Hiòng-liōng tâu-iáⁿ
* Ki-té
* Siang-tùi ki-té

 |
|  |
| Hiòng-liōng khong-kan | 
* Siang-tùi khong-kan
* Chú-khong-kan
* Hu̍t khong-kan
* Kò͘-iú khong-kan
* Kong-gī kò͘-iú khong-kan
* Sòaⁿ-sèng thí-khui
* Hâng khong-kan
* Lia̍t khong-kan
* Chhù-goân

 |
|  |
| Lāi-chek khong-kan | 
* Tiám-chek
* Cauchy–Schwarz put-téng-sek
* Ti̍t-kau
* Chèng-kui ti̍t-kau
* Chèng-kui ti̍t-kau ki-té
* Gram–Schmidt hong-hoat
* Ti̍t-kau pó͘ khong-kan

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|  |
| Hâng-lia̍tSòaⁿ-sèng siá-siōng | 

|  |  |
| --- | --- |
| Ián-sǹg | 
* Sêng-hoat
* Choán-tì
* Kiōng-tam choán-tì
* Ge̍k hâng-lia̍t
* Sarrus hong-hoat
* Ki-pún piàn-hêng
* Tùi-kak-hòa
* Hun-kái
	+ LU
	+ QR
	+ Cholesky
	+ Schur
	+ Te̍k-ì-ta̍t
	+ Kò͘-iú-ta̍t

 |
|  |
| Siōng-sò͘ | 
* Hâng-lia̍t-sek
* Jiah
* Kai-sò͘
* Kò͘-iú-ta̍t
* Kò͘-iú hâng-lia̍t-sek
* Chòe-sió to-hāng-sek
* Put-piàn in-chú
* sè-hâng-lia̍t-sek

 |
|  |
| Lūi-pia̍t | 
* Sù-hong
* Khó-ge̍k
* Tan-ūi
* Tùi-thīn
* Hermite
* Chèng-kui
* Ti̍t-kau
* Tńg-se̍h
* Unitary
* Be̍k-lêng
* Chiàⁿ-tēng
* Toaⁿ-bô͘
* Tì-ōaⁿ
* Block
* Saⁿ-kak
* Tùi-kak
* Khó-tùi-kak-hòa
* Sio-siâng

 |

 |
|  |
| Hâng-lia̍t-sek | 
* Laplace tián-khui
* Î-in-chú hâng-lia̍t
* Vandermonde hâng-lia̍t-sek
* Chiong-kiat-sek
* Cauchy-Binet kong-sek

 |
|  |
| To-goân sòaⁿ-sèng tāi-sò͘ | 
* Chhe-chek
* Gōa-chek
* Kronecker chek
* Ti̍t-chek
* Gōa tāi-sò͘
* Tùi-thīn tāi-sò͘
* Tiuⁿ-liōng tāi-sò͘

 |
|  |
| Hâng-lia̍t-sek hâm-sò͘ | 
* Hâng-lia̍t ê chí-sò͘
* Hâng-lia̍t ê tùi-sò͘
* Hâng-lia̍t ê pêng-hong-kin

 |
|  |
| Kî-thaⁿ | 
* Sûn-liōng
* Cayley-Hamilton tēng-lí
* Perron–Frobenius tēng-lí
* Schur pó͘ hâng-lia̍t
* Sylvester koàn-sèng tēng-lí

 |
|  |
| 
* Lūi-pia̍t
* Tāi-kong
* Sò͘-ha̍k Mn̂g-kháu-ia̍h

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