Taxane

**Taxane **jamac **Taxaneyaal** waxay waxtar joogta ah u leedahay furfurista habdhiska isle'egyada toosan. Taxanayaalka siyaale kale oo badan waa loogu shaqaysan karaa:

Taxane waa teed laydi oo ka kooban m dhinactax iyo n joogtax oo tirooyin maangal ah. Taxane waxaa aalaaba lagu muujiyaa tibixda m × n (loo akhriyo "ma, na") m waxay utaagan tahay inta dhinactax ee taxanuhu leeyahay, n waxay utaagantahay inta jogtax ee taxanuhu leeyahay. Haddii m = n, taxanaha waxaa la yiraahdaa **taxane labajibbaarane ah**. Taxne waxaa lagu dhex xirtaa laba bilood ama laba sakal.

Tusaalooyinka soo socda waa taxanayaal:
: \mathbf{b)} = \begin{bmatrix}

2  \\
3  \\
1  \end{bmatrix} 3×1 

b. Taxane 3-dhinactax 1-joogtax ah

: \mathbf{t)} = \begin{bmatrix}

2 & 4 \\
3 & 0 \end{bmatrix} 2×2

t. Taxane 2-dhinactax 2-joogtax.

: \mathbf{j)} = \begin{bmatrix}

9 & 8 & 0 & 4 \end{bmatrix} 1×4

j. Taxane 1-dhinactax 4-joogtax ah.

: \mathbf{x)} = \begin{bmatrix}

9 & 8 & 6 & 7 \\
1 & 2 & 7 & 3  \end{bmatrix} 

x. Taxane 2-dhinactax 4-joogtax ah.

Taxanihii hal dhinactax kaliya leh waxaa la yiraa **Taxane dhinactax** markuu hal joogtax kaliyana waxaa la yiraa **Taxane joogtax**. Ku jirayaalka mid ka mid ah waxaa la yiraa **kutiirsanayaal**. Taxanaha waxaa lagu magacaabaa xaraf weyn, sida B, T, J iwm. Ama sumadda B m×n, taasoo u taagnaan karta taxana kasta oo leh m-dhinactax n-joogtax. Hoos dhigga (muujiyaha) m×n wuxuu u taaganyahay aaddimaha ama ama heerka taxanaha.

Inta kutiirsan ee taxanuhu leeyahay waxaa lagu helaa m oo lagu dhuftay n. Haddaba hadaan u noqonno tusaalaha kor ku xusan, waxaan aragnaa in: taxanaha (b) uu leeyahay addimo ah: 3×1; kan (t) 2×2; kan (j) 1×4; kan (x) uu leeyahay 2×4 sidaas oo kale taxanihii ah heerka m×n wuxuu ka kooban yahay taxanayaal ah m-dhinactax iyo taxanayaal ah n-joogtax. 

Taxabaha : **B***2×3* waa hubaal in **B***2×3* uu leeyahay 2 × 3 = 6 kutiirsanayaal.

**B***2×3*B = \begin{bmatrix} {b}_{1}&{b}_{2}&{b}_{3}\\{t}_{1}&{t}_{2}&{t}_{3} \end{bmatrix} B waxay leedahay laba taxane dhinactax oo ah B = \begin{bmatrix} ({b}_{1}&{b}_{2}&{b}_{3})\end{bmatrix} iyo T = \begin{bmatrix} ({t}_{1}&{t}_{2}&{t}_{3})\end{bmatrix} iyo saddex taxane oo ah joogtax 

: \mathbf{B} = 
 \left( \begin{array}{rrrr}
 b_{1}  \\
 t_{1}  \end{array} \right).
 : \mathbf{B} = 
 \left( \begin{array}{rrrr}
 b_{2}  \\
 t_{2}  \end{array} \right) iyo
 : \mathbf{B} = 
 \left( \begin{array}{rrrr}
 b_{3}  \\
 t_{3}  \end{array} \right).


Si ballaaran taxanayaalka waxaa loo isticmaalaa jabayto qoridda sidaan soo socota.
Tusaale:

Taxana guud ee heerka 2×3 waxaa loo qori karaa 
\begin{pmatrix} {a}_{11}&{a}_{12}&{a}_{13} \\{a}_{21}&{a}_{22}&{a}_{23} \end{pmatrix}

Taxana guud ee heerka m × n waxaa loo qori karaa

 \mathbf{A} = 
 \begin{bmatrix}
 a_{11} & a_{12} & \cdots & a_{1n} \\
 a_{21} & a_{22} & \cdots & a_{2n} \\
 \vdots & \vdots & \ddots & \vdots \\
 a_{m1} & a_{m2} & \cdots & a_{mn}
 \end{bmatrix}.

Waxaa loo soo gaabiyaa (a i j) marka i = (0,1,2,...m) j = (1,2,3,...n) ereyada kale ee taxanayaasha

Taxane maran.
Haddii tanayaal kutiirsanayaalkiisu dhammaan yihiin, eber, taxanahaas waxaa la yiraa tanaxane maran ama taxane eber waxaa lagu asteeyaa 0 m × n.

Melmel taxane.
Meelmeelka taxane B loono qoro B"" (u akhri "meelmeel B") waa taxane cusub oo ka yimid, B oo dhinactaxyadeeda la isku bedelay.

Isle'ekaanshaha taxanayaal.
Laba taxane B iyo T oo isla aaddimo ah waa isle'egyihiin haddii iyo haddii qura oo kutiirsanayaashoodu isku beegani isle'egyihiin.