Matrica e adjunguar dhe përcaktori i adjunguar: Dallime mes rishikimesh
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Rreshti 1:
{{StyllaMatricatdhepërcaktorët|MP}}
<center><math>adj \ A=\begin{bmatrix}
A_{11} & A_{21} & \cdots & A_{n1} \\
Line 8 ⟶ 9:
A_{1n} & A_{2n} & \cdots & A_{nn}
\end{bmatrix}</math>(...29)</center>
<center><math>\det \ adj \ A=\begin{bmatrix}
A_{11} & A_{21} & \cdots & A_{n1} \\
Line 16 ⟶ 19:
A_{1n} & A_{2n} & \cdots & A_{nn}
\end{bmatrix}</math>(...30)</center>
<center><math>a_{i1}A_{k1}+a_{i2}A_{k2}+ \cdots +a_{in}A_{kn}=\begin{cases} D, & kur \ i=k \\ 0, & kur \ i\ne k \end{cases}</math> (...28b)</center>
<center><math>a_{1i}A_{1k}+a_{2i}A_{2k}+ \cdots +a_{ni}A_{nk}=\begin{cases} D, & kur \ i=k \\ 0, & kur \ i\ne k \end{cases}</math> (...28c)</center>
<center><math>A \cdot adj\,A=
\begin{bmatrix}
Line 27 ⟶ 35:
0 & & &D
\end{bmatrix}</math>(...29a)</center>
<center><math>(\det A) (\det adj\,A)=(\det A)^n \,</math>(...31}</center>
<center><math>\det adj\,A=(\det A)^{n-1} \,</math>.(...31a)</center>
==Shembuj==
<center><math>A=\begin{bmatrix}
3 &-4 &5 \\
Line 37 ⟶ 51:
3 &-5 &-1
\end{bmatrix}</math>.</center>
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</math>
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<center><math>\det adj\,A=(-1)^2=1</math>,</center>
<center><math>\det \begin{vmatrix}
8 &-29 &11 \\
Line 106 ⟶ 126:
-1 &3 &-1
\end{vmatrix}=1</math>.</center>
[[Category:Matricat]][[Category:Përcaktorët]]
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