Nau'in matrices tare da misalai

A cikin wannan ɗaba'ar, za mu yi la'akari da waɗanne nau'ikan matrices ne, tare da su tare da misalai masu amfani don nuna abubuwan da aka gabatar.

Ka tuna da hakan matrix - Wannan wani nau'i ne na tebur na rectangular wanda ya ƙunshi ginshiƙai da layuka waɗanda ke cike da wasu abubuwa.

Nau'in matrices

1. Idan matrix ya ƙunshi jere ɗaya, ana kiran shi layin vector (ko matrix-jere).

Example:

Nau'in matrices tare da misalai

2. Ana kiran matrix mai kunshe da shafi ɗaya shafi vector (ko matrix-column).

Example:

Nau'in matrices tare da misalai

3. square matrix ne wanda ya ƙunshi adadin layuka da ginshiƙai iri ɗaya, watau m (strings) daidai n (ginshiƙai). Ana iya ba da girman matrix azaman n x n or m x mina m (n) – odar ta.

Example:

Nau'in matrices tare da misalai

4. Zero matrix ne, duk abubuwan da ke cikin su daidai suke da sifili (aij = 0).

Example:

Nau'in matrices tare da misalai

5. diagonal matrix murabba'i ne wanda dukkan abubuwa, ban da waɗanda ke kan babban diagonal, daidai suke da sifili. Yana da lokaci guda na sama da ƙananan triangular.

Example:

Nau'in matrices tare da misalai

6. single wani nau'i ne na matrix diagonal wanda duk abubuwan da ke cikin babban diagonal suke daidai da ɗaya. Yawancin lokaci harafin yana nunawa E.

Example:

Nau'in matrices tare da misalai

7. Upper triangular - duk abubuwan matrix da ke ƙasa da babban diagonal daidai suke da sifili.

Example:

Nau'in matrices tare da misalai

8. ƙananan triangular matrix ne, duk abubuwan da ke cikin su daidai suke da sifili sama da babban diagonal.

Example:

Nau'in matrices tare da misalai

9. tako matrix ne wanda aka gamsu da waɗannan sharuɗɗan don sa:

  • idan akwai layi mara kyau a cikin matrix, to duk sauran layuka da ke ƙasa ba su da komai.
  • idan kashi na farko mara maras tushe na wani jeri na musamman yana cikin ginshiƙi mai lamba j, kuma jeri na gaba ba shi da komai, to dole ne kashi na farko mara mara amfani na jere na gaba dole ne ya kasance a cikin ginshiƙi mai lamba mafi girma. j.

Example:

Nau'in matrices tare da misalai

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