Nā ʻano matrices me nā laʻana

Ma kēia paʻi ʻana, e noʻonoʻo mākou i ke ʻano o nā matrices, e hele pū me lākou me nā hiʻohiʻona kūpono e hōʻike ai i nā mea manaʻo i hōʻike ʻia.

Hoʻomanaʻo i kēlā Ke kumu – He ʻano papa ʻāʻī kēia me nā kolamu a me nā lālani i hoʻopiha ʻia me kekahi mau mea.

Nā ʻano matrices

1. Ina hookahi lalani ka matrix, ua kapaia line vector (a i ʻole lālani matrix).

la'ana:

Nā ʻano matrices me nā laʻana

2. Ua kapa ʻia ka matrix me hoʻokahi kolamu kolamu vector (a i ʻole matrix-column).

la'ana:

Nā ʻano matrices me nā laʻana

3. pāhoʻonui he matrix i loaʻa ka helu like o nā lālani a me nā kolamu, ʻo ia hoʻi m (nā kaula) like n (nā kolamu). Hiki ke hāʻawi ʻia ka nui o ka matrix n x n or m x mkahi m (n) – kāna kauoha.

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Nā ʻano matrices me nā laʻana

4. ʻole he matrix, ua like na mea a pau me ka nul (aij = 0).

la'ana:

Nā ʻano matrices me nā laʻana

5. Ka diagonal He matrix huinaha like ia me na mea a pau, koe na mea e waiho ana ma ka diagonal nui, ua like ia me ka ale. He triangular luna a me lalo i ka manawa like.

la'ana:

Nā ʻano matrices me nā laʻana

6. Single He ʻano o ka diagonal matrix i like nā mea a pau o ka diagonal nui me ka hoʻokahi. Hōʻike pinepine ʻia e ka leka E.

la'ana:

Nā ʻano matrices me nā laʻana

7. huikolu luna – ua like nā mea a pau o ka matrix ma lalo o ka diagonal nui me ka ʻole.

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Nā ʻano matrices me nā laʻana

8. huinakolu haahaa he matrix, ua like na mea a pau me ka zero maluna o ka diagonal nui.

la'ana:

Nā ʻano matrices me nā laʻana

9. hana ʻia He matrix i hoʻokō ʻia nā kūlana penei:

  • inā he lālani null i loko o ka matrix, he null nā lālani ʻē aʻe a pau ma lalo iho.
  • inā ʻo ka mea ʻole-null mua o kekahi lālani ma ke kolamu me ka helu ordinal j, a ʻo ka lālani aʻe ʻaʻole ia he null, a laila, ʻo ka mea ʻole-null mua o ka lālani aʻe e pono i loko o ke kolamu me ka helu ʻoi aʻe j.

la'ana:

Nā ʻano matrices me nā laʻana

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