{"id":5698,"date":"2025-07-15T13:34:44","date_gmt":"2025-07-15T13:34:44","guid":{"rendered":"https:\/\/functiontranslator.com\/inverze-funkce\/"},"modified":"2021-02-26T09:59:39","modified_gmt":"2021-02-26T09:59:39","slug":"minverse","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/minverse\/","title":{"rendered":"INVERZE"},"content":{"rendered":"

V oblasti tabulkov\u00fdch kalkul\u00e1tor\u016f jako jsou Microsoft Excel a Google Sheets existuje \u0159ada funkc\u00ed, kter\u00e9 usnad\u0148uj\u00ed pr\u00e1ci s daty. Jednou z pokro\u010dil\u00fdch funkc\u00ed je MINVERSE<\/strong> v Excelu a INVERZE<\/strong> v Google Sheets, kter\u00e9 slou\u017e\u00ed k v\u00fdpo\u010dtu inverzn\u00ed matice. Tato funkce nach\u00e1z\u00ed uplatn\u011bn\u00ed v oblastech jako statistika, in\u017een\u00fdrstv\u00ed, a kdekoliv jinde, kde je pot\u0159eba manipulace s maticemi.<\/p>\n

Podrobn\u00fd popis a syntaxe funkce<\/h2>\n

Funkce MINVERSE<\/code> v Excelu a INVERZE<\/code> v Google Sheets jsou ur\u010deny k v\u00fdpo\u010dtu inverzn\u00ed matice pro danou \u010dtvercovou matici. Inverzn\u00ed matice je matematick\u00e1 struktura, kter\u00e1 po vyn\u00e1soben\u00ed p\u016fvodn\u00ed matic\u00ed vrac\u00ed jednotkovou matici. Je d\u016fle\u017eit\u00e9, \u017ee pracujeme pouze s \u010dtvercov\u00fdmi maticemi (po\u010det \u0159\u00e1dk\u016f a sloupc\u016f mus\u00ed b\u00fdt stejn\u00fd) a determinant matice nesm\u00ed b\u00fdt nulov\u00fd, co\u017e znamen\u00e1, \u017ee matice je invertibiln\u00ed.<\/p>\n

Syntaxe pro ob\u011b funkce vypad\u00e1 n\u00e1sledovn\u011b:<\/p>\n

=MINVERSE(array) =INVERZE(array)<\/code><\/pre>\n
kde parametr array<\/code> ozna\u010duje \u010dtvercovou matici.<\/p>\n
Praktick\u00e9 aplikace funkce<\/h2>\n
\u00daloha 1: \u0158e\u0161en\u00ed syst\u00e9mu line\u00e1rn\u00edch rovnic<\/h3>\n
Inverzn\u00ed matice je kl\u00ed\u010dov\u00e1 pro \u0159e\u0161en\u00ed syst\u00e9m\u016f line\u00e1rn\u00edch rovnic ve tvaru AX = B, kde A je matice koeficient\u016f, X matice prom\u011bnn\u00fdch a B matice v\u00fdsledk\u016f. Pou\u017eit\u00ed inverzn\u00ed matice k zobrazen\u00ed \u0159e\u0161en\u00ed lze prov\u00e9st n\u00e1sledovn\u011b:<\/p>\n
=MMULT(MINVERSE(A), B)<\/code><\/pre>\n
Pro p\u0159eddefinovan\u00e9 matice v Excelu nebo Google Sheets, nap\u0159\u00edklad:<\/p>\n
    \n
  • A = {{2, 1}, {5, 7}}<\/li>\n
  • B = {{11}, {13}}<\/li>\n<\/ul>\n
    V\u00fdpo\u010det vypad\u00e1 takto:<\/p>\n
    =MMULT(MINVERSE({{2, 1}, {5, 7}}), {{11}, {13}})<\/code><\/pre>\n
    Tento p\u0159\u00edklad vr\u00e1t\u00ed \u0159e\u0161en\u00ed pro prom\u011bnn\u00e9 syst\u00e9mu rovnic.<\/p>\n
    \u00daloha 2: Anal\u00fdza citlivosti v ekonomii<\/h3>\n
    Inverzn\u00ed matice se \u010dasto vyu\u017e\u00edv\u00e1 v ekonomii k anal\u00fdze z\u00e1vislost\u00ed mezi prom\u011bnn\u00fdmi. P\u0159edstavme si matici A, kter\u00e1 p\u0159edstavuje koeficienty r\u016fzn\u00fdch ekonomick\u00fdch faktor\u016f. S pomoc\u00ed inverzn\u00ed matice m\u016f\u017eeme analyzovat, jak tyto faktory ovliv\u0148uj\u00ed ekonomick\u00e9 indik\u00e1tory.<\/p>\n
    K v\u00fdpo\u010dtu m\u016f\u017eeme pou\u017e\u00edt:<\/p>\n
    =INVERZE(A)<\/code><\/pre>\n
    Praktick\u00fd p\u0159\u00edklad v Google Sheets by vypadal takto:<\/p>\n
    =INVERZE({{1, 2}, {3, 4}})<\/code><\/pre>\n
    Jako v\u00fdsledek z\u00edsk\u00e1me inverzn\u00ed matice, kter\u00e9 n\u00e1m umo\u017en\u00ed odhalit vliv jednotliv\u00fdch ekonomick\u00fdch faktor\u016f.<\/p>\n
    Dom\u00e9na inverzn\u00edch matic je rozs\u00e1hl\u00e1 a jej\u00ed pochopen\u00ed otev\u00edr\u00e1 dve\u0159e ke komplexn\u00edmu analytick\u00e9mu n\u00e1hledu v \u0159ad\u011b discipl\u00edn v\u010detn\u011b financ\u00ed, in\u017een\u00fdrstv\u00ed, a po\u010d\u00edta\u010dov\u00fdch v\u011bd. Excel a Google Sheets zde poskytuj\u00ed efektivn\u00ed n\u00e1stroje pro manipulaci s t\u011bmito matematick\u00fdmi koncepty.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Vr\u00e1t\u00ed inverzn\u00ed matici<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[282],"tags":[],"class_list":["post-5698","post","type-post","status-publish","format-standard","hentry","category-matematicke-a-trigonometricke"],"acf":[],"yoast_head":"\nFunkce MINVERSE (INVERZE) v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije MINVERSE (INVERZE) u Excelu i Google tablicama. 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