matrisalar ustida amallar

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презентация powerpoint matrisalar. matrisalar ustida amallar. matrisa tushunchasi. matrisalarni qo’shish, ayirish, o’zgarmas songa ko’paytirish hamda matrisani matrisaga ko’paytirish reja: 1. matrisa tushunchasi. 2. matrisalarni qo’shish, ayirish, o’zgarmas songa ko’paytirish. 3. matrisani matrisaga ko’paytirish. 3 matrisalar ustida amallar e’tiborlaringiz uchun rahmat!!! image1.emf image2.emf image3.emf image4.emf image5.emf image6.emf image7.emf image8.emf image9.emf image10.emf image11.emf image12.emf 𝑚∙𝑛 ta (𝑚 𝜖 𝑁,𝑛 𝜖 𝑁) sonlarning y o‘l va ustun tarzida t o‘g‘ri to‘rtburchak ko‘rinishida (shaklida) ifodalangan ushbu ൮ 𝑎 11 𝑎 12 . . .𝑎 1𝑛 𝑎 21 𝑎 22 . . .𝑎 2𝑛 . . . . . . . . . . . 𝑎 𝑚1 𝑎 𝑚2 . . .𝑎 𝑚𝑛 ൲ jadval [𝑚×𝑛] o‘lchovli matrisa deyiladi. matrisani tashkil etgan sonlar uning elementlari deyiladi. matrisaning elementlari ikki indeks bilan yozilib, birinchi indeks shu element turgan (j oylashgan) y o‘lning, ikkinchi indeks esa ustun nomerini bildiradi. odatda matrisalar bosh harflar bilan belgilanadi 𝐴=൮ 𝑎 …

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entlari matrisa bosh diagonal elementlar i deyiladi. agar (1) kvadrat matrisaning bosh dia gonallarida turgan elementlaridan boshqa barcha elementlar nol b o‘lsa ൮ 𝑎 11 0 0 . . . 0 0 𝑎 22 0 . . . 0 . . . . . . . . . . . 0 0 0. . .𝑎 𝑛𝑛 ൲ unda diagonal matrisa deyiladi. xususan, 𝒂 𝟏𝟏 =𝒂 𝟐𝟐 ....=𝒂 𝒏𝒏 =𝟏 bo‘lsa 𝐸= ۉ ۈ ۇ 1 0 0 . . . 0 0 1 0 . . . 0 0 0 1 . . . 0 . . . . . . . . . . 0 0 0 . . . 0 ی ۋ ۊ uni birlik matrisa deyiladi. agar matrisa bitta ustundan iborat b o‘lsa, 𝐶=ቌ 𝑎 1 𝑎 2 ⋮ 𝑎 𝑚 ቍ uni ustun matrisa , bitta yo‘ldan iborat b o‘lsa, d= ሺ 𝑏 1 𝑏 2 …

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trisa ko‘paytmasi deyiladi va 𝒌∙𝑨 kabi belgilanadi. masalan: a=ቀ 0−42 3 45 ቁ, 𝑘=2 𝑘∙𝐴=ቀ 0−84 6 810 ቁ bo‘ladi. matrisalarnin g yig‘indisi, ayirmasi, matrisani songa k o‘paytirish ushbu xossalarga ega. 1). 𝐴+𝐵= 𝐵+𝐴 2). 𝐴+(𝐵+𝐶) = (𝐴+𝐵)+𝐶 3). 𝐴+0=𝐴, 4). 𝐴−𝐴=0, 5). 1∙𝐴=𝐴, 6). 𝛼(𝐴+𝐵)=𝛼𝐴+𝛼𝐵, 7). ሺ 𝛼+𝛽 ሻ 𝐴=𝛼𝐴+𝛽𝐴, 8). 𝛼∙ ሺ 𝛽 𝐴 ሻ = ሺ 𝛼∙𝛽 ሻ 𝐴, bunda 𝐴,𝐵,𝐶− matrisalar, 𝛼 va 𝛽−sonlar. ikki matrisalar k o‘paytmasi tushunchasini kiritishda k o‘paytiriladigan matrisalarning birinchisining ustunlar soni ikkinchisining y o‘llar soniga teng bo‘lishi talab qilinadi. aytaylik, [𝑚×𝑛] tartibli 𝐴=൮ 𝑎 11 𝑎 12 . . .𝑎 1𝑛 𝑎 21 𝑎 22 . . .𝑎 2𝑛 . . . . . . . . . . . 𝑎 𝑚1 𝑎 𝑚2 . . .𝑎 𝑚𝑛 ൲ matrisa bilan, ሾ 𝑛×𝑘 ሿ −tartibli 𝐵=൮ 𝑏 11 𝑏 12 . . .𝑏 1𝑘 𝑏 21 𝑏 22 . . .𝑏 …

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презентация powerpoint matrisalar. matrisalar ustida amallar. matrisa tushunchasi. matrisalarni qo’shish, ayirish, o’zgarmas songa ko’paytirish hamda matrisani matrisaga ko’paytirish reja: 1. matrisa tushunchasi. 2. matrisalarni qo’shish, ayirish, o’zgarmas songa ko’paytirish. 3. matrisani matrisaga ko’paytirish. 3 matrisalar ustida amallar e’tiborlaringiz uchun rahmat!!! image1.emf image2.emf image3.emf image4.emf image5.emf image6.emf image7.emf image8.emf image9.emf image10.emf image11.emf image12.emf 𝑚∙𝑛 ta (𝑚 𝜖 𝑁,𝑛 𝜖 𝑁) sonlarning y o‘l va ustun tarzida t o‘g‘ri to‘rtburchak ko‘rinishida (shaklida) ifodalangan ushbu ൮ 𝑎 11 𝑎 12 . . .𝑎 1𝑛 𝑎 21 𝑎 22 . . .𝑎 2𝑛 . . . . . . . . . . . 𝑎 𝑚1 𝑎 𝑚2 . . .𝑎 𝑚𝑛 ൲ jadval [𝑚×𝑛] o‘lchovli matrisa deyiladi. matrisani tashkil etgan sonlar uning element...

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