I-Calculator ye-Matric
Yongeza, uphinda, uguqula, futhi uthole isinqumo kanye nokushintsha kwesimo se-matrix eline-inthanethi.
Malunga nale khadi
A matrix calculator performs the core operations of linear algebra: addition and subtraction, multiplication, scalar multiplication, transpose, determinant and inverse for square matrices. Set the size, type in the numbers, and pick an operation to see the result matrix instantly.
You choose the number of rows and columns (up to 5×5), fill in the entries, and pick an operation. Addition and subtraction work entry by entry on two matrices of the same size; multiplication takes the dot product of each row of the first matrix with each column of the second, so the first matrix’s column count must equal the second’s row count. Transpose flips rows and columns, while the determinant and inverse apply only to square matrices — and the inverse exists only when the determinant is not zero.
For a worked example, the 2×2 matrix [[1, 2], [3, 4]] has determinant 1·4 − 2·3 = -2, and because that is non-zero it has an inverse, (1/-2)·[[4, -2], [-3, 1]] = [[-2, 1], [1.5, -0.5]]. Its transpose is [[1, 3], [2, 4]]. Students and engineers use it for solving linear systems, transforming coordinates and vectors, computer graphics, and checking linear-algebra homework quickly.
Imibuzo ebuzwa kaningi
Ingabe ubukhulu be-matrices buxhaswa?
Ungahlela imigomo nemihlomulo kusuka ku-1×1 kuya ku-5×5 nge-matrix ngayinye. U determinant no inverse udinga i-matrix yesikwere.
Kungani ngingakwazi ukuphindaphinda ama-matrices ami amabili?
Ukuphindaphinda kwe-matrix kudinga inani lamakholamu ematrix yokuqala ukuba lilingana nenani lama-rowes wesibili. I-calculator itshela uma ubukhulu abulingani.
Ingabe imatrix ayinayo inqoba?
I-matrix yesikwere ayinayo inverted uma i-determinant yayo iyisizero - ibizwa ngokuthi i-single. I-calculator ikhombisa lokhu endaweni yemiphumela.
Ngiyithola kanjani i-determinant ye-2×2 noma i-3×3 matrix?
Misela i-matrix ibe yi-square, faka inani bese ukhetha umsebenzi odeterminant. I-2×2 ibala i-ad − bc; i-3×3 ikhula ngaphaya komugqa. Imiphumela engu-zero isho ukuthi i-matrix ihlukile futhi ayinakuphikiswa.
Yini ukudluliswa kwe-matrix?
Ukudluliswa kushintsha imigomo nemigqa, ngakho-ke okungeniswe kumgqa i, umgqa j kuhamba kumgqa j, umgqa i. I-2×3 matrix izoba 3×2. Khetha ukwenziwa kwe-transpose ukukubona nganoma yisiphi isibalo.
Ukuphindaphinda kwe-scalar kusebenza kanjani?
Yonke into engeniswe kwi-matrix iphindaphindwa ngenombolo efanayo, ngakho-ke ukuphindaphindwa kwe-[[1, 2], [3, 4]] nge-3 kunikeza i-[[3, 6], [9, 12]. Ilinganisela i-matrix yonke ngaphandle kokushintsha ifomu layo.
Ingabe uku multiplicity matrix i-commutative?
Akukho. Ngokuvamile A × B akuyona efanayo njenge B × A, futhi isinqumo esisodwa singasebenzi ngenkathi enye ayichazwanga ngaso sonke isikhathi, ngoba ukuphindaphinda kuxhomekeke ezicongweni zematrix yokuqala efana izixhumanisi zesibili.
Izibalo ziyisilinganiso esisetshenziswa ukuqondisa kuphela, hhayi ukucebisa ngezimali, ukwelashwa noma ukukhokha.