Nhazi
Tinye, megharịa, gbanwee, ma ọ bụ chọpụta determinant na inver nke matrics n'ịntanetị.
N'ihe banyere calculator a
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.
Ajụjụ ndị a na-ajụkarị
Kedu ụdị matrisị ndị ahụ e nyere nkwado?
I nwere ike ihazi row na column site na 1×1 ruo 5×5 maka maịtríìk ọbụla. Determinant na inver̀és chọrọ square maịtríìk.
Gịnị mere m ji gaghị ewepụta maịtịs m abụọ?
Matrisị mmelite chọrọ ọnụọgụgụ nke columns nke mbụ matrisị ka ọ dị n'otu na ọnụọgụgụ nke row nke nke abụọ. Calculator na-agwa gị mgbe ọbụna
Olee mgbe maịlụs ahụ enweghị inweresị?
Skwáàrà matirisi enweghị inweréètì mgbe détèminàtà ya bụ séfọ́ọ̀ltụ̀ - a na-akpọ ya singūlọ̀ọ̀. Kalọ̀lụ̀tà ahụ na-egosipụta nke a n'ebe ọbụla n'ebe ọbụla nke nsonaazụ ahụ.
Olee otú m ga-esi hụ na m ga-ahụ ndezi nke 2×2 mọọbụ 3×3 maịlụs?
Hazie matríìsì ka ọ̀kwàrà, tinye ọnụọgụgụ na họrọ ọrụ detereminịtà. Maka 2×2 ọ na-ehazi ad − bc; maka 3×3 ọ na-ehazi n'ime row. Ndụmọdụ séèrò pụtara na matríìsì bụ singular na enweghị inver.
Gịnị bụ ntụgharị nke maịtriị?
Ntụgharị na-atụgharị row na colum, yabụ na nbanye na row i, colum j na-atụgharị na row j, colum i. 2×3 maịtriị na-aghọ 3×2. Họrọ ntụgharị ọrụ ka ịhụ ya maka ọbụla ọbụla nha.
Olee otú mbido mbido na-arụ ọrụ?
Nnweta niile nke matríìx a na-emultiplied site na ọnụọgụgụ a, yabụ na-emultiplied [[1, 2], [3, 4]] site na 3 na-enye [[3, 6], [9, 12]. O na-emeli matríìx niile n'enweghị gbanwee ụdị ya.
Ọ bụ maịtriị mbido kaadị ka ọbụla?
Ọ dịghị. N'ozuzu A × B bụ na-adịghị otu ihe dị ka B × A, na otu iwu nwere ike ka mma mgbe ọzọ bụ na-adịghị kọwaa na-agwụcha, n'ihi na multiplicity na-adabere na columns nke mbụ matric na-ejikọta row nke nke abụọ.
Ihe a na-ahụta bụ n'ihi nlekọta n'ozuzu ya, ọ bụghị nlekọta ego, ọgwụ ma ọ bụ nlekọta ego.