Kalkaaliyihii Matrix
Ku dar, isku dar, ku beddel, oo ka heli determinant iyo in kastoo matric online.
Ku saabsan Kalkaaliyahan
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.
Su'aalaha badanaa la isweydiiyo
Maxaa miisaanka matrices la taageeray?
Waxaad ku dari kartaa row iyo tiirka ka 1 × 1 ilaa 5 × 5 ee matric kasta. Determinant iyo in kastoo ay u baahan yihiin matric square.
Maxaa yeelay, ma aan ku badin karaa labadayda matrices?
Matrix badlidda u baahan tahay tirada tiirka ee matris koowaad si ay u siman yihiin tirada row of labaad. The calculator kuu sheegi marka ay miisaanka ma isku mid ah.
Marka ma matrix leeyahay in kastoo?
A matris square ma leh in kastoo marka ay determinant waa zero — waxaa loo yaqaan midab. The calculator warbixinnada this in kastoo natiijo ah.
Sidee baan u heli karaa go'aanka ah 2 × 2 ama 3 × 3 matris?
Set matrics in square, ku dar lambarrada iyo dooro hawlgalka determinant. For a 2 × 2 waxay xisaabin ad - bc; for a 3 × 3 waxay kordhisaa along a row. A natiijooyinka zero macnaheedu waa matrics waa mid gaar ah oo aan la inverse.
Waa maxay transpose of a matric?
The transpose isku beddelo row iyo tiir, sidaas daraaddeed, ku soo galaya row i, j tiirka u wareegaya row j, j tiirka. A 2 × 3 matriis noqdaa 3 × 2. Dooro hawlgalka transpose in ay u arkaan in ay tahay mid kasta oo miisaanka.
Sidee bay u shaqeysaa tirakoobka scalar?
Qof kasta oo galaya matris-ka waxaa lagu kordhiyaa tirada isku midka ah, sidaa darteed, haddii aad ku kordhiso [[1, 2], [3, 4]] 3 waxaad heli doontaa [[3, 6], [9, 12]. Waxay kordhisaa matris-ka oo dhan iyadoon qaabkiisa la beddelin.
Ma matrix laba jibaaran commutative?
No. In guud ahaan A × B ma aha mid la mid ah sida B × A, iyo amar mid ah waa in ay waafaqsan yihiin halka kale ma aha mid la qeexay oo dhan, sababtoo ah isku-darka ku xiran tahay tiirka ee matrics koowaad oo la mid ah row of labaad.
Natiijooyinka waa tirakoobka loogu talagalay tilmaamaha guud oo keliya, maaha dhaqaale, caafimaad ama talo bixin canshuur.