Matrix Calculator
Kuwedzera, kupararira, transpose, uye kuwana determinant uye inverted madhiragi online.
Nezve iyi kalkulator
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.
Zvimwe zvinobvunzwa zvakanyanya
Ndeipi saizi matirisaiti anotsigirwa?
Unogona kuisa maoko uye makumbo kubva 1 × 1 kusvika 5 × 5 kune chero madhiraivha. Determinant uye inverted zvinoda square madhiraivha.
Nei handigone ku multiplice yangu maviri matiri?
Matrix multiplier inodiwa kuti huwandu hwemabhawa ekutanga madhiraivha kuti zvakaenzana nehuwandu hwemabwe ekutanga. The calculator inotiudza kana mavara haasi kusangana.
Kana madhiragi asina inverted?
A square matirivha ane hapana inverted kana determinant yake iri zero — inonzi singular. The calculator inotaura izvi kwete mubvunzo.
Ndeupi mubvunzo waungabvunza kuti: ‘Ndinogona here kuwana chikonzero chemadhiragi 2×2 kana 3×3?’
Kuisa madhiragi ku square, nyora nhamba uye sarudza determinant operation. For a 2×2 it computes ad − bc; for a 3×3 it expands along a row. A zero result means the matrix is singular and has no inverse.
Chii chinonzi transpose yematrix?
The transpose swaps rodzi uye mativi, saka muverengi mu row i, column j inofamba ku row j, column i. A 2 × 3 matirivhi ichava 3 × 2. Choose transpose chiitiko kuona kuti kwaiva chero upamhi.
Sei scalar multiplicity inoita basa?
Every entry of the matrix is multiplied by the same number, so multiplying [[1, 2], [3, 4]] by 3 gives [[3, 6], [9, 12]]. It scales the whole matrix without changing its shape.
Maitiro eku multiplier ari commutative?
No. Mupfungwa dzakawanda A×B hachisi chinhu chimwechete ne B×A, uye imwe nzira inogona kunge iri yakakodzera asi imwe haisi kuzivikanwa zvachose, nekuti kupararira kunoenderana nechitsauko chekutanga chemadhiraivha chinoenzana nechigaro chekutanga.
Zviratidzo zvemubvunzo ndezvekufungidzira kwechinangwa chekudzidzisa chete, kwete zvemari, zvehutano kana zvemari.