I-Calculator ye-Matrix
Yongeza, ukuphindaphinda, utshintshe, kwaye ufumane i determinant ne reverse ye matric kwi-intanethi.
Malunga nale Calculator
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 ebuza rhoqo
Ubungakanani bematriki exhaswa?
Uyakwazi ukumisela imiqolo kunye neekholam ukusuka kwi 1×1 ukuya kwi 5×5 ye-matrix nganye. Ugqibo kunye nokujika-jika kudinga i-matrix yesikwere.
Kutheni ndingaphindaphindwa ii-matrices zam ezimbini?
Ukuphindaphinda kwe-matrix kudinga inani leekholam ze-matrix yokuqala ukuba lilingana nenani leendawo zesibini. I-calculator ithetha ukuba xa ubungakanani abuhambelani.
Xa i-matrix ayinakuguquka?
I-matrix yesikwere ayinakutshintshwa xa i-determinant yayo i-zero - ibizwa ngokuba yi-singular. I-calculator ixela oku endaweni yeziphumo.
Ndiyifumana njani i-determinant ye-2×2 okanye i-3×3 matrix?
Cwangcisa i matric kwi square, ngenisa amanani kwaye ukhethe usebenziso olugqibekileyo. Kwi 2×2 ibala ad - bc; kwi 3×3 ikhupha umgca. Isiphumo esingenalutho sithetha ukuba i matric i singuli kwaye ayinakuguquka.
Yintoni ukutshintshwa kwe-matrix?
Uguqulelo lutshintshela imiqolo kunye neekholam, ngoko ke ungeniso kumqolo i, umqolo j luya ku mqolo j, umqolo i. I 2×3 imatrikhi ivela kwi 3×2. Khetha uguqulelo lomsebenzi ukubona nakweyiphi na ubungakanani.
Ukuphindaphinda kwe-scalar kusebenza njani?
Yonke ingxelo ye-matrix iphindaphindwa ngenani elifanayo, ngoko ukuphindaphindwa kwe-[[1, 2], [3, 4]] nge-3 kunika i-[[3, 6], [9, 12]. Ikhupha i-matrix yonke ngaphandle kokuguqula ubungakanani bayo.
Ingaba ukunyuka kwematrix kutshintshile?
Hayi. Ngokubanzi i-A×B ayifani ne-B×A, kwaye ulawulo olunye lunokusebenza ngelixa elinye alichazwanga, kuba ukuphindaphinda kuxhomekeke kumhlathi we-matrix yokuqala ohambelana nemigca yesibini.
Results are estimates for general guidance only, not financial, medical or tax advice.