Calcolatrice Matrici

Una matrice è una tabella rettangolare di numeri disposti in righe e colonne. Le operazioni su matrici (addizione, moltiplicazione, determinante) sono fondamentali in algebra lineare, grafica 3D, machine learning e risoluzione di sistemi di equazioni lineari.

Il determinante è un valore scalare associato a una matrice quadrata. Se det(A) ≠ 0, la matrice è invertibile. Il det di una 2×2: ad-bc. Per una 3×3 si usa la regola di Sarrus o l'espansione per cofattori.

A×B ≠ B×A in generale, perché il prodotto righe×colonne cambia risultato in base all'ordine. L'addizione di matrici invece è commutativa (A+B = B+A). Questa proprietà è fondamentale in fisica (rotazioni 3D) e grafica computazionale.

Addition, subtraction, the product of two matrices and the determinant of a single one. The result updates as soon as a coefficient changes, so you can watch what each edit does to the answer.

Addition and subtraction need matrices of the same size, because they work element by element. The product has a different rule: the columns of the first must match the rows of the second.

Because each entry of the result comes from a row of the first matrix meeting a column of the second. Swapping the order pairs different rows and columns, so A times B and B times A are generally different matrices.

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