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Calculadora de Matrizes

Some e multiplique matrizes 2x2.

Introdução

Matrix Calculator — Add and multiply 2x2 matrices. Enter Matrix 1: a, Matrix 1: b, Matrix 1: c, Matrix 1: d, Matrix 2: e, Matrix 2: f, Matrix 2: g, Matrix 2: h to get an instant, accurate result.

Fórmula

For two 2×2 matrices [[a,b],[c,d]] and [[e,f],[g,h]]: sum adds corresponding entries; product uses standard matrix multiplication (row × column dot products).

Passo a passo

  1. Enter the Matrix 1: a.
  2. Enter the Matrix 1: b.
  3. Enter the Matrix 1: c.
  4. Enter the Matrix 1: d.
  5. Enter the Matrix 2: e.
  6. Enter the Matrix 2: f.
  7. Enter the Matrix 2: g.
  8. Enter the Matrix 2: h.
  9. Click Calculate to see your result instantly.

Exemplo do mundo real

Example: With Matrix 1: a = 1, Matrix 1: b = 2, Matrix 1: c = 3, Matrix 1: d = 4, Matrix 2: e = 1, Matrix 2: f = 0, Matrix 2: g = 0, Matrix 2: h = 1, the Matrix Calculator gives Sum: 2, 2, 3, 5, Product: 1, 2, 3, 4.

Perguntas Frequentes

Does matrix multiplication order matter?
Yes — matrix multiplication is not commutative in general, so the calculator multiplies the first matrix by the second in the order entered.
What size matrices are supported?
2×2 matrices for both addition and multiplication.
What inputs does the Matrix Calculator need?
You'll need to provide: Matrix 1: a, Matrix 1: b, Matrix 1: c, Matrix 1: d, Matrix 2: e, Matrix 2: f, Matrix 2: g, Matrix 2: h. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Matrix Calculator?
The Matrix Calculator applies the formula exactly as calculated — For two 2×2 matrices [[a,b],[c,d]] and [[e,f],[g,h]]: sum adds corresponding entries; product uses standard matrix multiplication (row × column dot products). — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Matrix Calculator free to use?
Yes, the Matrix Calculator is completely free, requires no signup, and runs instantly in your browser.

Sobre a Calculadora de Matrizes

The Matrix Calculator uses a real, verifiable formula — For two 2×2 matrices [[a,b],[c,d]] and [[e,f],[g,h]]: sum adds corresponding entries; product uses standard matrix multiplication (row × column dot products). — so results are accurate every time, not an approximation.