Matrix Operations Calculator
Perform matrix addition, subtraction, multiplication, transposition, and exponentiation. Supports 2×2 and 3×3 matrices with step-by-step results.
Rows/Cols:
Matrix A
Matrix B
How to Use the Matrix Operations Calculator
- Enter the numbers or values in the input fields.
- The result is calculated and displayed automatically.
- Review the step-by-step solution or detailed breakdown.
- Copy the result or adjust inputs for a new calculation.
Schnellreferenz
| Von | Nach |
|---|---|
| 2 + 3 | 5 |
| 12 × 12 | 144 |
| √144 | 12 |
| 2¹⁰ | 1,024 |
| π | 3.14159 |
| e | 2.71828 |
Anwendungsfälle
- •Checking homework or exam answers quickly and accurately.
- •Verifying manual calculations in professional or academic work.
- •Learning mathematical concepts with instant visual feedback.
- •Performing quick computations during meetings or presentations.
Formel
Matrix addition/subtraction: (A±B)ᵢⱼ = aᵢⱼ ± bᵢⱼ (same dimensions required). Multiplication: (AB)ᵢⱼ = Σ aᵢₖ·bₖⱼ (columns of A must equal rows of B). Transpose: (Aᵀ)ᵢⱼ = aⱼᵢ. Power: Aⁿ = A·A·…·A (n times).
Häufig gestellte Fragen
When can matrices be added or subtracted?
Two matrices can be added or subtracted only if they have the same dimensions. The operation is performed element by element.
When can matrices be multiplied?
Matrix A (m×n) can be multiplied by matrix B (p×q) only if n = p. The result is an m×q matrix.
What is a matrix transpose?
The transpose of a matrix flips it over its diagonal: rows become columns and columns become rows. If A is m×n, then Aᵀ is n×m.