Matrix Calculator
Perform addition, subtraction, multiplication, transpose, determinant, and inverse for 2×2 and 3×3 matrices. Inputs are validated and pre-filled, and results are displayed in a clean, formatted matrix layout.
Matrix Operations Explained
Addition & Subtraction
Cᵢⱼ = Aᵢⱼ ± Bᵢⱼ
Multiplication
Cᵢⱼ = Σ (Aᵢₖ × Bₖⱼ)
Transpose
Aᵀ = swap rows ↔ columns
Determinant 2×2
|A| = ad − bc
Determinant 3×3
|A| = a(ei − fh) − b(di − fg) + c(dh − eg)
Inverse
A matrix is invertible only if det(A) ≠ 0.
Frequently Asked Questions
If det(A) = 0, the matrix is singular and cannot be inverted.
No. In general, A×B ≠ B×A.
Yes, integers, decimals, and negative values are supported.