🔢 Linear Algebra & Matrix Solver
Matrix Calculator
Compute determinants, inverses, transpose, matrix multiplication ($A \times B$), and addition for 2x2 and 3x3 matrices.
Matrix A
Matrix B
Sample Matrices:
Identity Matrix (I)
Sample 2x2 Matrix
Sample 3x3 Matrix
Result: Determinant of Matrix A
det(A) = -2
Linear Algebra Determinant & Inversion Formulas
- 2×2 Determinant: $\det(A) = ad - bc$ for $\begin{pmatrix} a & b \\ c & d \end{pmatrix}$
- 2×2 Inverse: $A^{-1} = \frac{1}{ad - bc} \begin{pmatrix} d & -b \\ -c & a \end{pmatrix}$
- 3×3 Determinant: Expansion by minors: $\det(A) = a(ei - fh) - b(di - fg) + c(dh - eg)$