Math Solvers/Algebra & Calculus/matrix-operations

Matrix Operations & Determinant / Inverse Solver

Comprehensive matrix algebra tool providing cofactor determinants, adjugate inversion, diagonal trace, and transpose reflections.

Matrix Elements (A)

Determinant |A|

10.0000

Non-singular (Invertible)

Matrix Trace tr(A)

10.0000

Sum of main diagonal elements

Inverse Matrix (A⁻¹)

Matrix Analysis Steps

1. 2×2 Determinant Calculation

Determinant value is 10.0000. Trace (sum of diagonal elements) is 10.0000.

2. Matrix Transpose (A^T)

Rows and columns are reflected along the main diagonal.

3. Matrix Inverse (A⁻¹)

Multiplication with inverse yields the identity matrix I.

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Mathematical Formulation

Standard analytical and numerical formulations derived from classical algebra, linear algebra, and calculus principles.