Free Matrix Properties Calculator - Given a matrix |A|, this calculates the following items if they exist:

* Determinant = det(A)

* Inverse = A^{-1}

* Transpose = A^{T}

* Adjoint = adj(A)

* Eigen equation (characteristic polynomial) = det|λI - A|

* Trace = tr(A)

* Gauss-Jordan Elimination using Row Echelon and Reduced Row Echelon Form

* Dimensions of |A| m x n

* Order of a matrix

* Euclidean Norm ||A||

* Magic Sum if it exists

* Determines if |A| is an Exchange Matrix

This calculator has 1 input.

* Determinant = det(A)

* Inverse = A

* Transpose = A

* Adjoint = adj(A)

* Eigen equation (characteristic polynomial) = det|λI - A|

* Trace = tr(A)

* Gauss-Jordan Elimination using Row Echelon and Reduced Row Echelon Form

* Dimensions of |A| m x n

* Order of a matrix

* Euclidean Norm ||A||

* Magic Sum if it exists

* Determines if |A| is an Exchange Matrix

This calculator has 1 input.

Order of a matrix = m x n

Magic Sum = n(n^{2} + 1)/2

For more math formulas, check out our Formula Dossier

Magic Sum = n(n

For more math formulas, check out our Formula Dossier

- adjoint
- the transpose of a cofactor matrix
- determinant
- value computed from a square matrix

det(A) or |A| - dimension
- the number of rows by the number of columns for a matrix
- echelon
- eigen
- inverse
- opposite or contrary in position
- matrix
- a rectangular array of numbers or symbols which are generally arranged in rows and columns
- matrix properties
- norm
- a vector space whose elements (vectors) are matrices (of given dimensions).
- polynomial
- an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
- transpose
- an operator which flips a matrix over its diagonal. It switches the rows and columns indices of the matrix