How does the Matrix Properties Calculator work?
Free Matrix Properties Calculator - Given a matrix |A|, this calculates the following items if they exist:
* Determinant = det(A)
* Inverse = A-1
* Transpose = AT
* 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-1
* Transpose = AT
* 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.
Common Core State Standards In This Lesson
HSN.VM.C.10, HSN.VM.C.11, HSA.REI.C.8, HSA.REI.C.9
What 2 formulas are used for the Matrix Properties Calculator?
Order of a matrix = m x n
Magic Sum = n(n2 + 1)/2
Magic Sum = n(n2 + 1)/2
What 11 concepts are covered in the Matrix Properties Calculator?
- 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
Matrix Properties Calculator Video
