Knowen - History & comments

Featured nodes

Related nodes

Particular types of matrices
Definition of trace of a matrix
Cofactors
Determinants and operations on matrices
Determinants axiomatically
The determinant of a matrix measures the area/volume of the parallelogram/parallelipiped determined by its columns.
The determinant of the matrix of a linear transformation is the factor by which the area/volume changes.
Definition of adjugate/classical adjoint of a matrix
A matrix is called ill-conditioned if it is nearly singular
The condition number of matrix measures how close it is to being singular

Definition of determinant of a matrix as a product of the diagonal entries in a non-scaled echelon form.
The determinant of a matrix can be expressed as a product of the diagonal entries in a non-scaled echelon form.
Definition of the determinant in terms of the effect of elementary row operations
The permutation expansion for determinants
A matrix and its transpose have the same determinant.
If A and B are n-by-n matrices
The determinant of the inverse of A is the reciprocal of the determinant of A.
The determinant of a block diagonal matrix is the product of the determinants of the blocks.

Description:

Sign in to add a new comment