Various Types of Matrices


Regular matrix
Given a square matrix , if a matrix satisfying exists, is denominated as a regular matrix, and its inverse matrix.

determinant resulting from the elements of

Matrix of cofactors
Consider that the matrix

is regular. we have

The matrix

is the denominated matrix of cofactors of .

Transposed matrix
The matrix obtained by exchanging the rows with the columns of matrix

is called a transposed matrix and is represented by:

The matrix obtained by replacing all elements of by their complex conjugates is denoted and is represented as .

Properties









Others
is a symmetric matrix
is an alternate matrix
is a Hermitian matrix
is a Hermitian alternate matrix
is an orthogonal matrix
is a unitary matrix
is a normal matrix

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