
Types of matricesPage Navigation:
Definition. A square matrix is a matrix in which the number of rows equals the number of columns (size n×n), the number n, is called the order of the matrix.Example.
Definition. The zero matrix is a matrix whose entries are equal to zero, ie, a_{ij} = 0, ∀i, j.Example.
Definition. Row vector is a matrix consisting of a one row.Example.
Definition. Column vector is a matrix consisting of a one column.Example.
Definition. Diagonal matrix is a square matrix whose entries standing outside the main diagonal are equal zero.Example of diagonal matrix.
Definition. Identity matrix is a diagonal matrix in which all the elements on the main diagonal are equal to 1.Denote. The identity matrix usually denoted by I.Example of identity matrix.
Definition. Upper triangular matrix is a matrix whose elements below the main diagonal are equal to zero.Example of upper triangular matrix.
Definition. Lower triangular matrix is a matrix whose elements above the main diagonal are equal to zero.Example of lower triangular matrix.
N.B. The diagonal matrix is a matrix that is both upper triangular and lower triangular. Definition. Specifically, a matrix is in row echelon form if:
Examples of row echelon form of matrix.
MatrixMatrix Definition. Main informationSystem of linear equations  matrix formTypes of matricesMatrix scalar multiplicationAddition and subtraction of matricesMatrix multiplicationTranspose matrixElementary matrix operationsDeterminant of a matrixMinors and cofactors of a matrixInverse matrixLinearly dependent and independent rowsRank of a matrix Add the comment 