Skew Symmetric Matrix Calculator Online


Skew Symmetric Matrix Description


When expressed between square brackets, a rectangular array of functions or numbers is said to be organised into a matrix. The elements or entries are the values or expressions that are present in each row and column. A matrix's size or dimension is expressed as the sum of its rows times its columns.

What is Skew Symmetric Matrix?

Only if a matrix is square can it be skew symmetric. A matrix is described as skew symmetric if the transpose of the matrix equals the negative of the matrix. Thus, a matrix must be skew symmetric if AT=-A.
Furthermore, aji = -aij for the matrix (for all of the values of i & j). In a skew symmetric matrix, the diagonal entries are equal to zero.

Properties of Skew Symmetric Matrix:

  • When two skew-symmetric matrices are added together, a skew-symmetric matrix is produced.
  • A skew-symmetric matrix also exists as the scalar product of a skew-symmetric matrix.
  • Since the diagonal of a skew symmetric matrix has zero entries, the sum of the diagonal elements is also zero.
  • When the identity matrix is combined with the skew symmetric matrix, an invertible matrix results.
  • The skew symmetric matrix has a non-negative determinant.

How to use check Skew Symmetric Matrix Calculator?

  • Firstly, you need to enter the dimension of the matrix. Enter number of rows in "Rows" input field and Enter number of columns in "Columns" input field.
  • Then press the button "Set Matrix".
  • An empty matrix will appear below and then you can enter your values inside the matrix.
  • After entering all the values press "Solve" button, the result will automatically appear below which check whether the matrix is Skew Symmetric Matrix or not.

Skew Symmetric Matrix Example Image:

Skew Symmetric Matrix example


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