Skew Symmetric Matrix Calculator Online

Explanation:

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 A^T=-A.
Furthermore, a_ji = -a_ij 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: