A Skew Symmetric Matrix or Anti-Symmetric Matrix is a square matrix whose transpose is negative to that of the original matrix. If the entry in the ith row and jth column of a matrix is a[i][j], i.e. if A = (a[i][j]) then the skew symmetric condition is -A = -a[j][i].
Input : matrix: 0 5 -4 -5 0 1 4 -1 0 Output: Transpose matrix: 0 -5 4 5 0 1 -4 1 0 Skew Symmetric matrix
- Find the transpose of the input matrix.
- If the input matrix is equal to the negative of its transpose matrix, then the matrix is Skew Symmetrical.
Transpose matrix: 0 -5 4 5 0 -1 -4 1 0 Skew Symmetric Matrix
References : Wikipedia
This article is contributed by Akash Gupta. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to email@example.com. See your article appearing on the GeeksforGeeks main page and help other Geeks.
Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.
Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.
- A square matrix as sum of symmetric and skew-symmetric matrices
- Program to check if a matrix is symmetric
- Minimum flip required to make Binary Matrix symmetric
- Find a Symmetric matrix of order N that contain integers from 0 to N-1 and main diagonal should contain only 0's
- Check whether a Matrix is a Latin Square or not
- Check whether the given Matrix is balanced or not
- Check whether a given matrix is orthogonal or not
- Program to check if a matrix is Binary matrix or not
- Check if it is possible to make the given matrix increasing matrix or not
- Check whether Bishop can take down Pawn or not
- Check whether row or column swaps produce maximum size binary sub-matrix with all 1s
- Program to check if matrix is singular or not
- Program to check diagonal matrix and scalar matrix
- Check if a given matrix is sparse or not
- Check given matrix is magic square or not
- Check if a given matrix is Hankel or not
- Check if row-major order path of Matrix is palindrome or not
- Check if Matrix sum is prime or not
- Check if a Matrix is Bitonic or not
- Check if a Matrix is Reverse Bitonic or Not
Improved By : vt_m