square matrix

here i tried to describe simply on matrix

1. SQUARE MATRIX

2. Hello! I am Sanjana Jahan 163-15-8443

3. W hat is square matrix?

4. In mathematics, a  square matrix  is a matrix with the same number of rows and columns. An  n -by- n  matrix is known as a square matrix of order  n . Any two square matrices of the same order can be added and multiplied.

5. C lassification of square matrix

6. S pecial square matrix

7. S ymmetric matrix

8. S kew symmetric matrix

9. T rue facts :   M +   M T is symmetric matrix M - M T is skew-symmetric matrix. M CAN be uniquely expressed as the sum of a symmetric matrix and a skew-symmetric matrix.

10. Decomposition of a square matrix into symmetric and skew symmetric matrices Let Cn×n be a square matrix. We can write C = (1/2)(C + C t ) + (1/2)(C − C t ) = A + B, where At = A is symmetric and Bt = −B is skew-symmetric.

11. Thanks! Any questions?