# How do I define symmetry

2
by mocha

2014-07-28T13:48:25+05:30
A proper proportion between parts, possession of corresponding parts that are exactly alike

It is actually the same as invariance: the property that something does not change under a set of transformations.

In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Formally, matrix A is symmetric if A=A(TRANSPOSE)
FOR EXAMPLE :
C1  C2  C3
VALUE IN MARTIX A    1    7    3    ---- >ROW A
7    4    5
---- >ROW B
3    5    6
---- >ROW C

U CAN C ROW A IS SIMILAR TO COLUMN (C1)
U CAN C ROW B IS SIMILAR TO COLUMN (C2)
U CAN C ROW C IS SIMILAR TO COLUMN (C3)

It is actually the same as invariance: the property that something does not change under a set of transformations.
In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Formally, matrix A is symmetric if A =A (TRANSPOSE)
2014-07-28T13:49:57+05:30
Symmetry is an alternative to a matter's size,shape etc. given in a same proportion .
The design on the butterfliy's wings are example for Symmetry