Manuals/calci/MATRIXSYMMETRIC

MATRIXSYMMETRIC (GeneratedMatrix,About)


  • is any matrix.

Description

  • This function shows the symmetric value of the given matrix.
  • In  ,  is any matrix.
  • A matrix is said to be symmetric if  .
  •   is the transpose of the matrix A.
  • Normally equal matrices have equal dimensions, only square matrices can be symmetric.
  • But using this function we can get the symmetric matrix even non square matrix also.
  • Consider the matrix  .
  • So Symmetric matrix entries are  .
  • The properties of symmetric matrices are:

1. Every square diagonal matrix is symmetric, since all off-diagonal entries are zero. 2. Similarly, each diagonal element of a skew-symmetric matrix must be zero, since each is its own negative. 3. Hermitian matrices are a useful generalization of symmetric matrices for complex matrices.

Examples

1. MATRIXSYMMETRIC([12,16,20;98,76,56;34,54,28])

12 98 20
98 76 56
20 56 28

2. MATRIXSYMMETRIC([[2,17,18,-34,98],[60,3.15,36,23,13],[54,55,3,19,25],[65,45,77,-90,88.8]])

2 60 54 -34 98
60 3.15 55 23 13
54 55 3 19 25
-34 23 19 -90 88.8

Related Videos

Symmetric Matrix

See Also

References