Assertion: matrix | /r/HasProperty | symmetric
Facets:
value: necessarily
type: DEGREE
value: without finding its transpose
type: MANNER
Source sentences:
text: A further saving is possible when the matrix is symmetric.
text: Furthermore, these products are symmetric matrices.
text: Whenever this happens for any matrix, that is whenever transpose of a matrix is equal to it, the matrix is known as a symmetric matrix.
text: The matrix will be symmetric if the bilinear form B {\displaystyle B} is symmetric.
text: But how can we find whether a matrix is symmetric or not without finding its transpose?
text: If the ties that we were representing in our matrix were "bonded-ties" (for example, ties representing the relation "is a business partner of" or "co-occurrence or co-presence," (e.g. where ties represent a relation like: "serves on the same board of directors as") the matrix would necessarily be symmetric; that is element
text: Since the matrix is symmetric, if I change the position of a row, I must also change the position of the corresponding column.
text: As an example of the type field, RSA denotes that the matrix is real, symmetric, and assembled.