Assertion: matrix | /r/HasAspect | square roots
Facets:
Source sentences:
text: For example, the matrix ( 33 24 48 57 ) {\textstyle \left({\begin{smallmatrix}33&24\\48&57\end{smallmatrix}}\right)} has square roots ( 1 4 8 5 ) {\textstyle \left({\begin{smallmatrix}1&4\\8&5\end{smallmatrix}}\right)} and ( 5 2 4 7 ) {\textstyle \left({\begin{smallmatrix}5&2\\4&7\end{smallmatrix}}\right)} , as well as their additive inverses.
text: Some matrices have no square root.
text: A 2×2 matrix with two distinct nonzero eigenvalues has four square roots.
text: In general, a matrix can have several square roots.
text: Convergence is not guaranteed, even for matrices that do have square roots, but if the process converges, the matrix Y