Big Chemical Encyclopedia

Chemical substances, components, reactions, process design ...

Articles Figures Tables About

Existence and Uniqueness of Solutions for Ax

Assume that A is an n x n square matrix. Then the following statements can be made  [Pg.69]

Admits the unique trivial solution x = 0 if and only if rank(A) = n [Pg.69]

Admits an (n - r)-parameter family of nontrivial solutions, in addition to the trivial solution, if and only if rank(A) = r n [Pg.69]

Stated more succinctly, if A is of full rank and b is independent of any columns of A, then a unique solution exists otherwise, either no solution exists or an infinite number of solutions exist. [Pg.69]

MMULT is the only function that operates on both matrices and vectors. This function requires the two arrays to be conformable. [Pg.69]


See other pages where Existence and Uniqueness of Solutions for Ax is mentioned: [Pg.69]   


SEARCH



Existence and Uniqueness

Existence and Uniqueness of Solutions

UniQuant

Unique

Unique solution

Uniqueness

Uniqueness of solutions

© 2024 chempedia.info