Big Chemical Encyclopedia

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

Articles Figures Tables About

Further Properties of Matrices

A few hints on how to manipulate indices in matrix elements. It is most important to recognize that any index that is summed over is a dummy index. The result is independent of what we call it. Thus, [Pg.163]

Second, it is advisable to use different indices when a product of summations [Pg.163]

This becomes mandatory if we reexpress it as a double summation [Pg.163]

Multiplication of a matrix A by a constant c is equivalent to multiplying each aij by c. Two matrices of the same dimension can be added element by element. By combination of these two operations, the matrix elements of C = A i A -h A 2 B are given by c/y = k aij + k2bij. [Pg.163]

A diagonal matrix has only nonvanishing elements along the main diagonal, for example [Pg.164]


See other pages where Further Properties of Matrices is mentioned: [Pg.163]    [Pg.163]    [Pg.210]    [Pg.210]   


SEARCH



Matrix properties

Properties of Matrices

Some further properties of density matrices

© 2024 chempedia.info