# postmultiplication

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## postmultiplication

[‚pōst·məl·tə·plə′kā·shən]
(mathematics)
In multiplying a matrix or operatorBby another matrix or operatorA, the operation that results in the matrix or operatorBA. Also known as multiplication on the right.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Then, pre- and postmultiply (32) by [J.sub.2] and [J.sup.T.sub.2], respectively, where [J.sub.2] = diag{[mathematical expression not reproducible]} and define new variables:
Premultiply diag{F', F', I, I, I} and postmultiply diag{F, F, I, I, I} with (34), and let
Premultiply and postmultiply (53) by the matrices [[bar.P].sup.-1] and [[[[bar.P].sup.-1]].sup.T].
Premultiply by Uand postmultiply by [U.sup.[theta]], we have U[U.sup.[theta]]A[A.sup.[theta]]U[U.sup.[theta]] = U[U.sup.[theta]] [A.sup.[theta]] AU[U.sup.[theta]].
To show how such a permutation task can be accomplished, we first postmultiply the matrix f([A.sub.0], [A.sub.+]) by [P.sub.0] to reverse the order of its columns and then use [P.sub.1] to permute the rows of f ([A.sub.0], [A.sub.+]) [P.sub.0] into a triangular form by swapping the first and fourth rows.
Should students be allowed to point the mouse at a regression icon, or should they be forced to type out the commands to postmultiply matrix X by its transpose, take the inverse of this product, then multiply by X-transpose Y?
Let X = [P.sup.-1]; we premultiply and postmultiply (34) by diag{X, X, X, 1, 1, 1, 1} and its transpose, and after some proper elementary transformation, we can get
Next, we pre- and postmultiply the above equation with diag(Q I) and its transpose where Q = [P.sup.-1] and use the Schur complement to make the inequality amenable to solution.
Postmultiply by the projection identity [I.sub.j] [bar.[iota]][iota]' + [bar.[[iota]].sub.[perpendicular to]] [[iota]'.sub.[perpendicular to]] to get
Now premultiply and postmultiply Equation (25) with [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and [[gamma].sup.T], and define new variables as

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