A transitive relation R CA< is a strict order when it has which of the following properties? (You may choose more than one.) For every X EA, we have Rxx. There do not exists X EA such that we have Rxx. For every X,y EA such that X y, we have Rxy or Ryx. There do not exist X,y EA such that we have both Rxy and Ryx.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A transitive relation R CA is a strict order when it has which of the following properties? (You may choose more than one.)
For
every X EA, we have Rxx.
There do not exists X EA such that we have Rxx.
For every X,y EA such that X#y, we have Rxy or Ryx.
There do not exist X,y EA such that we have both Rxy and Ryx.
Transcribed Image Text:A transitive relation R CA is a strict order when it has which of the following properties? (You may choose more than one.) For every X EA, we have Rxx. There do not exists X EA such that we have Rxx. For every X,y EA such that X#y, we have Rxy or Ryx. There do not exist X,y EA such that we have both Rxy and Ryx.
Let R, SCA and let B CA. which of the following is not a subset of A?
R-, the inverse of R.
(R|S), the relative product of R and S.
O RB, the restriction of R to B.
R[A], the application of R to A.
Transcribed Image Text:Let R, SCA and let B CA. which of the following is not a subset of A? R-, the inverse of R. (R|S), the relative product of R and S. O RB, the restriction of R to B. R[A], the application of R to A.
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