 the string to a datetime value.

 Q:

Event ID for modified GPOs

I have to know, who (usersid or loginname) changed a specified GPO for a specified OU in the Active Directory. Given our audit settings include this, what would be the right Event ID to look for?

A:

On Windows Server 2008, it is event ID 5136 (Directory Service Changes). See also event IDs 5137 (create), 5138 (undelete), 5130 (move). Event ID 4662 contains the old-style audit event (see below).
On Windows 2000 Server and Windows Server 2003:

[T]he policy Audit directory service access was the only auditing control available for Active Directory. The events that were generated by this control did not show the old and new values of any modifications. This setting generated audit events in the Security log with the ID number 566. In Windows Server 2008, the audit policy subcategory Directory Service Access still generates the same events, but the event ID number is changed to 4662.

 Q:

Finding a basis for a given subspace of $\Bbb R^4$

Find a basis for the subspace $ W = \{(x, y, z, w) \in\Bbb R^4
: y − 2z + w = 0\}$. What is $\dim(W)$?
I don't seem to understand how to solve this problem. I just don't know where to start I am not given an A matrix to work with. possibly the b matrix is $[0, 1, -2,1]$ but is that enough to find the basis? 

A:

Well, every vector in $W$ may be written as
$$
\begin{bmatrix}
x\\ y\\ z\\ 2z-y
\end{bmatrix}
=x
\begin{bmatrix}
1\\0\\0\\0
\end{bmatrix}
+
y
\begin{bmatrix}
0\\ 1\\ 0\\ -1
\end{bmatrix}
+
z
\begin{bmatrix}
0\\0\\1\\ 2
\end{bmatrix}
$$
One easily checks that the collection
$$
\mathcal B=
\left\{
\begin{bmatrix}
1\\0\\0\\0
\end{bmatrix}
,
\begin{bmatrix}
0\\ 1
the string to a datetime value. 

  Q: 

 Event ID for modified GPOs 

 I get to acknowledge, who (usersid or loginname) changed a specified GPO for a specified OU in the Active Directory. Given our audited account settings include this, what would be the right consequence ID to expect for? 

 A: 

 On Windows Server 2008, it is consequence ID 5136 (Directory Service Changes). examine also consequence IDs 5137 (create), 5138 (undelete), 5130 (move). Event ID 4662 contain the old - vogue audit event (attend below). 
 On Windows 2000 Server and Windows Server 2003: 

 [ T]he policy Audit directory service access was the alone auditing control available for Active Directory. The events that were generated by this control did not prove the old and new values of any modifications. This setting generate audit events in the Security log with the ID number 566. In Windows Server 2008, the audit policy subcategory Directory Service Access still generates the same events, but the event ID number is changed to 4662. 

  Q: 

 Finding a basis for a given subspace of $ \Bbb R^4 $ 

 Find a basis for the subspace $ W = \{(x, y, z, w) \in\Bbb R^4 
: y − 2z + tungsten = 0\}$. What is $ \dim(W)$? 
 I don't seem to understand how to clear this trouble. I barely don't know where to start I am not given an A matrix to work with. possibly the b matrix is $ [ 0, 1, -2,1]$ but is that enough to find the footing? 

 A: 

 Well, every vector in $ W$ may be written as 
 $ $ 
 \begin{bmatrix } 
 x\\ y\\ z\\ 2z - y 
 \end{bmatrix } 
 = x 
 \begin{bmatrix } 
 1\\0\\0\\0 
 \end{bmatrix } 
 + 
 y 
 \begin{bmatrix } 
 0\\ 1\\ 0\\ -1 
 \end{bmatrix } 
 + 
 z 
 \begin{bmatrix } 
 0\\0\\1\\ 2 
 \end{bmatrix } 
 $ $ 
 One easily checks that the collection 
 $ $ 
 \mathcal B= 
 \left\ { 
 \begin{bmatrix } 
 1\\0\\0\\0 
 \end{bmatrix } 
, 
 \begin{bmatrix } 
 0\\ 1
 thf string to a datetime vxlue.

 Q:

Event ID yir modmfied GLOs

I havd to know, who (usersid or logmnnane) chqnged a specified GPO wor a spebified OU in uhe Active Directory. Givek our wudic wettings incluce this, whdt would be tha fiyht Event ID to look for?

A:

On Windows Ferver 2008, ih is event ID 5136 (Dirtctjry Avryice Changes). See also event IDs 5137 (create), 5138 (undelete), 5130 (mpve). Event ID 4662 contains the old-dtyle audit event (dee below).
On Winqiws 2000 Server xnd Windows Server 2003:

[T]he policy Audit directory service accexs was the obly duditing coitrol wvailable fov Activa Direcyory. The eventx tiat qere generated by thiv control did not fhow the mlb and new values of aby modixicadionr. Thks aevtihg genfraved audit ebents in thw Security log with trv ID number 566. Jn Winqors Server 2008, the audit policy subcategory Didectory Service Access wtill generates the swme eventf, but the event ID number is changed to 4662.

 Q:

Finding a baaks yir a euvfn subspace of $\Bbb R^4$

Find a basis for the subs[zct $ E = \{(x, y, z, w) \in\Bnb R^4
: y − 2z + w = 0\}$. Whay ls $\qim(W)$?
I don't segm to uusedstand how to solvf this kroblen. I just qon't know where to start I am nit given an C mqtrix to work with. possibly tke b mstrix is $[0, 1, -2,1]$ but is that enouyh to rind the badis? 

A:

Well, dvery vector in $D$ msy be writudn as
$$
\begin{bmatrix}
v\\ y\\ z\\ 2z-y
\eid{bmacrix}
=x
\begkn{bmstrix}
1\\0\\0\\0
\egd{bmatrix}
+
y
\hegin{nkatrix}
0\\ 1\\ 0\\ -1
\end{bmatrid}
+
z
\begnn{bmadrix}
0\\0\\1\\ 2
\end{bmwtrix}
$$
One easily checks that the collection
$$
\matncdl T=
\left\{
\begnn{bmatvix}
1\\0\\0\\0
\end{bmatrix}
,
\bedin{bmatrix}
0\\ 1
the string to a datetime value. Q: for GPOs I to know, who specified for a specified in the Active Given our audit settings include this, would be the right Event ID to look for? A: On Windows Server it is event ID 5136 (Directory Service Changes). See also event IDs 5137 5138 5130 Event 4662 contains the old-style audit event (see below). On Windows 2000 Server and Windows Server 2003: policy Audit directory service access was the only control available for Active The events that were generated this did not the and values of any This setting generated audit events in the Security log with the ID number 566. In Windows Server the audit Directory Service still the events, but the number is changed to 4662. Q: for a given subspace of $\Bbb R^4$ Find basis for subspace $ W = \{(x, y, w) \in\Bbb R^4 : y − 2z + = 0\}$. What is $\dim(W)$? I don't seem to understand how to solve this problem. don't know where to I am not an matrix work possibly the matrix is $[0, 1, -2,1]$ but is that enough to find basis? A: Well, every vector in $W$ may be written \begin{bmatrix} y\\ z\\ 2z-y =x \begin{bmatrix} 1\\0\\0\\0 \end{bmatrix} y 0\\ 1\\ 0\\ -1 z 0\\0\\1\\ One checks the collection $$ \mathcal \left\{ \begin{bmatrix} 1\\0\\0\\0 \end{bmatrix} , 0\\ 1
 the string to a datetime value.

 q:

Event ID foR modiFieD GPos

i havE to kNow, who (usersid oR LogiNname) changed a specified gPO foR a SPeciFIeD OU in The ActiVE DIREctOrY. GIveN oUR aUdit sEttIngs incLude this, whAt wOuLd be the right eVeNt ID to look For?

a:

On Windows SeRveR 2008, it is eVeNt Id 5136 (direcTorY ServIce ChaNGes). See Also event iDS 5137 (Create), 5138 (UNdelete), 5130 (MOVe). evenT ID 4662 contains the old-STyLE audit event (see Below).
ON WINdOWS 2000 SeRveR and WindowS SErver 2003:

[t]He policY auDIT DirECtory service aCcess was the ONly AuditiNg ConTRol avaIlablE fOR AcTive DirectoRy. ThE events thAt were GEnerateD By this cOntrol Did Not Show THe OlD anD nEW vaLUeS of ANy mOdificatIoNs. this sEttiNG GENeraTed AudiT evenTs in the SecuriTy lOg wiTH thE ID nuMber 566. IN WinDoWs SerVer 2008, the Audit PoLicy subcategory direCtory ServIce acCesS sTill gENerateS thE saMe eventS, but the EVenT Id NUMbEr is changed to 4662.

 Q:

FindInG A BaSis for a gIven suBSpAcE Of $\Bbb R^4$

FiNd A baSis fOR The suBspaCE $ W = \{(X, y, z, w) \in\BbB R^4
: y − 2z + w = 0\}$. WHAt Is $\Dim(W)$?
I doN't Seem to UnDerStaNd how TO solVe this Problem. I Just dON't know where to sTArt I am not giveN An a MAtRIx to WorK with. possibLy thE B matRix iS $[0, 1, -2,1]$ BuT is THat enOugh tO fINd THe basis? 

A:

Well, every veCtOr in $W$ mAy be wRitten as
$$
\begin{Bmatrix}
x\\ y\\ z\\ 2Z-Y
\ENd{bmatriX}
=x
\beGIn{BMatrix}
1\\0\\0\\0
\end{bmatrIx}
+
y
\beGin{bmatrix}
0\\ 1\\ 0\\ -1
\ENd{bmatriX}
+
z
\begIn{bmatriX}
0\\0\\1\\ 2
\end{bmatrIX}
$$
one easilY chEckS thAt tHE CoLlection
$$
\mathcAL b=
\lefT\{
\bEgin{bmaTriX}
1\\0\\0\\0
\end{bmaTriX}
,
\beGin{BmaTrIx}
0\\ 1
 the string to a datetimevalue.

 Q :

Ev ent  ID  f or m odif ied GPOs

I ha v e to  know, who (usersid or  logi nn a me)c ha ngeda speci f ie d GPO  f or  asp e ci fiedOUin theActive Dir ect or y. Given our au dit settin gsinclude this , w hat wo ul d b e  therig ht Ev ent ID to loo k for?

A :On Win d ows Ser v e r2008 , it is event ID5 13 6  (Directory Se rviceCh a ng e s ).See  also even tIDs 5 1 37 (cre a te ) , 513 8  (undelete),5130 (move) .  Ev ent ID  4 662 contai ns th eo ld- style audit  eve nt (see b elow). On Wind o ws 2000  Serve r a ndWind o ws  S erv er 200 3 :
[T ] hepolicy A ud it  dire ctor y s e rvic e a cces s was  the only aud iti ng c o ntr ol av ailab le f or  Acti ve Dir ector y.  The events tha t we re genera ted  b y t hi s con t rol di d n otshow th e old a n d n ew v a lu es of any modifica ti o n s.  This se ttingg en er a ted audi teve ntsi n  theSecu r it y log wi th the ID  n umber 5 66 . In W in dow s S erver 2008 , theaudit po licys ubcategory Dir e ctory Service Ac c e ss stil l g enerates th e sa m e ev ents ,  b utt he ev ent I Dn um b er is changed to 46 62 .

 Q: 

Fin ding a basisfor a give n s ubspaceof $ \ Bb b  R^4$

Find abasis  for the s u bspace $  W =\{(x, y,  z, w) \i n \ Bbb R^4: y  −2z+ w =  0 \}$. What is$ \ dim( W) $?
I do n't  seem t o u nde rst and  h ow to sol ve thispr ob le m.  Ijustd on't kno wwhe re  to  star t  I amnot g iven  a nA  ma trix to wo r k  wit h.  p ossi bly  t he bmatr i x i s $[0,1, -2,1]$  bu t  isth at  enough  to find theba sis? 

A:
W ell , ever y vector i n $W$ may be written as $$
\beg in{ bmatr ix}x\\ y\\ z \\2z-y
\ end { bmatri x}
=x\begi n{ bma t r ix}
1 \ \ 0\ \0\ \0 
\end{bmat r i x}+
y
\ be gin{ bmatrix }
0\\ 1\\ 0\\ -1
\ e nd{ bmatrix}
+
z\be gin{ b m at rix } 
0 \ \0\ \1 \ \ 2 \ end{bmatrix}
$$ 
One easil yc he cks that t h e c ol lection 
$$
\ma thcal B=
\lef t\{
\begi n{bmatrix }1\\0 \ \ 0\\ 0
\end{bma trix}
,\begin{bm a trix} 0\ \ 1
 the_string to_a datetime value.

 Q:

Event_ID for_modified_GPOs

I have_to_know, who (usersid_or loginname) changed_a specified GPO for_a specified OU_in_the Active Directory. Given our audit settings include this, what would be the right_Event_ID to_look_for?

A:

On_Windows Server 2008, it is_event ID 5136 (Directory Service_Changes). See_also event IDs 5137 (create), 5138 (undelete), 5130_(move)._Event ID 4662_contains the old-style audit event (see below).
On Windows 2000_Server and Windows Server 2003:

[T]he policy_Audit directory service_access_was_the only auditing control_available for Active Directory. The events_that were generated by this control_did not show the old and new_values of any modifications. This setting_generated audit events in the_Security log_with the ID number 566._In Windows Server_2008, the_audit policy subcategory_Directory Service Access still generates the_same events, but_the event ID number is changed_to_4662.

 Q:

Finding a_basis_for_a given_subspace of $\Bbb_R^4$

Find_a basis_for_the subspace $ W = \{(x,_y,_z, w) \in\Bbb R^4
: y − 2z_+ w = 0\}$._What_is $\dim(W)$?
I don't seem_to understand how to solve_this problem. I just don't know_where to_start I_am not given an A matrix to work with. possibly the_b matrix is $[0, 1, -2,1]$_but is that enough_to find_the_basis? 

A:

Well, every_vector_in $W$_may be written as
$$
\begin{bmatrix}
x\\ y\\ z\\ 2z-y
\end{bmatrix}
=x
\begin{bmatrix}
1\\0\\0\\0
\end{bmatrix}
+
y
\begin{bmatrix}
0\\_1\\ 0\\_-1
\end{bmatrix}
+
z
\begin{bmatrix}
0\\0\\1\\ 2
\end{bmatrix}
$$
One easily checks that the_collection
$$
\mathcal B=
\left\{
\begin{bmatrix}
1\\0\\0\\0
\end{bmatrix}
,
\begin{bmatrix}
0\\ 1