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Quiz
12.2
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Section number:
(1)
[
pts] Completethe sentence: The diagram of sets and functions
X
I
,Y
nl
nl
,"J
"J
S
/
rT
is commutative if
0,"h
=
?.f
(Z)
[6pts]
Let T : IP3
------+
Mi(2,2) be the linear function defined by
r(ar3
+br2
+ cr * d,):
[;l
! ] - ;rl
Find the matrix of ? with respect
to ordered bases B
--
{1+2r,I-2r,12
+13,12
-
2r3\
ofrp3
and,,:
{[l
3]
,
[3
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Unformatted text preview: [3 l] , l? 3l , [3 ?]] "M(2,2) T(r+ez\= . f: -e.-1, fr ol_o l. :,1_rl: ?l (a=r,"=rt l-a -al = ' Lo o I - alo oJ nLto 1 t (r-az) = t i" fl"rnrl: t',-t,-?,'d -t lA t] (d=t,c,-\ | a -a I , 2!' colonnn, ( t,?, Q,-\ T(r"+z\= fr (b=t,e=\ ! ,'J , 3La col0nnn ; (t.,1, l, ,\ T(t"-XA= Fa f-\ -,. ( b-tra'-il ll -11 '' 1= cd.'^^n' Gq'r' t'-A f !- I r:f r= /diij...
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