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# IMG_0012 - [3 l l 3l[3"M(2,2 T(r ez\= f-e-1 fr ol_o...

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309 Quiz 12.2 Name: 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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