MATHEMATIC
Lin_Algebra_Short_Exam2b_Spring_2015.pdf

Lin_Algebra_Short_Exam2b_Spring_2015.pdf - METU NCC LINEAR...

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Unformatted text preview: ' METU — NCC LINEAR ALGEBRA SHORT EXAM 2 Code rMAT 260 Last Name: AcadYeari 2014-2015 Name ‘ Semester 3 SPRING Student # : Date 3 18.05.2015 Signature : Time _ = 12:30. . _ 2 QUESTIONS ON 2 PAGES Duration 340 mm ' ‘ TOTAL'SO POINTS ' ' ' 1.{10pt3) Let T: R4 —-> R4, T(3:,y,z,w) = (a: — y + z — w,—y + 18,2 -— 16,—7.6) be a. linear transformation. Diagonalize if it is possible. 0 \r‘ L00 0" __ 1.31; -l \‘1 \’t ‘4‘ — o “H D'l gv—(Ht) o -tto :1 [—i 4 (O 0 ‘Pt SO (TEA new} Magomgitabgé 2.(20pts} Let T : R3 —> R3, T(:c,y, z) =. (—m + 4y + 32, —2:r + 5y + 32,239 — 4y — 22) be a linear transformation. Determine whether T is diagonalizable or not. If yes find the related basis. A Aim Méjam AAA/AAA): f'l’t LI 3 RfRL _ :' "2» Sni3>\\___ t: 35:: \.—_-~_ 1, “Ii—H " 2 ,L' ,1- t: (+3") ”\ ‘ 0 t4 ‘ 0 O ’L *1: 511.3) fig ) «L 5,13 :("L*I>(~'D ['l-‘t): Z *‘1'H .‘L 14-731 ' <9 1,. L ,_,_ 0 t " (‘9 ...
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