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Unformatted text preview: METU  NCC LINEAR ALGEBRA
SHORT EXAM 2 Code I MAT 260 Last Name:
AcadYeari 2016201 7 Name 1
Semester iFall Student # : Date 226.12.2016 Signature : Time I 18:40
TOTAL 11 POINTS Duration 340 min 1. (6} 2. (5) 1 ‘ . l ‘ I Ilgmi
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Show your work and justify all your answers! 1. (639) Let P : R3 ——> 1R3 be the skew projection of R3 onto the plane
H= {(rc,y,z) l sv+y+z= 0} parallel to the vector v = (0,0,1). Find the matrix Mg (P) of the projection P relative to
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Pregan :0 :(OOO) METU  NCC LINEAR ALGEBRA
SHORT EXAM 2 Code i MAT 260 Last Name:
AcadYearl 2016201 7 Name 1
Semester 1 Fall Student # :
Date 1 26.12.2016 Signature : . Time 1 18540 Duration 140 mm TOTAL 11 POINTS 1. (a) 2. (a: a l I I
III“. '_.'.. ~— A lawm Show your work and justify all your answers!
1. (639) Let P : R3 —> R3 be the skew projection of R3 onto the plane H={(m,y,z)m+y+z=0} parallel to the vector v = (0,0,1). Find the matrix ME(P) of the projection P relative to
standard basis E. Hg gzolu‘l'lon: a chz is
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0 2. (5p) Find the solution set (general solution) to the nonhomogeneous linear system in R3. 33—y+4z=3
33—2y+7z=4 A 3]~ 5: “l 3 Rz+(*1l21 "4 #4 L: 3
I: 1 Q—_; i"; 3 R3+C~4).lz1 O 3 ‘9 “3
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__._.____~3 O 1 3 "/1 “M3 0 1 “3 __,(
R3 +(+%)XRL O O O O O O O O .=‘t> X+ 2:2 } ng‘a} \.
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 Winter '10
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 Linear Algebra, Algebra, NCC, Short Exam, Standard basis, Semester IFALL Student, skew projection

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