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F17 10 :10 Exam 1 P rob lem 2
Linear Algebra, Dave Bayer
T e s t l
I[Reserved for Score]
testlblp2
[2] Using matrix multiplication, count the number of paths of length five from x to z.
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number of paths = 44
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F17 10 :10 Exam 1 P rob lem 3Linear Algebra, Dave Bayer
T e s t ltestlblp3
[Reserved for Score]
[3] Find the intersection of the following two affine subspaces of
X 1 1 0
y 0 + 1 1
z 1 0 1
X 0 O )—i
y = 1 + 1 0
_ z _ _1_ 1i-Ho
1-1 0 X
- z -
- W" X " ^ 1 ^
y = 2 mz ^ 1 .
X 0 1
y - 1 + 2
z 1 1
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F17 10:10 Exam 1 Problem 4Linear Algebra, Dave Bayer
T e s t l
I III I III IItestlblp4
[4] Find the 2x2 matrix A that reflects across the line 4y = x.
[Reserved for Score]
dr'*-')
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F17 10 :10 Exam 1 Prob lem 5
Linear Algebra, Dave Bayer
T e s t l
11 III III IItestlblpS
[Reserved for Score]
[5] Find a basis for the subspace of spanned by the following vectors:
( 1 , 1 , - 1 , - 1 ) , ( 1 , - 1 , 1 , - 1 ) , ( 1 , - 1 , - 1 , 1 ) , ( - 1 , 1 , 1 , - 1 ) , ( - 1 , 1 , - 1 , 1 ) , ( - 1 , - 1 , 1 , 1 )u . V ( A ; - \ A /
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