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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.

<s-\o (5)

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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 -

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y = 2 mz ^ 1 .

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y - 1 + 2

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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'*-')

(1,-^^ C-\j 4)

n - - n- t "

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- t

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r 15

fG% -17] _' Ln = CI "d d

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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