Linear Algebra Exam Problems, Exams of Linear Algebra

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Linear Algebra, Dave Bayer

Name Uni

[ 1 ] Solve the following system of equations.

v

w

x

y

z

v

w

x

y

z

Linear Algebra, Dave Bayer

[ 2 ] Using matrix multiplication, count the number of paths of length ten from x to z.

w x y z

number of paths =

Linear Algebra, Dave Bayer

[ 4 ] Find all 2 × 2 matrices A such that

A

[

]

[

]

A =

 (^) s +

 (^) t

Linear Algebra, Dave Bayer

[ 5 ] Find the intersection of the following two affine subspaces of R

4

w

x

y

z

r

s

t

w

x

y

z

u

w

x

y

z