Question: (5 marks) Let{ , } { u , v } be a set of linearly independent vectors in 5 R 5 . Given that =

(5 marks)

Let{,}

{

u

,

v

}

be a set of linearly independent vectors in

5

R

5

. Given that

=+

=,

a

=

u

+

v

b

=

u

v

,

prove that the set{,}

{

a

,

b

}

is also linearly independent.

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