Answer with Step-by-step explanation:
We are given that
and
are linearly independent.
By definition of linear independent there exits three scalar and
such that
Where
We have to prove that and
are linearly independent.
Let and
such that
...(1)
..(2)
..(3)
Because and
are linearly independent.
From equation (1) and (3)
...(4)
Adding equation (2) and (4)
From equation (1) and (2)
Hence, and
area linearly independent.