determine whether the given set of vectors generate the vect

determine whether the given set of vectors generate the vector space dice.

Determine whether the given set of vectors generate the vector space dice. En R^2: (1 1), (2 2), (5 5)

Solution

Since (2,2)^T and (5,5)^T can be written as 2(1,1)^T and 5(1,1)^T so these two vectors are dependent on (1,1)^T

Hence the set of given three ectors is not linearly independent

So the given set of vectors can not generate the vector space dice