Hey,

Ive got a question asking;

The set of M_{2,2 }of all 2x2 matrices, with real entries, is a vector space. For what values of A (real) is the set

Z= {(,

1 2 1 0

,

3 7 0 0

}

2 6 A 0

a linearly independent subset of M_{2,2}?

I have been trying to prove using a_{1}V_{1}+a_{2}v_{2}+a_{3}v_{3}=0 but I cant figure how to prove it or put it into a singular matrix form for row reduction... any help would be greatly appreciated.