Ive got a question asking;
The set of M2,2 of all 2x2 matrices, with real entries, is a vector space. For what values of A (real) is the set
1 2 1 0
3 7 0 0
2 6 A 0
a linearly independent subset of M2,2?
I have been trying to prove using a1V1+a2v2+a3v3=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.