Linear Algebra - Analyzing vector is linearly independent

1.  Analyzing the number of vectors required is equal to the dimension of the vector.

　　Example: a1 = [1 1 1]; a2 = [1 0 0]; a3 = [0 1 0]; determining whether the three linearly independent vectors.

a1 = [1, 1, 1];
a2 = [1, 0, 0];
a3 = [0, 1, 0];
A = [a1, a2, a3];
the (A)