Given the vector group A: A 1, A2, ..., AM, if some numbers are not all zero, K 1, K2, ..., km, let.

k 1 a 1+k2 a2+km am = 0

Then the vector group A is said to be linearly related, otherwise it is said to be linearly independent.

If a vector group is linearly independent, the new vector group obtained by adding and subtracting a component at the same position is still linearly independent. Note: It must be in the same location.