Current location - Plastic Surgery and Aesthetics Network - Wedding planning company - I don't understand the concept that any N+ 1 vector in n-dimensional vector space must be linearly related. Can someone explain it to me?
I don't understand the concept that any N+ 1 vector in n-dimensional vector space must be linearly related. Can someone explain it to me?
Give the simplest example:

x 1+x2+x3+x4=0

2*x 1+3x2=0

How many solutions do you think this equation group has? The answer is countless.

Any n+ 1 vectors in the N-dimensional vector space must be linearly related, that is to say, one of these N+ 1 vectors can definitely be linearly represented by the rest.

Such as two-dimensional vector [1, 0] [0, 1] [1, 3] These are three two-dimensional vectors: [1, 3] = [1, 0]+3 [0,/kloc-.