Example sinx and cosx (linearly independent) 4日10y至，无2000
Example sinx and cos x (linearly independent) e x and e −x (linearly independent) sin 2x and sinx cos x (linearly dependent) x and |x| (linearly independent on the entire real line but linearly dependent on the interval (0,+∞)) Remark The identically zero function f(x) ≡ 0 and any other function g is linearly dependent on every interval
Example sinx and cOSx (linearly independent) er and ex 4日10y至，无2000
Example sinx and cos x (linearly independent) e x and e −x (linearly independent) sin 2x and sinx cos x (linearly dependent) x and |x| (linearly independent on the entire real line but linearly dependent on the interval (0,+∞)) Remark The identically zero function f(x) ≡ 0 and any other function g is linearly dependent on every interval
Example sinx and cosx (linearly independent) e*and ex(linearly independent) 4日10y至，无2000
Example sinx and cos x (linearly independent) e x and e −x (linearly independent) sin 2x and sinx cos x (linearly dependent) x and |x| (linearly independent on the entire real line but linearly dependent on the interval (0,+∞)) Remark The identically zero function f(x) ≡ 0 and any other function g is linearly dependent on every interval
Example sinx and cOSx (linearly independent) e and e*(linearly independent) sin2x and sinxcosx 4日10y至，无2000
Example sinx and cos x (linearly independent) e x and e −x (linearly independent) sin 2x and sinx cos x (linearly dependent) x and |x| (linearly independent on the entire real line but linearly dependent on the interval (0,+∞)) Remark The identically zero function f(x) ≡ 0 and any other function g is linearly dependent on every interval
Example sinx and (linearly independent) e*and ex(linearly independent) sin2x and sinxcosx (linearly dependent) 4日10y至，无2000
Example sinx and cos x (linearly independent) e x and e −x (linearly independent) sin 2x and sinx cos x (linearly dependent) x and |x| (linearly independent on the entire real line but linearly dependent on the interval (0,+∞)) Remark The identically zero function f(x) ≡ 0 and any other function g is linearly dependent on every interval