Question

Help me please, how can I prove that the vectors u + v and v - u being Linear independent implies that u and v are linear independentsss

Answer 1

since u-v and v-u are l.i. so we can write linear combination with using scalar where scalar are zero .now take u and v together it will give ans

Answer 2

Diante get it.

Answer 3

Did not get it

Answer 4

make their l.c. arrange same vectors uwill get the ans