- #1

transgalactic

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v1=(1,1,0,1)

v2=(0,-4,2,0)

v3=(0,0,-18,0)

u1=(1,1,0,1)

u2=(-1,0,1,0)

in the row reduction process v1 v2 v3 u1 are left independent

i need to find the orthogonal base of u+v?

in the solution i was told that because v1 v2 v3 u1 are independent

then the orthogonal base of u+v the standard base of is

(1,0,0,0)

(0,1,0,0)

(0,0,1,0)

(0,0,0,1)

but why take the standart base

the vectors v1 v2 v3 u1 are independent they can act as a base

??