Question
Mathematics Question on Vector space
A. Suppose U and W are finite-dimensional subspace of a vector space V, then dim(U+W)=dimU+dimW–dim(U∩W)
B. let V=R3,W = {(a,b,c:a≥0)}, then W is a subspace of V
C. If u =(1,2),v=(3,-5), then u and v are linearly independent
D. (1,1,1) and (1,0,1) form a basis of R3
choose the most appropriate answer from the options given below
A
A, C Only
B
A, D Only
C
B, C Only
D
B, D Only
Answer
A, C Only
Explanation
Solution
The correct option is(A):A, C Only