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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+dimWdim(UW)dim (U+W) = dim U + dim W – dim (U∩W)
B. let V=R3V=R^3,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 R3R^3
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