Question

1. If W be a subspace of a finite dimensional vector space V(F), then dim V/W =

(A) dim V – dim W

(B) dim V + dim W

(C) dim V/dim W

(D) none​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If W be a subspace of a finite dimensional vector space V(F), then dim V/W =

(A) dim V – dim W

(B) dim V + dim W

(C) dim V/dim W

(D) none

EVALUATION

We know that if V is a vector space over the field F and W be a subspace of V then

dim V/W = dim V – dim W

FINAL ANSWER

Hence the correct option is

If W be a subspace of a finite dimensional vector space V(F), then dim V/W =

(A) dim V – dim W

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Answer 2

Answer:

Step-by-step explanation: