Answer to Question #222898 in Linear Algebra for Shaikh

Question

if w is subspace of a vector space V over field F such that dim v=5 and dim w=2 then dim A(w) =

Answer 1

$\text{Since w is a subspace of v, we have that,}\\dim(w)+dim(A(w))=dim(v) \\\text{$dim(w) = 5-2=3$}$