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(Solved): Ex2 (Subspaces, Vector spaces) Determine whether each of the following is a subspace of the indicate ...
Ex2 (Subspaces, Vector spaces)
Determine whether each of the following is a
subspace of the indicated vector space.
{(x,y,z)in R^(3)|xyz=0};R^(3).
{(x,y,z,w)in R^(4)|xy=zw};R^(4).
{[[a,b],[c,d]]in M_(22)(R)|ad=0};M_(22)(R).
{f in F(R)|A AxinR,f^('')(x)+f(x)=0};F(R).