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## Main Question or Discussion Point

I came accross a problem in linear algebra asking me to find for which values of s the following set:

R={(x,y,z,w) belongs to R^4; x+y+sz-w=s^2-2s}

is a subspace of R^4 with respect to the usual additoin and scalar multiplication. Any idea to solve this question?

Thanks in advance

R={(x,y,z,w) belongs to R^4; x+y+sz-w=s^2-2s}

is a subspace of R^4 with respect to the usual additoin and scalar multiplication. Any idea to solve this question?

Thanks in advance