Find the dimensions of the following vector spaces.

Find the basis and dimension of the subspace. W = {(x,y,z): x,y,z ER and 2x+y+3z = 0) of a real vector space R

which of the following vectors are spaces {[1 0 0 1], [0 1 0 0], [1 1 1 1],[0 1 1 1]}

Find the dimension of the following real vector spaces: (a) V = {A : A is m × n real matrices}. (b) V = {A : A is n × n real upper - triangular matrices}. (c) V = {A : A is n × n real symmetric matrices}

Determine which of the following vectors are equal

Show that R3 is a vector space.