a) Which of the following are subspaces of R³ ? Justify your answer.

i) { }

ii) { }

For those subsets which are subspaces, find a basis.

b) Check that

a) Check whether the matrices

a) Consider the following system of equations:

Which of the following are binary operations on ? Justify your answer.

i) The operation ▽ defined by

Let

a) Let

Find the vector equation of the plane determined by the points (1, 0,−1), (0, 1, 1) and (−1, 1, 0). Also find the point of intersection of the line