OAD .Q7 please provide justified solutions as soon as possible to get upvote..please do complete work with explanation thanks

7. Find a basis for and the dimension of the subspace generated by the solution space of the homogeneous linear system * -2x2 + x, =0 X2 - X; + x, =0 . (This is called the nullspace or kernel of a matrix) * - X2 + X, =0 Hint: Use Row Reduce to solve the system of equations in the usual way and render the solution in vector form (from the lesson on theory of linear systems). Verify your results if you want by using Mathematica's NullSpace[A] where A is the coefficient matrix above. We will formally define this in class later