Sol - Math TAMU
... Sol. Let V denote the set of vectors of the above form. By rewriting [a, b, 0, c, a − 2b + c] = a[1, 0, 0, 0, 1] + b[0, 1, 0, 0, −2] + c[0, 0, 0, 1, 1], (1 pt. so far) we see that V is the set of linear combinations of three vectors [1, 0, 0, 0, 1], [0, 1, 0, 0, −2] and [0, 0, 0, 1, 1]. That is V = ...
... Sol. Let V denote the set of vectors of the above form. By rewriting [a, b, 0, c, a − 2b + c] = a[1, 0, 0, 0, 1] + b[0, 1, 0, 0, −2] + c[0, 0, 0, 1, 1], (1 pt. so far) we see that V is the set of linear combinations of three vectors [1, 0, 0, 0, 1], [0, 1, 0, 0, −2] and [0, 0, 0, 1, 1]. That is V = ...
