Linear Algebra..Consider the subspaces Si and S2 of R3 defined by the equations…


1. Deduce the subspaces Si and S2 of R3 defined by the equations 4; + x2 — 8x3 = 0 and — 8x2 + x3 = 0 . (a) The vector (1, 1, 4) belongs to one of the subspaces. Which one is it? Justify your exculpation. (b) State a. premise for the subspace you identified in (a) and state the coordinates of (1, 1, 4) referring-to to this premise. (c) What is the bulk of this subspace? (d) Now deduce the set of all vectors in R3 which belong to twain Si and S2. State a. vector equation that describes this set and grant a geometric denomination of it.