Write down the reduced incidence matrix A* for the pictured structure with 4 bars and 2 fixed supports. The width and the height of the vertical sides is I unit, while the top node is 1.5 units above the base.

(a) Predict the number of independent solutions to A* u = 0, and then solve to describe them both numerically and geometrically.
(b) What condition(s) must be imposed on the external forces to maintain equilibrium in the structure?
(c) Add in just enough additional bars so that the resulting reinforced structure has only the trivial solution to A*u = 0. Is your reinforced structure stable?

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アア T