Suppose B is the matrix of 
with respect to a basis H, and S is the change of basis matrix from a basis G to H. Find the matrix A of T with respect to G. 
Definitions:
Equilibrium Price
The price at which the quantity of a good or service demanded equals the quantity supplied, leading to a balance in the market.
Producer Surplus
The discrepancy between the price at which producers are prepared to offer a good or service and the price they actually obtain.
Demand Shifts
Refers to the change in the quantity demanded of a good or service at any given price, caused by factors other than the price of the good itself.
New Equilibrium
The state reached when market forces realign, resulting in a new balance between supply and demand after a disturbance.
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