Let T:R3 ->R3 be a linear transformation and suppose that T((1,0,-1))=(1,-1,3) and T((2,-1,0))=(0,2,1). Write the pseudocode to find out if T((a,b,c,d)) where (a,b,c) E R3 is arbitrary can be found from the given data and if the value is unique? Justify your computations first before writing pseudo code.

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A potential method of analysis

The complexity of the algorithm model emphasizes the potential method. This method is useful for examining a data structure's amortized time and space complexity.