Let T: P3 (IR) → R² is given by Τφ)- (p"(0), p' (0) . (a) Calculate [T]% where a and ß are the standard bases for P3 (IR) and R². (b) Find bases for N (T) and R(T). (c) Compute the nullity and rank for T. (d) Determine if T is one-to-one, or onto.

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A:

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.