a+c\ The linear transformation T:P₂→R³ is defined by T(a+bt+ct²) = b Verify the rank nullity theorem for T. Find matrix associated to T with respect to the standard basis of P, as {1,t,t²} and the standard basis of R³ as 2

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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.