4. Solve the following. (a) Determine which standard basis vectors can be added to the set S = {(-1,4,3), (1,–4,2)} to produce a basis for R³. (b) Remove one vector from the set S = {(1,0,3), (1,0,0), (2, 0, 6), (2, 1, 8)} so that it forms a basis for R3.

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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.