Inthispaper,severalusuallyusedpolynomialinterpolationmethodsareexplainedinviewofvectorbasisanddimensioninlinearalgebratheory.Usingtransitionmatrixes,generalconversionformulabetweenthebasisfunctionsetsofthesepolynomialinterpolationmethodsaregiven.Anexamplealsoshowstheeffectivenessoftheresults.