A competitive matrix is a tool that maps a company's strengths against competitors to illustrate competitive positioning in the market. It shows strengths on axes with the company and competitors plotted based on an evaluation of where they fall on the various strength scales. The document outlines the purpose and steps to build a competitive matrix, including selecting key strengths relevant to the target market, identifying the strongest strength pairing, expressing each strength on a scale, selecting competitors, and fairly evaluating and plotting the competitors. The goal is to position the company favorably while still being believable and fair in the assessment.