Determinants and matrix applications

Connect determinants to geometry and practical matrix models. This precalculus extension set develops coordinate triangle area, collinearity, orientation and area scale factors alongside resource and revenue calculations. Single-select and multiselect tasks ask you to interpret quantities and units as well as compute. Worked explanations distinguish signed determinants from geometric area and check that each matrix product represents the intended real-world quantity. Begin with coordinate geometry and basic matrix operations; calculus and three-dimensional geometry are not needed.