Maths in Action - Advanced Higher Mathematics 3

Part 1 Matrices: basic properties and operations on matrices; algebraic properties of matrices; matrix multiplication; the determinant of a 2x2 matrix; the inverse of a 2x2 matrix; the determinant of a 3x3 matrix; the inverse of a 3x3 matrix; transformation matrices; composition of transformations; review. Part 2 Vectors: reminders and definitions (right- and left-handed systems); direction ratios and direction cosines; the vector product; component form of the vector product; the scalar triple product (component form); the equation of a plane; the angle between two planes; the distance between parallel planes; coplanar vectors; the vector equation of a plane; the equations of a line; the vector equation of a line; the angle between a line and a plane; the intersection of two lines; the intersection of two planes; the distance from a point to a plane; the distance from a point to a line; the intersection of three planes; review.