A Level Maths Notes

A Level Maths Notes: FP4

The Dot Product	The Vector or Cross Product
Direction Cosines	Invariant Points
Linear Independence and Volumes of Parallelpipeds	Properties of Matrix Multiplication
The Image of a Line Under Transformation by a Matrix	Descriptions of Transformations Represented by Matrices in Two Dimensions
Finding Factors in the Determinant of a Matrix	Finding the Line of Intersection of Two Planes
Eigenvalues and Eigenvectors	Linear Independence and Systems of Equations
Proving that Vectors are Coplanar	Rotation Matrices in Three Dimensions
Finding the Inverse of a 3 by 3 Matrix	Powers of Matrices
The Angle Between Two Planes