Vectors and matrices
Vectors in the plane137 problems · 9 skills
Components and addition 11Dot product 17Length of a vector combination 18🔒Linear combinations and collinear points 18🔒Minimising dot products 15🔒Parallel vectors 12🔒Perpendicular vectors 18🔒Projections 14🔒Vectors and triangle centres 14🔒
Lines, planes and vectors in space93 problems · 6 skills
Angles between vectors and planes 18Coplanarity and triple products 18🔒Cross products and unit vectors 15🔒Distance to a plane 17🔒Lines and planes 17🔒Lines and planes: true or false 8🔒
Matrices69 problems · 5 skills
Inverses and singular matrices 17Matrix equations 18🔒Matrix powers and polynomials 17🔒Orders of matrices 12🔒Orthogonal matrices 5🔒
Determinants58 problems · 4 skills
Cofactor expansion 12Determinant equations 18🔒Determinant properties 18🔒Minors and cofactors 10🔒
Rank, eigenvalues and linear maps48 problems · 4 skills
Coordinates in a basis 6Eigenvalues 17🔒Norms 8🔒Rank and nullity 17🔒