Index A | B | C | D | E | G | H | L | M | N | P | R | S | T | V A Augmented matrix B Back substitution Basis change of basis change of basis matrix orthogonal basis orthonormal basis standard basis Basis vectors C Co-ordinate geometry Co-ordinates Cramer's rule Cross product D Determinants 2 x 2 cofactor minor n x n properties of Dot product E Elementary matrices Elementary row operations Euclidean space G Gauss-Jordan elimination algorithm Gaussian elimination algorithm pivot element row reduction H Homogeneous co-ordinates Homogeneous systems L Linear dependence Linear systems consistent system Linear transformations composite transformations inverse transformation reflection rotation scaling transformation matrices translation Lines intersecting lines parallel lines perpendicular lines skew lines vector equation M Matrix addition adjoint (adjugate) algebra determinant diagonal matrix dimension equality exponents identity matrix inverse inverse properties inverse using adjoint-determinant formula inverse using Gauss-Jordan elimination main diagonal matrix multiplication rank scalar multiplication special matrices square matrix, [1] symmetric matrix transpose zero matrix N Normal vector P Partial pivoting algorithm Planes intersecting planes point-normal form Points R Rank Reduced row echelon form Row echelon form S Shortest distance line to line point to line point to point Spanning set Subspace condition Systems of linear equations consistent systems homogeneous systems inconsistent systems indeterminate systems matrix equation solution using Cramer's rule solution using Gauss-Jordan elimination solution using Gaussian elimination solution using inverse matrix T Tuple V Vector addition arithmetic cross product dot product equality linear combination magnitude normalising position vector scalar multiplication unit vector Vector space dimension Vector spaces axioms subspaces
