LinearAlgebra.md (3939B)
1 # Linear Algebra 2 3 Linear algebra related links. 4 5 The basis of linear algebra is solving systems of equations. 6 7 ## Links 8 9 Linear Algebra Done Right: 10 11 Chapter 1: 12 13 - [Vector Space](VectorSpace.md) 14 - [Tuple](Tuple.md) 15 - [Complex Vector Space](ComplexVectorSpace.md) 16 - [Subspace](Subspace.md) 17 - [RealVectorSpace.md](RealVectorSpace.md) 18 - [Coordinate](Coordinate.md) 19 - [Sum Of Vector Spaces](SumOfVectorSpaces.md) 20 - [Direct Sum](DirectSum.md) 21 22 Chapter 2: 23 24 - [Linear Combination](LinearCombination.md) 25 - [Span](Span.md) 26 - [Finite Dimensional](FiniteDimensional.md) 27 - [Linear Independence](LinearIndependence.md) 28 - [Basis Of Subspace](BasisOfSubspace.md) 29 - [Standard Basis](StandardBasis.md) 30 - [Dimensions](Dimensions.md) 31 32 Chapter 3: 33 34 - [Linear Maps](LinearMaps.md) 35 - [Null Space](NullSpace.md) 36 - [Range](Range.md) 37 - [Invertible](Invertible.md) 38 - [Isomorphic](Isomorphic.md) 39 40 Gilbert Strang Lectures: 41 42 Lecture 2: 43 44 - [Gaussian Elimination](GaussianElimination.md) 45 - [Permutation Matrix](PermutationMatrix.md) 46 - [Inverse Matrix](InverseMatrix.md) 47 48 Lecture 3: 49 50 - [Matrix Multiplication](MatrixMultiplication.md) 51 - [Singular](Singular.md) 52 - [Invertible](Invertible.md) 53 - [Inverse Matrix](InverseMatrix.md) 54 - [Determinant](Determinant.md) 55 - [Gaussian Elimination](GaussianElimination.md) 56 57 Lecture 4: 58 59 - [Transpose](Transpose.md) 60 - [Inverse Matrix](InverseMatrix.md) 61 - [LUDecomposition](LUDecomposition.md) 62 - [Permutation Matrix](PermutationMatrix.md) 63 64 Lecture 5: 65 66 - Not started. 67 68 Khan Academy: 69 70 Khan Unit 1 (mostly): 71 72 - [Matrix](Matrix.md) 73 - [Linear Equations](LinearEquations.md) 74 - [Systems Of Equations](SystemsOfEquations.md) 75 - [Linear Combination](LinearCombination.md) 76 - [Column Space](ColumnSpace.md) 77 - [Distance Calculation](DistanceCalculation.md) 78 - [Dot Product](DotProduct.md) 79 - [Vector Matrix Multipication](VectorMatrixMultipication.md) 80 - [Invertible](Invertible.md) 81 - [Unit Vector](UnitVector.md) 82 - [Span](Span.md) 83 - [Linear Independence](LinearIndependence.md) 84 - [Linear Subspace](LinearSubspace.md) 85 - [Closure](Closure.md) 86 - [Basis Of Subspace](BasisOfSubspace.md) 87 - [Angle Between Vectors](AngleBetweenVectors.md) 88 - [Law Of Cosines](LawOfCosines.md) 89 - [Equation Of APlane](EquationOfAPlane.md) 90 - [Cross Product](CrossProduct.md) 91 - [Arcsin](Arcsin.md) 92 - [Arccos](Arccos.md) 93 - [Triple Product Expansion](TripleProductExpansion.md) 94 - [Normal Vector](NormalVector.md) 95 - [Distance To Plane](DistanceToPlane.md) 96 - [Plane To Plane Distance](PlaneToPlaneDistance.md) 97 - [Reduced Row Echelon Form](ReducedRowEchelonForm.md) 98 - [Transpose](Transpose.md) 99 - [Null Space](NullSpace.md) 100 - [Nullity](Nullity.md) 101 - [Rank](Rank.md) 102 103 Khan Unit 2: 104 105 - [Codomain](Codomain.md) 106 - [Range](Range.md) 107 - [Transformations](Transformations.md) 108 - [Linear Transformation](LinearTransformation.md) 109 - [Identity Matrix](IdentityMatrix.md) 110 - [Image](Image.md) 111 - [Preimage](Preimage.md) 112 - [Kernel](Kernel.md) 113 - [Diagonal Matrices](DiagonalMatrices.md) 114 - [Rotation](Rotation.md) 115 - [Standard Matrix](StandardMatrix.md) 116 - [Unit Vector](UnitVector.md) 117 - [Projection](Projection.md) 118 - [Matrix Multiplication](MatrixMultiplication.md) 119 - [Inverse Transformation](InverseTransformation.md) 120 - [Surjective](Surjective.md) 121 - [Injective](Injective.md) 122 - [Bijective](Bijective.md) 123 - [Homogeneous](Homogeneous.md) 124 - [Inhomogeneous](Inhomogeneous.md) 125 - [Determinant](Determinant.md) 126 - [Rule Of Sarrus](RuleOfSarrus.md) 127 - [Hypervolume](Hypervolume.md) 128 - [Hyperplane](Hyperplane.md) 129 - [Ambient Space](AmbientSpace.md) 130 - [Shear](Shear.md) 131 - [Right Hand Rule](RightHandRule.md) 132 - [Duality](Duality.md) 133 - [Cramers Rule](CramersRule.md) 134 - [Gaussian Elimination](GaussianElimination.md) 135 - [Eigen Vector](EigenVector.md) 136 - [Transpose](Transpose.md) 137 138 Khan Unit 3: 139 140 - [Orthogonal Complement](OrthogonalComplement.md) 141 - [Projection](Projection.md) 142 - [Change Of Basis](ChangeOfBasis.md) 143 - [Orthonormal](Orthonormal.md) 144 - [Gram Schmidt Process](GramSchmidtProcess.md) 145 - [Eigen Vector](EigenVector.md)