Matrices and Linear Algebra mind maps
79 mind maps by 63 users · Page 1 of 2
This GoConqr page gathers over 78 community-made resources on Matrices and Linear Algebra mind maps: quizzes, mind maps, flashcards and notes to revise and practise with.
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- History of Matrices and Linear Algebra5
- Matrix Operations and Properties19
- Systems of Linear Equations11
- Row Reduction and Matrix Rank7
- Determinants14
- Inverse Matrices8
- Vector Spaces and Subspaces32
- Inner Product Spaces8
- Linear Transformations22
- Geometric Transformations7
- Eigenvalues and Eigenvectors11
- Matrix Decompositions and Canonical Forms6
Mind maps
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67 nodesIntroduction to Linear Algebra Linear Systems · Matrices · Properties of Matrix ... · Determinants · Inverse of Matrix
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41 nodesLinear Transformation Introduction to Linea... · The Kernel and Range ... · The Matrix of Linear ...
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33 nodesDiagonalization For the First Case · Eigenvector Problem
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94 nodesMatrices m x n is the size of ... · Addition and Subtraction · Multiplication · Identity Matrix · Null Matrix · Diagonal Matrix
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29 nodesVector Space Linear Independence · Linear Span · Ax=b · Vector Subspace · Square Matrix · Linear Transformations
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27 nodesFP1 Matrices · Complex Numbers · Graph Sketching · Induction and Series · Identities and Roots ...
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87 nodesMATRICES Matrix as a linear tr... · MATRIX ALGEBRA (invol...
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45 nodesLA 7,8,9 Subspaces · Linear transformations · Kernels and Images · More Kernels and Images
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40 nodesLA 10, 11 The inverse of a line... · The determinant of a ...
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42 nodesLA 12, 13 Change of basis and e... · Eigenvectors and Eige...
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40 nodesMATRICES AND SISTEMS OF LINEAR ECUATIONS Matrices · System of Lineal Equa...
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55 nodesMatrices 1 A matrix is an array ... · M = (1 2) is a matrix... · Adding and Subtractin... · Multiplication of mat... · Matrices are non-comm... · Matrices are Associat...
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104 nodesCalculus Linear algebra · Function of 1 variable · Integration · Functions of several ...
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37 nodesVectorial Spaces We can add two vector... · We can multiply a vec... · Properties of the sum... · Properties of the pro... · Definition: vector sp... · VECTOR SUBSPACES
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60 nodesMatrixes numbers distributed i... · Operations and determ... · concepts · Important Types · properties
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94 nodesBussiness Math:Matrices Formula m x n is the size of ... · Addition and Subtraction · Multiplication · Identity Matrix · Null Matrix · Diagonal Matrix
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66 nodesEigenvalues & Eigenvectors Concepts · Eigenspaces · Finding Eigenvalues &... · Method to Obtain the ... · Finding Eigenvalues o...
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112 nodesVECTOR SPACE Vectors in The Plane · Vector Space · Subspaces of Vector S... · Spanning Sets & Linea... · Basis & DImension Vec... · The Rank of A Matrix ...
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7 nodesSection 1.2: Vector Spaces Theorem 1.1 (Cancella... · Corollary (Zero Vector) · Corollary (Inverse Ve... · Theorem 1.2 (Properti... · Zero Vector Space · Even Function/Odd Fun...
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7 nodesGaussian elimination Base Case · General Case/Recursiv...
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25 nodesmatrix A matrix is a rectang...
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58 nodesCHAPTER 5 : MATRICES matrix of real number · DETERMINANTS · SYSTEM OF LINEAR EQUA...
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58 nodesMatrics matrix of real number · DETERMINANTS · SYSTEM OF LINEAR EQUA...
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49 nodesGiven A series of linear eq... · A set of vectors
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90 nodesInner Products Space Vector Length & Unit ... · Inner Products Space · Orthogonal Basis
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47 nodes131: MathematicalSpaces Linear Spaces (Vector... · Topological Spaces · Hilbert Spaces · others
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17 nodesEigenvalues & Eigenvectors Eigenspace · Steps to find eigenva... · Example on how to sol...
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28 nodesEIGENVALUES Possess · can be used to comput... · are related to · have · can be · are special numbers w...
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44 nodesSystems of L E LINEAR EQUATION · SYSTEMS OF LINEAR EQU... · SOLUTION SET · PROCESSING AS MATRIX ...
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25 nodesMatrices a matrix is a rectang... · Multiplying matrices · special matrices
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36 nodesMatrices A Matrix is an array ... · Special Matrices · Operation Of Matrix · inverse Matrix
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42 nodesMatrices Order or Size of matr... · Addition A+B · Subtraction A-B · Multiplication A.B · Transpose A' · Linear System of equa...
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23 nodesLinear Independence Linear Dependent · only if no vi can be ... · nonzero rows in a red... · if the rREF has no ze... · det not equal to zero · BASIS
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31 nodesDeterminants Determinant of 2 x 2 ... · 3 x 3 Matrix or Greater · Special Cases · Effects of EROs on th... · Cramer's Rule · Polynomial Interpolation
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32 nodesMatrices Find determinant · Applications · Algebra
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50 nodesLinear Algebra Vector Space · Orthogonal & Orthonormal · Linear Transformation · Diagonalization
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42 nodesLinear Algebra Echelon Matrices · Possibilities of Line... · Matrix Algebra · Transpose · Singular Matrix · Row Canonical/ Row-Re...
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23 nodesAlgebra Linear systems and ma... · Vector spaces and lin... · Dimension and rank · Determinants and inve... · Eigenvalues and diago...
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45 nodesMatrices Simple · Equations · Transformations · Eigenvectors & Eigenv...
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22 nodesMatrices Minors and Cofactors ... · Trace of a matrix · Types of Matrices · Singular/ Non Singula... · Addition/ Subtraction... · Matrix Multiplication...
More Matrices and Linear Algebra resources
About matrices and linear algebra mind maps
GoConqr OriginalMatrices and Linear Algebra mind maps
These mind maps offer different ways into the unit. Gaussian elimination sets out cases for solving equations, while Eigenvalues & Eigenvectors gives you a map focused on those topics. The Vector Space map connects linear independence, span and basis.
Choose a route through the maps
For an overview, start with Introduction to Linear Algebra. Its branches bring systems, matrices and determinants together, making it a useful guide to topics you may want to revisit. If you want to focus on matrix operations, look for a Matrices map that covers addition and multiplication.
Follow one branch at a time and check whether you can explain its connections without looking. When you want to check your understanding with questions or read a longer explanation, switch to a quiz or notes on the unit page. Choose a map and follow a branch that interests you.
Frequently asked questions
Which mind map is a useful starting point?
Introduction to Linear Algebra is a useful starting point for an overview. It brings linear systems, matrices, determinants and inverses into one map. If you want to focus on operations instead, look for a Matrices map covering addition and multiplication.
What topics do the mind maps cover?
The maps cover matrix operations, Gaussian elimination, vector spaces and linear transformations, among other topics. Vector Space includes linear independence, span and basis. Diagonalization looks at when a matrix is similar to a diagonal matrix, while Eigenvalues & Eigenvectors focuses on those topics.
Are these mind maps free to use?
Yes. Every mind map listed here is free to open and study without an account. The resources were made by GoConqr users. A free account also lets you save quiz scores and make your own quizzes, mind maps, flashcards and notes.