Join experts in discussing linear and abstract algebra topics. This includes vector spaces and linear transformations. Also groups and other algebraic structures along with Number Theory.
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Undergrad Linear Combination Mapping: Is the Invertible Matrix Theorem True or False?
- henry3369
- · Replies 5 ·
Graduate Can the Set R(G) be Proven as a Ring in Convolution on Groups?
- Bipolarity
- · Replies 1 ·
Graduate Vector subspace and linear transformation
- Montgomery
- · Replies 1 ·
Homomorphism - Sharper Cayley Theorem
- Kiwi1
- · Replies 3 ·
Finding Isomorphisms between Groups: D6, A4, S3xZ2, G
- Enzipino
- · Replies 1 ·
Graduate Book for abstract algebra (group and galois theory)
- Avatrin
- · Replies 4 ·
Graduate Proof that eigenvalues are constants
- jk22
- · Replies 7 ·
Could you explain me about 'relation algebraic property with conjugate'?
- bw0young0math
- · Replies 2 ·
Undergrad Complex numbers and vector multiplies continued
- keldon
- · Replies 15 ·
Graduate Relationship between inverse matrix and inertia tensor?
- Bruno Tolentino
- · Replies 2 ·
Determinant - Proof for distinct real numbers
- Dethrone
- · Replies 2 ·
Proof: Determinant of 3 Non-Colinear Points is 0
- Dethrone
- · Replies 5 ·
What is Algebraic Multiplicity and How Does It Relate to Solving Matrices?
- Dethrone
- · Replies 20 ·
What is the basis for $F$ in linear algebra?
- Dethrone
- · Replies 2 ·
Finding a basis for a Vector Space
- Dethrone
- · Replies 3 ·
Graduate Why does this shortcut for eigenvectors of 2x2 symmetric work?
- RickF-
- · Replies 1 ·
Graduate Scaling the parameter of the SO(2) rotation matrix
- spaghetti3451
- · Replies 2 ·
Graduate Representations of semi-simple lie algebra
- branch
- · Replies 7 ·
Graduate Computing the Inverse of a Cubic Matrix
- Bruno Tolentino
- · Replies 4 ·
Squares in a field with q^n elements
- Prefer
- · Replies 3 ·
Graduate Large weighted least squares system
- vibe3
- · Replies 4 ·
Graduate Vector Identity: Understanding ∇⋅A and A ⋅∇ in Spherical Coordinates
- majormuss
- · Replies 7 ·
Undergrad Matrix Differentiation Problem
- leonmate
- · Replies 3 ·
Undergrad Stumbling Upon Pi: Could a Billion 3's be Hidden Inside?
- rmberwin
- · Replies 24 ·
Undergrad 4th order Polynomail starting at a desired Point
- mrmonk7663
- · Replies 16 ·
Graduate Jacobi and Gauss-Seidel Iteration
- nxtgarnett
- · Replies 1 ·
Undergrad How to find a point on line of intersection of 2 planes?
- NotASmurf
- · Replies 9 ·
Algebra help about polynomials
- kelly
- · Replies 5 ·
Graduate Transforming Vectors from Basis B to C: A Confusing Matter
- devd
- · Replies 3 ·
Vector that describes the power
- mathmari
- · Replies 18 ·
Find the minimal polynomial of some value a over Q
- E01
- · Replies 1 ·
Graduate Algebraic Multiplicity of an Eigenvalue
- vish_maths
- · Replies 4 ·
Graduate A lemma in proving Sylow's theorem
- Bipolarity
- · Replies 1 ·
Show eigenvalues are real and positive (too easy?)
- ognik
- · Replies 2 ·
Can a vector space also be a set?
- ognik
- · Replies 3 ·
Undergrad How Did Abstract Algebra Evolve From Elementary Algebra?
- Avichal
- · Replies 1 ·
Prove One-to-One Correspondence Conjugate Subgroups & Cosets N
- Kiwi1
- · Replies 1 ·
What is the General Pattern for Finding Matrix Powers?
- Aryth1
- · Replies 2 ·
Graduate Confusion with Tensors: Understanding Finite-Dimensional Vector Spaces
- JonnyG
- · Replies 10 ·
Graduate Unraveling Theorem 4.2.5: Understanding Linear Maps and Scalar Products
- PcumP_Ravenclaw
- · Replies 2 ·
Graduate Operators for comparing superposition components -- definable?
- Agrippa
- · Replies 12 ·
Antisymmetry Invariant Under Similarity Orthogonal Transforms
- ognik
- · Replies 3 ·
Product of Symmetric and Antisymmetric Matrix
- ognik
- · Replies 2 ·
How Do You Prove (det A)aij = Cij(A) for an Orthogonal Matrix with det(A)=+1?
- ognik
- · Replies 5 ·
Graduate Can the system response function be calculated?
- Adel Makram
- · Replies 11 ·
Graduate Two quotient groups implying Cartesian product?
- jostpuur
- · Replies 2 ·
Question about the "E" Lie algebras
- topsquark
- · Replies 0 ·
Undergrad Eigenvalues and diagonalization of a matrix
- dyn
- · Replies 4 ·
Can a Non-Integer Exponent be Used to Solve a Polynomial Equation?
- NY99
- · Replies 2 ·
Graduate Least Square Estimator for Matrices: Bill's Problem
- bhobba
- · Replies 5 ·
Undergrad How Does the Vector Field F = [-x³, x, 0] Behave for Constant x Values?
- uzman1243
- · Replies 13 ·
Undergrad How to Solve a Vector Equation with Doubts on the Solution?
- PcumP_Ravenclaw
- · Replies 3 ·
Is 1, α, α², ..., αⁿ⁻¹ a Basis for ℚ(α)?
- said
- · Replies 3 ·
What Are the Bases for Column and Null Spaces of These Matrices?
- aidandeno
- · Replies 1 ·
Direct sum of p-primary components of an R-module counterexample?
- kalish1
- · Replies 1 ·
Graduate Solution to vector equation involving vector product
- PcumP_Ravenclaw
- · Replies 19 ·
Undergrad What is the necessary condition for matrix commutation?
- fairy._.queen
- · Replies 6 ·
Graduate Finding the points of a cube given two points.
- ilikeintegrals
- · Replies 1 ·
Inverse image of a set under the restriction of a function
- Math Amateur
- · Replies 2 ·
Proving elipsoide radius of axis i equals 1/sqrt(λi)
- JanezK
- · Replies 2 ·
Proving that a module can be decomposed as a direct sum of submodules
- kalish1
- · Replies 1 ·
Graduate When n*(n+1)/2 - k is never a square
- OlderOwl
- · Replies 2 ·
Clarification for Alternating Group
- Enzipino
- · Replies 1 ·
Finding inverse of F in Munkres' Topology Ch.2 EX 5 pg 106
- Math Amateur
- · Replies 2 ·
Graduate What does it mean to say a Lie group is real?
- pellman
- · Replies 2 ·
Definition of matrix transformation
- Carla1985
- · Replies 3 ·
Graduate Matrix of Gradients: Notation Explained
- aaaa202
- · Replies 2 ·
Relation between null and column space
- Dethrone
- · Replies 3 ·
Eigenvector of 3x3 matrix with complex eigenvalues
- rayne1
- · Replies 1 ·
Injective and surjective functions
- Ciaran
- · Replies 12 ·
General orthogonal scale factor identity
- ognik
- · Replies 1 ·
Undergrad Looking for an example of a Successive over-relaxation
- hahaha158
- · Replies 10 ·
Graduate Why Doesn't This Theorem Hold in Real Vector Spaces?
- dyn
- · Replies 13 ·
Basis for $U$ using $\operatorname{null}A$
- Dethrone
- · Replies 2 ·
Undergrad System of homogeneous equations
- AdityaDev
- · Replies 3 ·
Graduate Is sl(3,R) a subalgebra of sp(4,R)?
- Kurret
- · Replies 1 ·
Undergrad Euler's identity, mathematical beauty and applications of it
- audire
- · Replies 4 ·
Is a Matrix Invertible and Have Integer Entries If Its Determinant is 1 or -1?
- Dethrone
- · Replies 6 ·
Undergrad How to Solve Equations with a Singular Matrix?
- nelectrode
- · Replies 3 ·
Determinant of Block Matrices: How Do Non-Zero Blocks Affect the Determinant?
- Dethrone
- · Replies 3 ·
Why Is My Determinant Calculation Using Upper Triangular Form Incorrect?
- Dethrone
- · Replies 3 ·
Graduate How Do You Find a Basis for the Orthogonal Complement of Given Vectors in ℝ5?
- ichabodgrant
- · Replies 8 ·
Natural Isomorphism b/w Dual Spaces Tensor Prod & Multilinear Form Space
- caffeinemachine
- · Replies 3 ·
Graduate Block diagonalization of a matrix
- Qturtle
- · Replies 1 ·
High School Proof of (A+B)^2 = A^2 + 2AB + B^2 for Matrix Algebra
- Kavorka
- · Replies 4 ·
Undergrad Test Tomorrow Linear independence, spanning, basis
- blakpete91
- · Replies 7 ·
If matrix lambda is diagonal with entries 0,1 then lambda squared is lambda
- Jameson
- · Replies 2 ·
Undergrad Understand Linear Algebra: Im(BF) in Im(B)?
- Payam30
- · Replies 3 ·
High School Difference between REF/RREF (Gauss vs Gauss-Jordan)?
- leo255
- · Replies 1 ·
Barycentric coordinates in a triangle - proof
- Samwise1
- · Replies 5 ·
Graduate Coefficients on the p-adic expansions
- MostlyHarmless
- · Replies 1 ·
Graduate P-adic norm, valuation, and expansion
- MostlyHarmless
- · Replies 1 ·
Graduate Uncovering Surprising Properties of the Cholesky Decomposition
- amateur82
- · Replies 1 ·
Graduate How to Simplify a Double Dot Product of Tensors?
- nikphd
- · Replies 5 ·
Graduate Constructing a field of 4 elements
- PsychonautQQ
- · Replies 4 ·
Graduate Su(2), so(3) and their representations
- Lapidus
- · Replies 2 ·
Undergrad QR Decomposition w/ Householder and Givens Transformations
- Th3HoopMan
- · Replies 4 ·
Graduate Double Dot Product: Solving 3D Vector Problem
- Naake
- · Replies 3 ·
Graduate Green's Function - modified operator
- RightFresh
- · Replies 9 ·
Undergrad Matrices and systems of equations
- Avatrin
- · Replies 2 ·