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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Graduate Are Order 1 Alternating Tensors Different from Normal Tensors?
- yifli
- · Replies 2 ·
Graduate Sophie Germain triangles and solutions to 2y² + 2y - 3 = z²
- Raphie
- · Replies 25 ·
Graduate Pictures of abstractions behind mathematical equations?
- jimgavagan
- · Replies 3 ·
Undergrad Linear equations for calculating position for the GPS
- guillefix
- · Replies 4 ·
Graduate Easy question on the Second Sylow Theorem
- Kreizhn
- · Replies 2 ·
Graduate Representing a function in a different space
- Apteronotus
- · Replies 1 ·
Undergrad What is the significance of rings in understanding Fermat's Last Theorem?
- lineintegral1
- · Replies 9 ·
Graduate Is Rank(A) Equal to Trace(AA*) and When Does AB-BA=I Hold?
- arthurhenry
- · Replies 3 ·
Undergrad What is the Relationship Between Sine and Inverse Pi as n Increases?
- dimension10
- · Replies 3 ·
Undergrad Why Rank is the Trace of a Projection
- arthurhenry
- · Replies 3 ·
Graduate Vector Spaces of Infinite Dimension
- mscudder3
- · Replies 7 ·
Graduate Is Every Matrix Similar to Its Transpose?
- arthurhenry
- · Replies 4 ·
Graduate Properties of Gl(n,R); R a ring/division ring
- Bacle
- · Replies 2 ·
Graduate Is the Leech Lattice a Lie Group?
- Aztral
- · Replies 4 ·
Graduate What determines the orientation of a vector space?
- yifli
- · Replies 1 ·
Graduate How to prove 'infinite primes' kind of problem
- l-1j-cho
- · Replies 10 ·
Undergrad All Square Numbers Follow a Recursive Series?
- IntegrateRSC
- · Replies 2 ·
Undergrad Is Multiplication Really Just Repeated Addition?
- JyN
- · Replies 93 ·
Graduate Orthogonal Matricies and rotations.
- SprucerMoose
- · Replies 14 ·
Undergrad Recurrence formula in Pell's equation
- basil
- · Replies 6 ·
Undergrad SVD vs Eigenvalue Decompositon (Diagonalizability)
- eehsun
- · Replies 3 ·
Graduate The mapping to alternating tensors
- yifli
- · Replies 2 ·
Undergrad What are the applications of group theory?
- battousai
- · Replies 6 ·
Undergrad What are some recommended books for learning linear algebra?
- achuthan1988
- · Replies 2 ·
Graduate Determining if Subset is a Subgroup by using Group Presentation
- Bacle
- · Replies 2 ·
Undergrad How to extend a set to form a basis?
- mitch_1211
- · Replies 6 ·
Graduate Would Number Theory Collapse if Riemann's Hypothesis is Proven True?
- l-1j-cho
- · Replies 3 ·
Graduate Can orthonormal columns lead to orthonormal rows in a square matrix?
- td21
- · Replies 1 ·
Graduate Quantifiers - does this order matter?
- gmmstr827
- · Replies 2 ·
Graduate Unique volume element in a vector space
- yifli
- · Replies 6 ·
Graduate What is the rotation group of a cube?
- lugita15
- · Replies 18 ·
Graduate Convex cone of sum of compact set and cone
- wjulie
- · Replies 12 ·
Undergrad Is √N Always Irrational for Non-Square Integers?
- bgwyh_88
- · Replies 2 ·
Graduate Grad textbook on abstract algebra
- ForMyThunder
- · Replies 5 ·
Graduate Irreducible polynomial of degree nm from f and g over GF(q)
- burritoloco
- · Replies 5 ·
Graduate Primes and arithmetic progressions.
- hansenscane
- · Replies 2 ·
Graduate Which is the Correct Jordan Form?
- arthurhenry
- · Replies 5 ·
Graduate Alt Tensor: If Alt(\omega)=\omega, Is \omega Alternating?
- yifli
- · Replies 1 ·
Graduate Find the differentiation operator matrix for three function bases
- bernoli123
- · Replies 1 ·
Graduate Proving Normality of a Quotient Group: A Shortcut Method
- Hjensen
- · Replies 2 ·
Graduate Invariance of scalar products on Lie algebras
- SergejVictorov
- · Replies 2 ·
Graduate How many ways to express a prime (= 1 mod 4) into sum of 2 squares ?
- lifom
- · Replies 7 ·
Undergrad Do non-homogeneous linear system solutions form a subspace?
- mitch_1211
- · Replies 2 ·
Undergrad Does infinite solutions imply the row vectors are linearly dependent?
- mitch_1211
- · Replies 3 ·
Graduate What Are the Divisibility Patterns of Repunit Numbers?
- l-1j-cho
- · Replies 2 ·
Undergrad Expressing Matrix Product Ax as Linear Combination of Column Vectors in A
- mitch_1211
- · Replies 5 ·
Graduate Meaning of Eigenvectors in a Graph
- gigaJoule
- · Replies 1 ·
Graduate When p(A)=0 iff p(B)=0 for any polynomial,why same minimal polynomial?
- td21
- · Replies 2 ·
Undergrad Why is the minimum norm solution commonly used for underdetermined systems?
- ayvee
- · Replies 1 ·
Graduate Can Any Matrix Be Similar to Itself Without Being a Scalar Multiple?
- td21
- · Replies 1 ·
Graduate Is Q^{-1}AQ^{-1} Always Hermitian?
- td21
- · Replies 1 ·
Graduate Triangular Similar Matrix question
- Alupsaiu
- · Replies 3 ·
Undergrad Prove the column space of AB is contained in the column space of matrix A
- mitch_1211
- · Replies 3 ·
Undergrad Proving Invertible Matrix A Creates New Basis from {X1,X2,X3..Xn}
- mitch_1211
- · Replies 4 ·
Undergrad Is There Always a Solution for b^x - b^y to be Divisible by a?
- Petr Mugver
- · Replies 5 ·
Undergrad Approximating an area by rectangles
- bluemoon2188
- · Replies 2 ·
Graduate Classes of polynomials whose roots form a cyclic group
- burritoloco
- · Replies 8 ·
Undergrad Finding basis and dimension of W = {(a,b,c,0)} where abc are real numbers
- mitch_1211
- · Replies 10 ·
Graduate Is \mathcal S Equipped with a Convex Structure?
- Fredrik
- · Replies 2 ·
Graduate How Can You Accurately Draw the Riemann Xi Function Curve?
- zetafunction
- · Replies 2 ·
Graduate Reciprocal basis and orientation
- feynman137
- · Replies 1 ·
Undergrad Why do AB and BA have the same characteristic polynomial?
- td21
- · Replies 2 ·
Graduate Product of two systems of linear differential equations
- Leo321
- · Replies 2 ·
Undergrad What is a Closed Linear Subspace?
- mynameiseva
- · Replies 4 ·
Undergrad Finding values of t for which the set is linearly independent
- mitch_1211
- · Replies 8 ·
Graduate What is the geometric interpretation of the Gram-Schmidt process?
- EngWiPy
- · Replies 5 ·
Graduate Any fast way to compute the fixed vector of a Markov chain transistion matrix?
- samuelandjw
- · Replies 2 ·
Undergrad Does this set of polynomials span P3?
- mitch_1211
- · Replies 6 ·
Graduate Ken Ono and Hausdorff dimensions
- chis
- · Replies 8 ·
Graduate Congruence: Solving Let p be a Prime Number
- Bhatia
- · Replies 6 ·
Graduate Row reducing the matrix of a linear operator
- *FaerieLight*
- · Replies 3 ·
Graduate Differentiability of eigenvalues of a positive matrix
- Leo321
- · Replies 11 ·
Undergrad Finding eigenvectors of similar matrices
- Alupsaiu
- · Replies 4 ·
Graduate Is a 2x2 Complex Matrix with N^2=0 Always Similar to a Specific Form?
- Alupsaiu
- · Replies 3 ·
Graduate Can you prove this inequality involving factorials and powers?
- jostpuur
- · Replies 11 ·
Undergrad Solving u + LuL^T = v for u in the form B₁vB₂
- Skatch
- · Replies 1 ·
Undergrad Testing for linear combinations using matrices instead of vectors
- mitch_1211
- · Replies 4 ·
Graduate Does Dirichlet's theorem apply to primes of the form (n+1)n+1?
- tuttlerice
- · Replies 2 ·
Undergrad Intuition behind rotation matrices?
- Inertigratus
- · Replies 5 ·
Graduate Does AA^\dagger=I Imply A^\dagger is the Generalized Inverse of A?
- NaturePaper
- · Replies 3 ·
High School Simple explanation of a vector space
- PainterGuy
- · Replies 4 ·
Undergrad Does there exists a matrix who's product is itself?
- mscudder3
- · Replies 9 ·
Graduate Self Adjoint and Anti-Self Adjoint questoin
- Alupsaiu
- · Replies 2 ·
Undergrad Sum of digits without regard to place value?
- marcuss421
- · Replies 7 ·
Graduate Column space of positive semidefinite matrix
- td21
- · Replies 4 ·
Graduate Coefficient of a polynomial in K[x] where K is a field of characteristic p
- rukawakaede
- · Replies 5 ·
Undergrad Matrix notation for vector stacking
- hadron23
- · Replies 2 ·
Graduate Why an Invariant Subspace Has an Eigenvector
- arthurhenry
- · Replies 3 ·
Graduate Conserving contiguity with a transposed progression
- Loren Booda
- · Replies 3 ·
Undergrad What is the well-ordering theorem in layman's terms?
- mlsbbe
- · Replies 19 ·
Undergrad Is 59,649,589,127,497,217 a prime no.?
- chhitiz
- · Replies 18 ·
Graduate Matrix Representation of a linear operator
- *FaerieLight*
- · Replies 2 ·
Graduate What does completing a group algebra with respect to the universal C*-norm mean?
- Monocles
- · Replies 11 ·
Graduate Finding Fraction Field of Z[1/2]
- Metric_Space
- · Replies 13 ·
Graduate Symmetric bilinear forms on infinite dimensional spaces
- henry_m
- · Replies 4 ·
Graduate Adjoint versus classical adjoint/any relation?
- arthurhenry
- · Replies 1 ·
Graduate Algebraic and Transcendental irrational numbers
- KevB
- · Replies 2 ·
Undergrad Can Base 10 Logs be Evaluated Without a Calculator?
- Flexington
- · Replies 18 ·
Graduate How to Find the Basis of a 23D Subspace Using Maple or Matlab?
- uwowizard
- · Replies 6 ·
Undergrad Is the Similarity Matrix S of A always the Identity Matrix?
- td21
- · Replies 3 ·