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 What Is an Example of a Matrix Norm?
- ericm1234
- · Replies 4 ·
Undergrad How can I use different angles in linear algebra rotations?
- Pin Head
- · Replies 1 ·
Is Statement 3 Correct Concerning Non-Invertible Matrices in Linear Systems?
- Yankel
- · Replies 3 ·
How Do You Prove That sa + tb Divides gcd(a, b) in Bezout's Lemma?
- nicodemus1
- · Replies 3 ·
Undergrad L2 norm for complex valued vector
- ericm1234
- · Replies 1 ·
Undergrad Is Linear Independence Correctly Applied in These Examples?
- Gipson
- · Replies 38 ·
Undergrad Linear combination of linear combinations?
- bonfire09
- · Replies 3 ·
Which one of these statements is wrong ?
- Yankel
- · Replies 5 ·
Matrix representation of T with Basis B?
- Fernando Revilla
- · Replies 1 ·
Graduate Can You Explain the Relationship Between a Basis and Its Dual Basis?
- simpleton
- · Replies 5 ·
Solving an Unsolved Math Problem: Ring A & Polynomials
- Fernando Revilla
- · Replies 1 ·
Graduate Matrix trace minimization and zeros
- GoodSpirit
- · Replies 3 ·
Indicial Notation 2: Proving $\mathbf{a}\times\mathbf{b}\cdot\mathbf{a} = 0$
- Dustinsfl
- · Replies 2 ·
For which values of k the matrix is diagonalized ?
- Yankel
- · Replies 12 ·
High School How to calculate rank of 2 by 1 matrix?
- shivaniits
- · Replies 9 ·
Undergrad Solving a system of 3 nonlinear equations
- EM_Guy
- · Replies 3 ·
Undergrad Is the Empty Set a Vector Space?
- bonfire09
- · Replies 3 ·
Graduate Abstract Algebra - Natural Numbers Proof
- adamsmc2
- · Replies 2 ·
Undergrad Where would I use quadratic forms and how?
- marellasunny
- · Replies 2 ·
Solve Autoregressive Model Problem
- Fernando Revilla
- · Replies 2 ·
Graduate Question about SO(N) group generators
- Einj
- · Replies 3 ·
Graduate Free R-Module Basics: What is a Copy of R?
- Artusartos
- · Replies 1 ·
Graduate Generalized Associative Law for Groups
- sammycaps
- · Replies 6 ·
Technical problem with eigenvalues
- Yankel
- · Replies 2 ·
Prove that this matrix equation has no roots
- Fernando Revilla
- · Replies 2 ·
Vector Proofs: Constant Magnitude and Orthogonality in Finite Dimensional Spaces
- Dustinsfl
- · Replies 1 ·
Solving Vector Manipulation Problem with $\lambda$, $\mathbf{b}$, $\mathbf{c}$
- Dustinsfl
- · Replies 8 ·
Graduate A question about invariant factors
- Artusartos
- · Replies 1 ·
Graduate Nagging Math Ques #1: 'Pseudo-Inner Product'
- PoomjaiN
- · Replies 5 ·
What Is the Structure of This Quotient Group?
- Deveno
- · Replies 4 ·
Graduate Why is this matrix bad conditioned?
- divB
- · Replies 4 ·
Graduate Mersenne Primes: Identifying & Eliminating Non-Prime Numbers
- arydberg
- · Replies 6 ·
Undergrad Why Does a Singular Matrix Imply Infinite or Zero Solutions?
- member 428835
- · Replies 3 ·
Graduate Multilinear Functions and Polynomials
- Dragonfall
- · Replies 1 ·
Undergrad Shedding some light on the dot product
- cytochrome
- · Replies 2 ·
Graduate Understanding generating sets for free groups.
- Monobrow
- · Replies 2 ·
Graduate Is there a relationship between odd composite numbers and their factors?
- yourskadhir
- · Replies 1 ·
Graduate How Do We Prove Something is a Submodule?
- Artusartos
- · Replies 3 ·
Undergrad What is the difference between a vector field and vector space?
- harjyot
- · Replies 4 ·
Undergrad Inverse of a Matrix - Understanding Why We Note Relatively Prime Expressions
- Artusartos
- · Replies 4 ·
Graduate An optimization problem worthy of our attention
- Stephen Tashi
- · Replies 2 ·
Undergrad Do Galois Theory Applications Influence Physics?
- kostas230
- · Replies 2 ·
Unusual algebra problem (having trouble understanding the explanation)
- m3dicat3d
- · Replies 11 ·
Graduate Can a topologically bounded set in a tvs contain a ray?
- danzibr
- · Replies 5 ·
Undergrad Is the set of prime pairs (p, p+2) finite?
- Michael27
- · Replies 4 ·
Prove there exists a matrix with certain entries and determinant
- Arnold1
- · Replies 1 ·
Linear Dependency: Find x for a,b,c in R3
- Yankel
- · Replies 3 ·
Graduate Can Different Access Patterns Improve a Matrix's Condition Number?
- nurfherder
- · Replies 5 ·
Linear Dependence of Vectors Spanning a Space: Example Needed
- Yankel
- · Replies 2 ·
Graduate Number of unique ways of stacking n blocks
- hello95
- · Replies 3 ·
Undergrad New to Linear Algebra: Confused on Reduced Row Echelon Form
- sniper_spike
- · Replies 4 ·
Undergrad How do I properly set up the matrix for polynomial regression?
- jjj888
- · Replies 10 ·
High School Vectors - write ordered triples in vertical or horizontal form?
- Outrageous
- · Replies 6 ·
Graduate Questions about Proving R/I is not the Zero Ring
- Artusartos
- · Replies 1 ·
Graduate The Spectral Theorem in Complex and Real Inner Product Space
- vish_maths
- · Replies 4 ·
High School A Few Numbers With Strange Qualities
- suzi9spal
- · Replies 11 ·
Undergrad Some technical questions about spans and bases
- Bipolarity
- · Replies 2 ·
High School Understanding 3x3 Matrices: An Overview
- vvl92
- · Replies 3 ·
Graduate Rank of a matrix and max number of missing values
- sanaz
- · Replies 4 ·
Graduate Transition Matrices: Solving X[T]X & T(v_1)=v_2
- Artusartos
- · Replies 6 ·
High School Why do we choose to have perpendicular axis?
- Avichal
- · Replies 9 ·
Question about Linear Dependency
- Yankel
- · Replies 3 ·
High School Very basic question about vector orientation
- cytochrome
- · Replies 9 ·
Graduate Complexity of a quadratic program
- Socal93
- · Replies 3 ·
Linear Dependency: Proving Vector Independence in V
- Yankel
- · Replies 1 ·
Undergrad Minimum table size to contain combinations 000 to 999 in adjacent squares
- islesv
- · Replies 7 ·
Graduate How can matrices be used as a basis for linear mappings?
- nickthegreek
- · Replies 2 ·
Graduate Finding the Equation of a Plane in R3 Using Intersection Points and Distances
- xzardaz
- · Replies 5 ·
Undergrad What is the proof of this theorem in Vector Spaces ?
- Maths Lover
- · Replies 10 ·
Graduate New idea about Integer Factorization
- yourskadhir
- · Replies 4 ·
Graduate What Is a Pseudo-Orthogonal Matrix?
- orthogonal
- · Replies 4 ·
Graduate Understanding 2-Transitivity in Multiply Transitive Groups
- laptopmarch
- · Replies 1 ·
Graduate Finite Difference Method, Leapfrog (2,4) CFL Condition
- wrechtin
- · Replies 2 ·
Undergrad General algorithm for a magic square
- Vineeth T
- · Replies 6 ·
Graduate If V is a complex inner product and T is an operator on V such that <Tv,v> = 0
- vish_maths
- · Replies 3 ·
Graduate Proving Diagonalizability of Adjoint Operator on Finite Inner Product Space
- sammycaps
- · Replies 12 ·
Automorphism of order 2 fixing just identity. Prove that G is abelian.
- caffeinemachine
- · Replies 1 ·
Proving the Inverse of the Adjoint Matrix Property for nxn Matrices
- Yankel
- · Replies 2 ·
Undergrad Can m(m+1) Equal kn for Natural Numbers m, k, and n?
- physics kiddy
- · Replies 16 ·
Graduate Inner Product Space of two orthogonal Vectors is 0 , Is this defined as it is ?
- vish_maths
- · Replies 3 ·
Undergrad Understanding the Usefulness of Vector Projection
- member 392791
- · Replies 12 ·
Graduate Some ideas concerning the Goldbach conjecture
- JFGariepy
- · Replies 2 ·
Graduate Explicit solution. Properties of vector norms
- james1234
- · Replies 1 ·
Repeated eigenvalues of a symmetric matrix
- matqkks
- · Replies 2 ·
Graduate Equality of Operators A & B on Hilbert Space H
- ShayanJ
- · Replies 6 ·
Graduate About interesting convergence of Riemann Zeta Function
- cryptist
- · Replies 10 ·
Undergrad Why do we need to convert to a diagonal matrix?
- matqkks
- · Replies 4 ·
Graduate How can we use the Singular Value Decomposition (SVD) for image compression?
- matqkks
- · Replies 2 ·
Exploring the Importance and Applications of Singular Value Decomposition (SVD)
- matqkks
- · Replies 1 ·
Graduate NxN-complex matrix, identified 2Nx2N-real matrix, determinant
- jostpuur
- · Replies 2 ·
Graduate Repeated eigenvalues of a symmetric matrix
- matqkks
- · Replies 2 ·
Graduate What do we mean by 'Equivalent Projective representation ?
- S_klogW
- · Replies 2 ·
Graduate Every feild has a subset isomorphic to rational numbers?
- Tyler314
- · Replies 5 ·
Graduate Puzzled about characteristic polynomial output from my calc
- AdamR
- · Replies 5 ·
Graduate Is This Quadratic Form Positive Definite or Indefinite?
- Gauss M.D.
- · Replies 4 ·
Undergrad How does the change of basis theorem work in linear algebra?
- bonfire09
- · Replies 2 ·
Undergrad Intuitive explanation for the general determinant formula?
- jjepsuomi
- · Replies 4 ·
Graduate Eigenvalues of a complex symmetric matrix
- sodaboy7
- · Replies 14 ·
Graduate Infinite ring with exactly two non trivial maximal ideals
- LikeMath
- · Replies 4 ·
Undergrad Orthogonal set - Geometric interpretation
- shounakbhatta
- · Replies 1 ·