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 A pseudo-orthogonalization process
- sunjin09
- · Replies 6 ·
Basis for the eigenspace corresponding
- saqifriends
- · Replies 2 ·
Prove that G is a p-group iff every element of G has order a power of p
- ibnashraf
- · Replies 3 ·
Undergrad Definition of vector addition, Cartesian product?
- vanmaiden
- · Replies 3 ·
Graduate What is the significance of 744 in Heegner Numbers?
- Anti-Crackpot
- · Replies 2 ·
High School Why Can I Move Vectors in a Coordinate System?
- Bashyboy
- · Replies 7 ·
Undergrad How can the common divisor theorem be proven using proof by induction?
- hawaiifiver
- · Replies 4 ·
Graduate Existent solution to the linear system Ax=b
- onako
- · Replies 4 ·
Undergrad What are Some Real-Life Applications of the Cayley Hamilton Theorem?
- matqkks
- · Replies 3 ·
Undergrad How was the irrationality of pi proven?
- Nerditude
- · Replies 3 ·
Graduate Solve for x, a and b in matrix equation aAx + bBx = C
- Panteren
- · Replies 5 ·
Graduate How do I isolate S in this Matrix and Vector Equation?
- chepa
- · Replies 4 ·
Undergrad What Does One-to-One Correspondence Mean in Mathematics?
- rethipher
- · Replies 3 ·
Undergrad The Fundamental Theorem of Algebra
- V0ODO0CH1LD
- · Replies 6 ·
What is the basis for each eigenspace?
- saqifriends
- · Replies 1 ·
Graduate Rotating tensors (different from vectors?)
- koab1mjr
- · Replies 5 ·
Undergrad Finding a vector from a matrix of element ratios
- enfield
- · Replies 1 ·
What does the notation $||A-B||_{2,a}$ represent in terms of matrix norms?
- OhMyMarkov
- · Replies 2 ·
Graduate Computing eigenvalues of 1000x1000 Hermitian matrices efficiently
- John943
- · Replies 4 ·
Graduate Alternative number system incorporating imaginary numbers
- Abdul Wadood
- · Replies 14 ·
Sylow p-subgroups of S₆: what are their possible orders?
- ibnashraf
- · Replies 1 ·
Graduate Significance of difference between ring and algebra
- algebrat
- · Replies 11 ·
Graduate Direct Product of Groups: Subgroup Realization and Diagonal Subgroup
- Bleys
- · Replies 5 ·
Graduate P primary group and the correspondence theorem
- jz2012
- · Replies 2 ·
Undergrad Why P^-1AP forms a triangular matrix
- d.vaughn
- · Replies 5 ·
Undergrad Help understanding x,y,z equations
- noatom
- · Replies 1 ·
Undergrad Discuss a system of equations by Gauss
- inverse
- · Replies 2 ·
Graduate Farrel Polynomials: Is It the Same as "Feral"?
- Skins
- · Replies 3 ·
Undergrad Why sine is used for cross product and cosine for dot product?
- ddnath
- · Replies 7 ·
Undergrad PARI/GP or comparable number theory program?
- DirichletHole
- · Replies 3 ·
Graduate Analytical Solution for Lower Triangular Matrix w/ Non-Zero Nth Column
- fourier1980
- · Replies 1 ·
Graduate Estimating 3d transformation of two triangles
- nimmie
- · Replies 3 ·
Undergrad Is it called ring because of a clock?
- algebrat
- · Replies 1 ·
Graduate How to Convert Given Grammar to Chomsky Normal Form?
- MalickT
- · Replies 5 ·
Graduate Abelian group with order product of primes = cyclic?
- nonequilibrium
- · Replies 1 ·
Undergrad Linear Algebra: Rotation Matrix Qθ+φ
- camchetan
- · Replies 3 ·
Graduate Wilson's theorem with odd primes and permutations
- Bleys
- · Replies 1 ·
Undergrad Determining the Point and Angle of Rotation
- Ashraf_Robot
- · Replies 8 ·
Graduate Why do morphisms in category of rings respect identity
- algebrat
- · Replies 7 ·
Undergrad What are the implications of calculating the determinant of a matrix?
- knightmetal
- · Replies 6 ·
Undergrad How Can You Combine Bases from Subspaces in Linear Algebra?
- applechu
- · Replies 7 ·
Graduate Can a group have monomorphisms in both directions and still not be isomorphic?
- charlamov
- · Replies 5 ·
Undergrad How to Deduce the Normal Vector from a Given Vector Equation?
- acpower89
- · Replies 1 ·
Graduate Is the Prüfer Group Presentation Proof for Z_{p^\infinity} Possible?
- charlamov
- · Replies 2 ·
Graduate Is the signature of this matrix zero?
- lavinia
- · Replies 8 ·
High School Finding integer values by matching polynomial remainders to divisors
- coolul007
- · Replies 2 ·
Undergrad Why does iterative convergence work for finding roots?
- thisischris
- · Replies 8 ·
Graduate Creating a least-squares matrix of partial derivatives
- BifSlamkovich
- · Replies 1 ·
Undergrad Real Life Applications of Infinite Solutions with Gaussian Elimination
- matqkks
- · Replies 4 ·
Graduate How Many Groups Exist with Order 24?
- charlamov
- · Replies 10 ·
Graduate Learning Galois theory: theory, examples, group theory, and applications
- algebrat
- · Replies 8 ·
Undergrad What practical applications does the inverse matrix have?
- matqkks
- · Replies 2 ·
Graduate Proving N is Maximal Ideal of G in Real Functions
- Ceci020
- · Replies 7 ·
Graduate Generating function for groups of order n
- Number Nine
- · Replies 2 ·
Undergrad A Pattern I Noticed: -1 Inverts Everything?
- NegativeOne
- · Replies 4 ·
Graduate Vector iteration/Power method for eigen values
- svishal03
- · Replies 6 ·
Graduate General Equation for Linear n-Subspace of C^n
- WWGD
- · Replies 14 ·
Undergrad Row operations performed on two matrices
- d.vaughn
- · Replies 4 ·
Graduate Isomorphism between divisible groups
- charlamov
- · Replies 2 ·
Graduate Proof of Prüfer Group Non-Existence
- charlamov
- · Replies 1 ·
Graduate Are All Groups of Order pq Nilpotent When p and q Are Primes?
- charlamov
- · Replies 1 ·
Graduate Conjugate fields and conjugate subgroups of an automorphism group
- imurme8
- · Replies 1 ·
Undergrad Does A perpendicular to two vectors have a unique direction?
- phiby
- · Replies 5 ·
Graduate Roots of unity form a cyclic group
- nonequilibrium
- · Replies 13 ·
Graduate The product of 8 consecutive natural numbers will not be a perfect square?
- iceblits
- · Replies 8 ·
Graduate Roots of polynomials as nonlinear systems of equations
- galoisjr
- · Replies 3 ·
Undergrad Can linear algebra convert the minimum column vector in a matrix?
- tobinare
- · Replies 3 ·
Graduate To prove that a field is complex
- friend
- · Replies 5 ·
Undergrad Determining invertibility of a matrix
- allanmulin
- · Replies 10 ·
High School History of matrices and determinants?
- jd12345
- · Replies 1 ·
Graduate What Can Be Said About the Eigenvalues of B^{-1}A Given A and B?
- JohnSimpson
- · Replies 1 ·
Undergrad About orthogonality and nullspaces
- applechu
- · Replies 2 ·
Graduate Why is KR = ω²MR an eigenvalue problem?
- svishal03
- · Replies 12 ·
Finding galois group of Fq(x^(1/(q-1))) over Fq(x)
- oblixps
- · Replies 2 ·
Graduate Regarding fixed points in finite groups of isometries
- fronton
- · Replies 6 ·
High School Unit vectors and vector quantities (notation)
- autodidude
- · Replies 4 ·
Graduate When is a Galois group not faithful
- algebrat
- · Replies 9 ·
Graduate Verification sequence of eigenvalue problem
- Ronankeating
- · Replies 2 ·
Finding irreducible factorizations
- Poirot1
- · Replies 1 ·
Graduate What is the least squares solution and how is it derived?
- Hiche
- · Replies 2 ·
Undergrad Proving W is a Subspace of P_3 & Finding a Vector Not in W
- Hiche
- · Replies 1 ·
Undergrad What is the nth term of this matrix?
- inverse
- · Replies 13 ·
Similar Matrices: Are Eigenvalues the Same?
- Sudharaka
- · Replies 2 ·
Graduate Is Eisenstein's Criterion Applicable to Polynomials in the Gaussian Integers?
- Ted123
- · Replies 2 ·
Graduate Is An a Normal Subgroup of Sn? A Proof and Explanation
- kimkibun
- · Replies 3 ·
Graduate Are Scalar Quantities in Physics really 1-D Affine Spaces in disguise?
- Rising Eagle
- · Replies 41 ·
Graduate Extended Goldbach: every odd number the sum of 5 primes
- lpetrich
- · Replies 1 ·
Graduate A variation on a classic problem
- Elroch
- · Replies 2 ·
Graduate Subspace as a Direct Sum of Intersections with Basis Partition?
- imurme8
- · Replies 2 ·
Graduate Can (Z/10557Z)* be written as Cn1 x Cn2 x Cn3 with n1 dividing n2 dividing n3?
- RVP91
- · Replies 1 ·
Undergrad Why is the Vector Product Operation Considered Multiplication?
- Battlemage!
- · Replies 12 ·
Undergrad Count subsets where the largest element is smaller than the sum of the rest
- SeventhSigma
- · Replies 102 ·
Undergrad Subspace, vectorspace, nullspace, columnspace
- V0ODO0CH1LD
- · Replies 3 ·
Graduate Solving a large under-determined system of linear equations
- FrankST
- · Replies 1 ·
Graduate Eigenvalue Question: Can I have an Infinite Matrix?
- cragar
- · Replies 6 ·
Graduate Understanding Rank One Matrices and Their Application in Nullspace and Row Space
- applechu
- · Replies 5 ·
Graduate How to detect redundant equation from a system of nonlinear equation?
- gohkgohkgohk
- · Replies 3 ·
Graduate Miscellaneous questions on operators
- spaghetti3451
- · Replies 1 ·
Undergrad How Can You Maximize a Linear Equation with Multiple Constraints?
- abhishek2301
- · Replies 2 ·
Graduate Is the Goldbach Conjecture Finally Proven?
- praharmitra
- · Replies 36 ·