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 Is (2^58+1)/5 a Prime or Composite Number?
- sachinism
- · Replies 10 ·
High School Next number in the series 2, 3, 4, 9, 6, 12, 8, 15, 16, 18
- Loren Booda
- · Replies 2 ·
Undergrad What Are Some Practical Applications of Group Theory?
- pdureja
- · Replies 4 ·
Graduate Show that a group of operators generates a Lie algebra
- russel
- · Replies 26 ·
High School What is a matrix and what are some examples?
- nickthrop101
- · Replies 4 ·
Graduate Patterns of remainders when dividing x^n/n
- ershi
- · Replies 2 ·
Undergrad When do primes and integers in modulo 2^n form equal products?
- John Creighto
- · Replies 1 ·
High School What is the next number in the sequence 0, 1, 1, 1, 2, 2, 4, 8, 12, 96?
- Loren Booda
- · Replies 3 ·
Graduate Is Simplifying Group Axioms to Just Left Identity and Inverses Valid?
- Fredrik
- · Replies 3 ·
Undergrad What does vector division A/B mean?
- mdnazmulh
- · Replies 31 ·
Undergrad What is Vector Inversion and How Does It Differ from Vector Division?
- jasper353
- · Replies 3 ·
Graduate What is the significance of diagonalizing the matrix in an LC-circuit?
- valjok
- · Replies 9 ·
Undergrad Difference between a vector space and a field?
- wk1989
- · Replies 9 ·
Graduate Why does this recursive series satisfy multiple algebraic identities?
- ramsey2879
- · Replies 2 ·
Undergrad Do Vectors [a, b, c] with c - a = 2b Form a Vector Space?
- whyayeman
- · Replies 16 ·
High School I apologize if this is old. Thing I found.
- wfsolis
- · Replies 6 ·
Graduate Revised Simple Proof of the Beal's Conjecture
- MrAwojobi
- · Replies 16 ·
Graduate What is the Geometric Proof of Goldbach's Conjecture Using Counter Diagonals?
- toddkuen
- · Replies 6 ·
Graduate Number of generators of finite group
- gerben
- · Replies 4 ·
Graduate What Does Georgi Mean by Vector Space in Theorem 1.5?
- krishna mohan
- · Replies 13 ·
Graduate The number of ways to express a specific summation
- eehsun
- · Replies 2 ·
Undergrad Is trace(A*A) always positive?
- zeebek
- · Replies 6 ·
Undergrad What Does Column n-Tuple Mean in Vector Spaces?
- vanckzhu
- · Replies 3 ·
Graduate SU(2) as representation of SO(3)
- maxverywell
- · Replies 12 ·
Undergrad Is there a formula to predict or generate prime numbers?
- .physics
- · Replies 7 ·
Graduate Can Hyperreal Numbers Form a Vector Space Over the Reals?
- Rasalhague
- · Replies 5 ·
Graduate Multiplicative Identity under Matrix Multiplication
- rachbomb
- · Replies 12 ·
Graduate Projection and Inclusion in Higher-Dimensional Spaces: What's the Difference?
- FreHam
- · Replies 4 ·
Graduate Is E an Algebraic Closure of Q a Normal Extension?
- emptyboat
- · Replies 3 ·
Graduate A little problem with permutations.
- gipc
- · Replies 2 ·
Graduate Do evanescent waves span a vector space?
- Heirot
- · Replies 7 ·
Graduate Unique Solution for Tx=y in R(T) when T is injective
- juaninf
- · Replies 5 ·
Graduate When does Tx=y have exactly one solution?
- juaninf
- · Replies 3 ·
Graduate Irrational+Irrational=Rational (deeper)
- Monkfish
- · Replies 8 ·
Graduate Matrix Transform: Meaning & Space Covered
- Leo321
- · Replies 8 ·
Undergrad Why is a negative sign not needed when swapping rows in matrix row echelon form?
- rapids79
- · Replies 1 ·
Graduate Sylow Subgroups: Show 10 is Not a Subgroup of Order 324
- beetle2
- · Replies 2 ·
Graduate Proof of Normal Subgroups in Group G - HN
- roam
- · Replies 12 ·
Graduate Module Equivalence: Understanding Ann(M)
- Bleys
- · Replies 3 ·
Graduate Inverting a Tensor - How to Find Out?
- tulip
- · Replies 3 ·
Graduate Change of basis in R^n and dimension is <n
- IniquiTrance
- · Replies 6 ·
Graduate Why Can't We Construct e(9) from e(8) in Exceptional Lie Algebras?
- tom.stoer
- · Replies 8 ·
Undergrad Matrix Solution and variable multiplication
- Ali Asadullah
- · Replies 2 ·
Graduate Choosing Postgrad Programme: Arithmetic Combinatorics Vs Algebraic Number Theory
- deetz
- · Replies 2 ·
Undergrad Understanding Eigenvectors and Eigenvalues in Linear Transformations
- porcupine6789
- · Replies 9 ·
Graduate Exponential of a tridiagonal symmetric matrix
- Physicslad78
- · Replies 1 ·
Graduate Proof that (x^t)Ax>0 if Eigenvalues of Matrix A > 0
- megaman
- · Replies 3 ·
Undergrad Dimension for Vector Space involving Planes
- Red_CCF
- · Replies 25 ·
Graduate Question on N-dimensional Lie Groups
- antibrane
- · Replies 3 ·
Undergrad Figuring resistance and temperature
- ISX
- · Replies 2 ·
Undergrad Multiplication of two matrices
- Zeato
- · Replies 4 ·
High School Is Gauss Elimination Method the Same as Gauss Jordan Method in Matrices?
- gkraju
- · Replies 1 ·
Graduate Question re. tensor product of v. spaces
- Newtime
- · Replies 9 ·
Graduate Are Natural Bijections Only About Terminology in Category Theory?
- vanckzhu
- · Replies 5 ·
High School Some properties of vectors - there is a point I don't understand it .
- r-soy
- · Replies 2 ·
Graduate Disproved the Riemann Hypothesis?
- choe
- · Replies 2 ·
Graduate Eigenvalues of AX - XA: Finding Eigenvectors for a Real 2x2 Symmetric Matrix
- alchemik
- · Replies 2 ·
Undergrad Associated Homogeneous System definition
- Zeato
- · Replies 2 ·
Undergrad Counting Subsets of A with k Elements and Sum of r
- soroush1358
- · Replies 3 ·
Undergrad Bound Vector and Vector Products
- Ali Asadullah
- · Replies 8 ·
Graduate Understanding Determinants of Matrices over Commutative Rings
- Bleys
- · Replies 5 ·
High School Number 3 Appearing 1-1000: Counting Stats
- Abderrahim
- · Replies 1 ·
Graduate Number of partitions of 2N into N parts
- FaustoMorales
- · Replies 3 ·
Graduate Can Elements and Their Inverses Occupy Distinct Cosets in Nonabelian Groups?
- nbruneel
- · Replies 1 ·
Graduate Solutions of Ax = b (for singular A)
- monea83
- · Replies 2 ·
Undergrad Difference between a spanning and linear combination?
- ichigo444
- · Replies 7 ·
Undergrad Can Eigenvalues and Determinants Determine the Elements of a Square Matrix?
- Cygni
- · Replies 4 ·
Graduate Have You Noticed the Symmetry of Primes in the Sieve of Eratosthenes?
- r2i
- · Replies 2 ·
Graduate Cross product of complex vector and its conjugate
- s_guo82
- · Replies 2 ·
Graduate Are All Units in Z[sqrt(2)] of the Form +/- (1 +/- sqrt(2))^n?
- Phillips101
- · Replies 2 ·
Graduate Spinors, vectors and quaternions
- dimsun
- · Replies 2 ·
Graduate Prove Irreducibility of f(x) with Eisenstein's Criterion
- items
- · Replies 1 ·
Undergrad Can a Transformation Matrix be one-to-one and not onto?
- suchara
- · Replies 1 ·
High School Efficient way to solve basic high school level number theory questions?
- Helicobacter
- · Replies 22 ·
Graduate Novel Generalization Of Square Triangular Nos?
- ramsey2879
- · Replies 1 ·
Graduate Simple Proof of Beal's Conjecture
- MrAwojobi
- · Replies 7 ·
Graduate Why is A∧A nonzero in Yang-Mills curvature if ω∧ω=0?
- GoldPheonix
- · Replies 5 ·
Undergrad What is the meaning of the sigma notation in this matrix A?
- dodo21
- · Replies 6 ·
Graduate Do A and A^T have the same nullspace if A is normal?
- stanley.st
- · Replies 4 ·
Undergrad Set of vector which are solution to 2 homogeneous systems
- Philip Wong
- · Replies 4 ·
Graduate Proving Non-Diagonal Matrix Exponential is Diagonal - Ian's Problem
- charlesworth
- · Replies 3 ·
Undergrad Transforming Matrix Addition to Multiplication without Exponentiation
- aliya
- · Replies 8 ·
Graduate Generating group homomorphisms between Lie groups
- jostpuur
- · Replies 3 ·
Graduate Is there a course available for the Riemann Hypothesis (RH)?
- MathematicalPhysicist
- · Replies 5 ·
Graduate Linearly independent field homomorphisms.
- NoDoubts
- · Replies 2 ·
Graduate Is a Cancellative Semigroup the Same as a Group?
- prashantgolu
- · Replies 4 ·
Graduate What is the Spectral Radius of Partitioned Matrices M1 and M2?
- ali987
- · Replies 2 ·
Graduate Proving that for nilpotent A, A+I is invertible
- Identity
- · Replies 12 ·
Undergrad Why is diagonalizing a matrix beneficial?
- matqkks
- · Replies 7 ·
Undergrad Why would a solution not exist for an overdetermined system?
- saminny
- · Replies 6 ·
High School Gaussian Elimination: Solving Systems of Linear Equations
- matqkks
- · Replies 3 ·
Undergrad Physical meaning of orthonormal basis
- LGB
- · Replies 2 ·
Undergrad Getting full 0-360° angle between vectors with dot product method
- computerex
- · Replies 3 ·
Graduate How to prove this congruent proof?
- jy02354441
- · Replies 1 ·
Graduate Proving Grassmann's Algebra Using Free Vector Spaces
- ilia1987
- · Replies 3 ·
Undergrad Finding a Linear Transform for Contraction of Vectors
- MikeLizzi
- · Replies 5 ·
Undergrad Movement of a vector when multiplied by a matrix
- Ali Asadullah
- · Replies 3 ·
Graduate Jacobian determinant and volume change
- pamparana
- · Replies 1 ·
Graduate Finding Orthonormal Basis of Hilbert Space wrt Lattice of Subspaces
- adriank
- · Replies 2 ·
Graduate Transcendental Values for sin(Q*pi)
- marschmellow
- · Replies 7 ·