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 Counting partitions with two givens
- ktoz
- · Replies 17 ·
High School Less notorious, but still important numbers
- Jenab
- · Replies 12 ·
Graduate Determinant of nxn Matrix as Linear Function of Each Row
- jeff1evesque
- · Replies 8 ·
Graduate Characteristic Polynomials and Minimal polynomials
- xfunctionx
- · Replies 9 ·
Undergrad Understanding Phi Function and Multiplicativity
- hanelliot
- · Replies 2 ·
Graduate About the isomorphism of 2 infinite-dimensional vector spaces
- sanctifier
- · Replies 3 ·
Graduate About the basis of a quotient space
- sanctifier
- · Replies 2 ·
Graduate Eigenvectors and Manipulations on the Matrix
- sleepisgood
- · Replies 2 ·
Graduate Can Any 4th Degree Polynomial Be Expressed as a Quadratic of a Quadratic?
- okkvlt
- · Replies 2 ·
Undergrad Playing around with imag. numbers.
- flatmaster
- · Replies 7 ·
Graduate Can Representation Theory Be Applied to Homomorphisms and Finite Abelian Groups?
- tgt
- · Replies 9 ·
Graduate Proving R is Infinite-Dimensional & Solving 3 Variable System
- seju79
- · Replies 1 ·
Undergrad Basis is finite set of vectors that are linearly independant
- squenshl
- · Replies 2 ·
Graduate Are there any such symbolic representations of Pi or ex?
- RSKueffner
- · Replies 16 ·
High School Finding Values of k for 6k2+4k in the Form 6ab+5a+b?
- chhitiz
- · Replies 2 ·
Graduate Determining Irreducibility of f(x) and Third Degree Polynomials in Q[x]
- peteryellow
- · Replies 1 ·
Graduate Proving Abelian Property of Galois Group in Q(z) over Q
- jeffreydk
- · Replies 3 ·
Graduate Proving Finite Field Roots for Z_p
- jeffreydk
- · Replies 2 ·
Undergrad Basic question, vectors into matrices
- Shawj02
- · Replies 1 ·
Undergrad Is Linear Algebra More Important Than Calculus in Physics?
- Winzer
- · Replies 5 ·
Graduate What is the difference between the two definitions of Schur decomposition?
- junglebeast
- · Replies 3 ·
Graduate Proof about an odd degree polynomial
- chaotixmonjuish
- · Replies 2 ·
Graduate Is the Union of W and Its Orthogonal Complement Equal to V?
- xfunctionx
- · Replies 3 ·
Graduate Little bit confuse on vector space
- zhfs
- · Replies 3 ·
Undergrad Matrix Eigenvectors: How Many Are Linearly Independent?
- saadsarfraz
- · Replies 6 ·
Undergrad How to show two rings are not isomorphic
- samkolb
- · Replies 11 ·
Graduate I was wondering what Q/Z, or the rational numbers modulo the integers.
- zcdfhn
- · Replies 2 ·
Undergrad Newbie Asks: ONTO Surjection Help
- xfunctionx
- · Replies 2 ·
Graduate Universal Algebra: Why Isn't It More Widely Studied?
- tgt
- · Replies 1 ·
Undergrad Is this MathWorld page wrong? (it's about hyperplanes)
- samh
- · Replies 2 ·
Graduate Isomorphisms between cyclic groups? (stupid question)
- TaylorWatts
- · Replies 1 ·
Undergrad Two sets are isomorphic to each other
- zcdfhn
- · Replies 1 ·
Graduate Co/contra/in-variance of tensors in abstract algebra
- mnb96
- · Replies 4 ·
Graduate Non-Zero Orthogonal Vectors: Show m<=n
- squenshl
- · Replies 1 ·
Graduate Analytical solutions of cubic equations
- edgo
- · Replies 11 ·
Undergrad Are There Any Other General Forms of Prime Numbers Besides 6n+/-5 and 6n+/-1?
- chhitiz
- · Replies 15 ·
Undergrad What's the Difference Between x_transpose*x and x*x_transpose?
- flufypancakes
- · Replies 3 ·
Graduate How Can Ramanujan's Identity Simplify Summing Powers of Integers?
- zetafunction
- · Replies 4 ·
Undergrad What does it mean for a matrix to have rank 0 ( zero) ?
- sauravrt
- · Replies 4 ·
Graduate Theorem: Rank of a Matrix: Proof & Questions
- jeff1evesque
- · Replies 8 ·
Graduate Solving simultaneous linear difference equations
- Ad123q
- · Replies 3 ·
Undergrad Tips on finding the eigenvalues of a 3x3 matrix
- kamil
- · Replies 2 ·
Graduate Complex Vectors in Geometric Algebra
- mnb96
- · Replies 5 ·
Graduate A question about the rank of the sum of linear transformations
- sanctifier
- · Replies 2 ·
Graduate Prove: n ≡ 3 (mod 4) Cannot be Sum of Two Squares
- Abelian_Math
- · Replies 7 ·
Undergrad A^3 + b^3 = c^3 where a, b, c, are sides of a triangle?
- InigoMontoya
- · Replies 7 ·
Graduate Jordan Can. Form of Frobenius map
- geor
- · Replies 1 ·
Undergrad Vectors & Angles: Find Relationship between \alpha & \beta
- Apteronotus
- · Replies 3 ·
Graduate Is the Rank-Nullity Theorem Always True for Linear Operators?
- geor
- · Replies 3 ·
Graduate Structure of elements of the unitary group
- FunkyDwarf
- · Replies 3 ·
Graduate Suppose that{u1,u2, ,um} are non-zero pairwise orthogonal vectors
- squenshl
- · Replies 3 ·
Graduate Q(sqrt(2)) and Q(sqrt(3)) not isomorphic?
- geor
- · Replies 4 ·
Graduate Question about primes and divisibility abstract algebra/number theory
- AxiomOfChoice
- · Replies 6 ·
Graduate The generalized rank-nullity theorem
- quasar987
- · Replies 28 ·
High School Applications of Linear Inequalities?
- ScienceNerd36
- · Replies 2 ·
Undergrad Find a nonzero vector u with initial point P(-1.3.-5) such that
- dola
- · Replies 4 ·
Undergrad An small question about RSA algorithm
- zetafunction
- · Replies 3 ·
Graduate A question about the rank of a linear operator
- sanctifier
- · Replies 2 ·
Graduate How Does the Change of Coordinate Matrix Transform an Ellipse Equation?
- jeff1evesque
- · Replies 3 ·
Graduate Singular Values & Linear Transformations
- grawil
- · Replies 1 ·
Graduate What is the Limit of Prime Number Frequency?
- rede96
- · Replies 6 ·
Graduate Why Do Hermite Polynomials Form a Basis for P3?
- Moonshine
- · Replies 1 ·
Graduate Characteristic value of Fibonacci Sequences
- ramsey2879
- · Replies 23 ·
Graduate Determining Possible Values of N for Irreducible Polynomial in GF(2^2)
- classic_phone
- · Replies 17 ·
Undergrad Is Prime Number Density Uniformly Distributed Among Integers?
- Winzer
- · Replies 8 ·
Graduate True, false questions about matrices
- lukaszh
- · Replies 1 ·
Undergrad Is Span{u1,u2,...,um} a Subspace of R^n?
- squenshl
- · Replies 4 ·
High School Calculating Real Values of Expressions
- omega360
- · Replies 5 ·
Graduate Proof for Alternating Group Order |An| = ½(n!)
- Gear300
- · Replies 4 ·
Undergrad [(2*(n^2)+1] MUST be divisible by 3
- Almutairi
- · Replies 12 ·
Graduate Understanding Oblique Projection and its Geometry
- fact0ry
- · Replies 3 ·
Graduate Infinite dimensional representation of su(2)
- matematikawan
- · Replies 6 ·
Graduate Defining Addition Operator for Algebra of Rotations in d-Dimensions
- Gerenuk
- · Replies 7 ·
Graduate Alternating Groups: Even Permutations in Sn for n > 2
- Gear300
- · Replies 3 ·
Undergrad Sum of Distinct Primes: Fact or Fiction?
- chhitiz
- · Replies 5 ·
High School Dot product calculates what exactly?
- mjt99
- · Replies 14 ·
Undergrad Finding Solutions for na=0 (mod m) with Positive Integers m and n
- quasar987
- · Replies 4 ·
Graduate Is the Riemann Hypothesis Finally Proven?
- imag94
- · Replies 4 ·
Graduate Is u Algebraic Over K if u^2 is Algebraic Over F?
- jeffreydk
- · Replies 2 ·
Undergrad Invertible <=> F is 1-1 and onto
- jeff1evesque
- · Replies 1 ·
Undergrad What are the conditions for commuting linear maps?
- Marin
- · Replies 4 ·
Graduate Linear transformation defined by T(a + bx) = (a, a+b)
- jeff1evesque
- · Replies 2 ·
Undergrad Proving If Two Integers Don't Divide by 3: A Number Theory Challenge
- a.katerina
- · Replies 5 ·
Graduate GR Math: how does tensor linearity work?
- nonne
- · Replies 7 ·
Graduate Lorentz according to Bamberg & Sternberg
- Cantab Morgan
- · Replies 3 ·
Undergrad Understanding Singular Rectangular Matrices
- roadworx
- · Replies 1 ·
Undergrad Need books/articles with proofs of polygonal number theorem
- Wretchosoft
- · Replies 1 ·
Graduate Composition of Linear Transformation and Matrix Multiplication
- jeff1evesque
- · Replies 2 ·
Undergrad Is Matrix C Singular If Matrix B Is Singular?
- loli12
- · Replies 7 ·
Undergrad What Does a Strong Eigenvalue Signify in a System of Equations?
- LouArnold
- · Replies 3 ·
Graduate Proving the Inverse Element in Modulo Multiplication?
- ForMyThunder
- · Replies 7 ·
Graduate Groups do not necessarily have to have only one operation
- Gear300
- · Replies 6 ·
Graduate Morphism which preserves convolution?
- mnb96
- · Replies 3 ·
Graduate Is There a Geometrical Interpretation of Vector Pointwise-Product?
- mnb96
- · Replies 21 ·
Graduate Antisymmetric but non-symplectic
- Cantab Morgan
- · Replies 2 ·
Graduate Integer tuples with equal L1 and L2 norms
- boy_travels
- · Replies 1 ·
Undergrad Solving Quadratic Form Derivative: A Frustrating Challenge
- Cyrus
- · Replies 4 ·
Undergrad Finding the Number of Cubes in the Middle of a Decreasing Cube Tower
- chewtoy929
- · Replies 4 ·
Graduate Exploring Beal Conjecture Solutions: Common Prime Factor Examples
- vantheman
- · Replies 1 ·
Graduate Some linear algebra problems i with
- skybluekitty
- · Replies 6 ·