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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.
Graduate Explicit and Implicit Matrix Notation Question
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Graduate How to calculate a zero of the Reimann zeta function?
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Graduate Are There Exceptions to the Goldbach Conjecture for Even Numbers of the Form 2p?
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Undergrad When Should Physics Students Use Eigenvectors?
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Graduate Does g'Bg Compare with g'g When B is a Positive Definite Matrix?
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Graduate Complete residue system Question
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Graduate What is the Formula for Entries in an Nxn Hilbert Matrix?
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Graduate Totient Function and phi(n)=phi(2n) for odd n
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High School Question regarding vector (cross) product
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Graduate How can Euler's totient function be proved without using prime factorizations?
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Undergrad Proving/Disproving: U and V Intersection in Rn
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Graduate Proving Euler's Phi Function: Any Help Appreciated!
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Undergrad Can a Matrix Have Multiple Eigenbases?
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Graduate Exploring the Consequences of Galois Group Isomorphism to Quaternions
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Graduate Did Paul Cohen settle the Continuum Hypothesis?
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Undergrad F(x)≡0 (mod 15) Find all roots mod 15
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Graduate Understanding Prime Power Proofs
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Graduate Hadamard Product for Riemann's Xi Function
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High School [Remember Your Squares] Something I Found
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Graduate Unitary Matrix Property: |Uij|2 = UijU*ji
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Graduate About this strategy to prove Riemann Hypothesis
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Graduate Are Distinct Left Cosets and Right Cosets in a Group Related?
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Graduate Is the Proof in Dummit and Foote's Chinese Remainder Theorem Inductive?
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Undergrad Natural Numbers & the Pythagorean Theorem
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Undergrad Every natural number is sum of powers of 2
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Undergrad Are Linear Transformations of Linearly Dependent Sets Also Linearly Dependent?
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Graduate Solving the Lie Bracket Question in Quantum Mechanics
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Best Calculator for Matrix/Linear Algebra?
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Undergrad Dot product as matrix products?
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Undergrad Non-square matrix and linear independence
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Undergrad Why is Cramer's rule for determinants not 'symmetric'?
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Undergrad How to understand it inituitively?
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Undergrad Proving Vector Space Axioms: (-1)u=-u
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Graduate How Do Eigen Vectors and Eigen Values Change with Dimensionality?
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Undergrad Gauss seidel method of convergence
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Graduate Is there a name for this construction?
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Graduate Questioning the Invertibility of a Linear Operator T
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Graduate Trivial zeros of the Riemann zeta function
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Graduate Understanding Bounded Operators in Quantum Mechanics
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Undergrad Understanding Subspace Basis and Counterexample
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Graduate Is There Always a Positive Solution for the Linear Diophantine Equation ax+by=c?
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Undergrad Finding the angle of unit vectors
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Undergrad What's the use of interchanging two rows when solving a matrix?
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Graduate Question about irrational numbers
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High School Why 8 Decimal Places? The Surprising Reason Behind Finite Numbers in Roots
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Graduate What is the Operator Method for Deriving the Euler-Maclaurin Formula?
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Graduate Alternating group is the unique subgroup of index 2 in Sn?
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Undergrad Subfield of the field of complex numbers
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Undergrad Choose the signs of vectors as to maximize modulus of their sum.
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High School Prove two vectors are perpendicular (2-D)
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Undergrad How to tell if something has a common factor
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Graduate Proving the Rank Equivalence of Adjoint Operators
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Graduate Elementary property of maximal compact subgroup
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Graduate Understanding Double Inner Product Calculation in Multivariable Calculus
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Graduate Why Does the Tensor Product Become a Wedge Product in Dolbeault Cohomology?
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Graduate Is Every Rank n-1 Matrix in Mn(F) Similar to a Specific Elementary Matrix?
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Undergrad Do Linear Diophantine Equations Always Have a Solution?
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Undergrad Adjoint Operator: Proving Unique Adjoint Transformation
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Graduate Can Goldbach and Polignac's Conjecture be Proven with a Sieve Method?
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Undergrad Use an augmented matrix to prove
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Graduate Representation of finite group question
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Graduate Challenges in Proving Zeros of Zeta Function: Lack of Tools or Creativity?
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Undergrad Prove sum of two subspaces is R^3
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Undergrad GCD in PROOF - Solving the Puzzle
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Undergrad Additive Identity in Linear Algebra: V + 0 = V
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Graduate Ax≡ay (mod m) iff x≡y (mod m/(a,m))
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Graduate Pythagorean Primes and Gaussian Primes, divisibility question
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Undergrad Proof of Common Divisor of Relatively Prime Integers
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Undergrad 2x2 matrix A has only one eigenvalue λ with eigenvector v
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Graduate Number theory and theoretical physics
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Undergrad How to 'undo' mod, or solve equation with a mod.?
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Undergrad How to Prove Rank(A) Equals Rank(ATA)?
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Graduate Linear Independence of Vectors over C
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Graduate Matrix Decomposition: Solving for B and D in A = B*inv(B+D)?
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Undergrad Is There an Equation for Finding All Prime Numbers?
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Graduate How to genarelize the vector product in three dimensions to higher dimensions?
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Undergrad Forward substitution in this case? Is it as simple as I think it is?
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Graduate Proving Abelian Property of Groups Using the Hypothesis ab=ca
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Undergrad What Are the Best Books for Studying Linear Algebra?
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Graduate Proving the Uniqueness of Base Representation for Integers
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Undergrad Aren't all equations defining a field?
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Undergrad Shortcut to find if a matrix (nxn) is singular or not?
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Graduate Are Coupled Linear Equations Always Solvable Analytically?
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Undergrad Is trace equal to rank for idempotent matrices?
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Undergrad Determinant Question: Understanding Row Interchange & Cycles
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Undergrad What to revise for Linear Algebra?
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Undergrad What the hell are vector components?
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Graduate What Does the Equation from the Anti-Aliasing Section in GPU Gems 2 Represent?
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Undergrad Proof Help: Prove (A∪B)-C ⊆ A∪(B-C)
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Graduate Primes in set of rational numbers
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Graduate Principle of Induction and Principle of Well-Ordering
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Graduate Help deriving integer sequence formula
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Graduate Coefficients in expansion of product(1-x^a, a=1n)?
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Graduate What Transformation Matrix Defines the Metric Tensor?
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Graduate HiSo I'm looking at presentations.I think that I understand that
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Graduate Uniqueness of the roots of a polynomial equation
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Undergrad What is the proof of Euler's function?
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Graduate Irreducible representation of S3
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Graduate Recursive series for sum of 2 powers
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High School Questions about the basic properties of Integers
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