Linear and Abstract Algebra Forum

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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.
Primitive roots & Reduced residue system
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Second and third isomorphism theorem
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Is a Prime Number Always a Factor of a Product of Integers?
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Proving 1. $\leftrightarrow$ 2.: A Matrix Invertibility Challenge
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Finding Chen's Paper: "On the Representation of a Large Even Integer
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Braket Algebra Refresher: Free PDF Download
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What is the Proper Way to Take Derivatives of Tensors?
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Order of a mod m & quadratic residues
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Inversion of this Vandermonde matrix
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How Do You Calculate the Derivative of a Matrix with Respect to a Scalar?
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What Is the Analytic Continuation of the Riemann Zeta Function?
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Matrix Multiplication Explained: Why & What's the Pro?
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Proof of Inf. Riemann Zeta Function Zeros at re(s)=1/2
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What Are the Left Cosets of H in S_3?
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Proof of Prime & Congruences: Solving x^2\equiv -2 \mod p
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Proving Congruences of Primes: Show 2^((p-1)/2) = +1 (mod p)
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Is n Prime if Zero Products and Unique Solutions Exist in Modulo n Arithmetic?
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Wilson's Theorem Proof Help for p-1 to p-r Modulo p
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Galois Extension: Proving L is Galois Over K
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Spectral theorem for self-adjoint linear transformations
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How to calculate a zero of the Reimann zeta function?
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Are There Exceptions to the Goldbach Conjecture for Even Numbers of the Form 2p?
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When Should Physics Students Use Eigenvectors?
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Does g'Bg Compare with g'g When B is a Positive Definite Matrix?
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Complete residue system Question
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What is the Formula for Entries in an Nxn Hilbert Matrix?
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Totient Function and phi(n)=phi(2n) for odd n
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How can Euler's totient function be proved without using prime factorizations?
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Proving/Disproving: U and V Intersection in Rn
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Proving Euler's Phi Function: Any Help Appreciated!
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Can a Matrix Have Multiple Eigenbases?
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Exploring the Consequences of Galois Group Isomorphism to Quaternions
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Did Paul Cohen settle the Continuum Hypothesis?
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F(x)≡0 (mod 15) Find all roots mod 15
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Understanding Prime Power Proofs
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Hadamard Product for Riemann's Xi Function
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[Remember Your Squares] Something I Found
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Unitary Matrix Property: |Uij|2 = UijU*ji
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About this strategy to prove Riemann Hypothesis
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Are Distinct Left Cosets and Right Cosets in a Group Related?
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Is the Proof in Dummit and Foote's Chinese Remainder Theorem Inductive?
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Natural Numbers & the Pythagorean Theorem
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Every natural number is sum of powers of 2
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Are Linear Transformations of Linearly Dependent Sets Also Linearly Dependent?
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Solving the Lie Bracket Question in Quantum Mechanics
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Best Calculator for Matrix/Linear Algebra?
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Non-square matrix and linear independence
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How to understand it inituitively?
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Proving Vector Space Axioms: (-1)u=-u
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How Do Eigen Vectors and Eigen Values Change with Dimensionality?
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Is there a name for this construction?
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Questioning the Invertibility of a Linear Operator T
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Trivial zeros of the Riemann zeta function
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Understanding Bounded Operators in Quantum Mechanics
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Understanding Subspace Basis and Counterexample
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Is There Always a Positive Solution for the Linear Diophantine Equation ax+by=c?
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What's the use of interchanging two rows when solving a matrix?
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Question about irrational numbers
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Why 8 Decimal Places? The Surprising Reason Behind Finite Numbers in Roots
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What is the Operator Method for Deriving the Euler-Maclaurin Formula?
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Alternating group is the unique subgroup of index 2 in Sn?
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Subfield of the field of complex numbers
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Choose the signs of vectors as to maximize modulus of their sum.
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How to tell if something has a common factor
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Proving the Rank Equivalence of Adjoint Operators
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Elementary property of maximal compact subgroup
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Understanding Double Inner Product Calculation in Multivariable Calculus
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Why Does the Tensor Product Become a Wedge Product in Dolbeault Cohomology?
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Is Every Rank n-1 Matrix in Mn(F) Similar to a Specific Elementary Matrix?
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Do Linear Diophantine Equations Always Have a Solution?
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Adjoint Operator: Proving Unique Adjoint Transformation
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Can Goldbach and Polignac's Conjecture be Proven with a Sieve Method?
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Use an augmented matrix to prove
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Representation of finite group question
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Challenges in Proving Zeros of Zeta Function: Lack of Tools or Creativity?
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Prove sum of two subspaces is R^3
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GCD in PROOF - Solving the Puzzle
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Additive Identity in Linear Algebra: V + 0 = V
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Ax≡ay (mod m) iff x≡y (mod m/(a,m))
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Pythagorean Primes and Gaussian Primes, divisibility question
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Proof of Common Divisor of Relatively Prime Integers
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2x2 matrix A has only one eigenvalue λ with eigenvector v
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Number theory and theoretical physics
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How to 'undo' mod, or solve equation with a mod.?
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How to Prove Rank(A) Equals Rank(ATA)?
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Linear Independence of Vectors over C
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Matrix Decomposition: Solving for B and D in A = B*inv(B+D)?
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Is There an Equation for Finding All Prime Numbers?
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How to genarelize the vector product in three dimensions to higher dimensions?
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Forward substitution in this case? Is it as simple as I think it is?
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Proving Abelian Property of Groups Using the Hypothesis ab=ca
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What Are the Best Books for Studying Linear Algebra?
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Proving the Uniqueness of Base Representation for Integers
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Shortcut to find if a matrix (nxn) is singular or not?
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Are Coupled Linear Equations Always Solvable Analytically?
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Is trace equal to rank for idempotent matrices?
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Determinant Question: Understanding Row Interchange & Cycles
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What to revise for Linear Algebra?
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What Does the Equation from the Anti-Aliasing Section in GPU Gems 2 Represent?
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Proof Help: Prove (A∪B)-C ⊆ A∪(B-C)
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