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.
High School Questions about the basic properties of Integers
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Graduate Is There a Topological or Geometrical Approach to the Riemann Hypothesis?
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Undergrad Finding A to the power of n without using eigenvalues
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Undergrad Find the projection of the vector (1,1,0,1)
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Undergrad How to Make Initial Guesses for Parameters in a Nonlinear Model?
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Undergrad Why is phi(n) always an even number?
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Graduate Understanding Semi-Direct Products in Group Theory and Lie Algebras
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Graduate Help with proof of theorem related to Fermat's.
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Graduate Coordinate Transformation & Jacobian Matrix
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Graduate Localization in integral domains
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Graduate Category theory - right adjoint problem
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Graduate Goldbach's Conjecture - Proof (better link)
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Undergrad Is Every Root of 2 Higher Than 1 Irrational?
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Graduate Solving a Question on Abstract Algebra - Help Needed
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Undergrad What Are the Advantages of Base Twelve Over Other Number Bases?
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Graduate What is V-representable and how is it used?
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Graduate Greatest common divisor | Relatively prime
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Undergrad Straight Line from polar co-ordinates
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Graduate Find the Best Cryptography Books for Beginners - Tips and Recommendations
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Undergrad Why Are Rings in Abstract Algebra Important?
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Undergrad Need general algorithm for finding dual bases
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Graduate Vector Cross Product: R4 Vectors & Permutation Symbol
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Graduate Group A is a quotient of Group B ?
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Graduate How Does a Linear Transformation T with T^2 = T Affect Vectors in V?
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Graduate How to show SU(n) is a normal subgroup of U(n)
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Graduate Calculate the abeliazation of the group G=<a,b>
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Graduate Getting started with symmetry groups
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High School Matrix Multiplication for Vertical Vectors
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Undergrad What happens to the eigenvalues when a constant is multiplied to a matrix?
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Graduate Does the Greatest Common Divisor of a and b Divide c in the Equation Ax+by=c?
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Graduate A simple question on representations and tensor products
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Graduate What Is the Symmetry Group of the Equation \( x^4 + a^2 = 0 \)?
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Graduate Is the given Pauli matrix in SU(2)?
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High School Sum of Digits & Divisibility by 3: Explained
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Graduate Question on cyclic groups (addition mod n)
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Undergrad Understanding Associativity of Multiplication Modulo n
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Graduate Proving G cannot Equal HK When K Contains a Conjugate of H
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High School Dissected Number Law: Math Poetry & Formula
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Graduate Physical applications of matrix congruence?
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Graduate What Are Fundamental and Unitary Representations in Mathematics?
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Graduate Further questions on the basics of Lie Algebras
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Undergrad For all solutions of n and m that satisfy.
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Graduate Understanding P-adic Numbers: A Primer
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Graduate Singular values of a matrix times a diagonal matrix
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Graduate PF tensor product space equation
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Graduate What is the equation for representing a linear operator in terms of a matrix?
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Undergrad Matrix Rotations: Article for Rigorous Description | PF
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High School How to Solve a Rectangle Perimeter Inequality in Algebra
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Graduate Can This Mathematical Equation Be Solved for All Prime Numbers?
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Graduate A question on irreducible representation
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High School Add/Subtract Linear Equations to Solve for Variable
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Graduate What are the properties of rotation axes in N-dimensions?
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Graduate How is the Tensor Product of Vector Spaces Constructed?
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Graduate Is a Superalgebra with Only Three Basis Possible?
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Graduate Triangular Number Equation: a*T(b) + b^2*T(a-1) = b*T(a) + a^2*T(b-1)
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Graduate Help Prove Real Eigenvalues of Symmetric Matrix
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Graduate Perpendicularity on complex vector space
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Graduate Is There a Name for the Decomposition of a Partitioned Orthogonal Matrix?
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Graduate Constructing Ring over Monoid: Questions & Answers
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Graduate Calculating Prime Number Counts Using PI(N) Formula up to 10^23
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Undergrad Solving for infinitely many solutions in a linear system with matrices
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Graduate On the multiplicity of the eigenvalue
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Graduate Proof dim(U+V)=dim U+dim V - dim(U∩V)
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Graduate Covariant derivatives in Wolfram Math
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Graduate Is the Transitivity of Ideals Always Guaranteed in Rings?
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Undergrad Programming libraries for C linear algebra
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Graduate Unpacking the Objects in the Category of Sets: Cardinality and Distinctions
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Graduate Can an Equation Solver Handle Lattice Functions with Join and Meet Operators?
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Graduate Direct Sum vs Direct Product of Rings: Irish & Rosen
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Undergrad Visualizing Subspaces and Subsets (in R3)
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Graduate Is There a General Formula for Finding the Nth Power of a 2x2 Matrix?
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Graduate Discussion group for abstract algebra? I'd be interested
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Graduate Is Godel's incompletness theorem complete?
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Graduate What is a Vector? Geometric & Algebraic Definitions
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Graduate Analyzing a Proof of Phi-Function Multiplicativity
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Graduate Prove Lagrange Polynomials Basis of $\mathbb{R}_{n}[X]
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Graduate Is a projection operator hermitian?
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Graduate How do transformations in group G relate to curves in Lie algebras?
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Graduate Number Theory proof linked to decimals
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Graduate How Can We Prove the Extension of Bezout's Identity?
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Undergrad How Does the Euclidean Algorithm Scale with Multiplication Factors?
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Graduate Questions about proof of the division article.
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Graduate Eigenvalue Theorem: Proof of Det(A - λI_n)=0
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Graduate Delta function for grassmann numbers?
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Graduate Finding Jordan forms over the complex numbers
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Graduate Question about spherical harmonics
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Graduate What Impact Do Large Mersenne Primes Have on Mathematical Research?
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Undergrad Retrieving angle of rotation from transformation matrix
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High School Writing down Mathematics with Arrays
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Graduate Is {v1,...,vk} Linearly Independent Given vi.vj=0 When i≠j?
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Graduate Coordinate Transformations Question
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Undergrad Difference between dimension and rank
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Undergrad Solve Linear Algebra Exam: Find a Basis of U & Orthogonal Complement
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Undergrad The worst case for trial division factorisation of n?
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Graduate Eigenvalue of 3D rotation matrix
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Graduate How Can You Prove This Number Theory Function?
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Graduate What is the simplified inverse formula for A + B?
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Graduate R3: U & Uperpendicular Vector Logic
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Undergrad Definition of Orthogonal Matrix: Case 1 or 2?
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Graduate Decrypting RSA: Using d_K, d_p, d_q, M_p, M_q and x_p,x_q to Prove y^d=x mod n
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