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.
How to find the order of a matrix?
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How are these two equal?(equation, inequality)
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Nilpotent Operator: Can e be Less Than or Equal to dim V?
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Prove that (n-1)^2 divides n^k -1
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Significance of calculating non primes in sequence.
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Why is every finite Integral Domain a field?
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What is the geometric interpretation of matrices A^{T}A and AA^{T}?
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Is Fractual Geometry Theory Real?
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Is t*x = x*t^(-1) for Elements of Order 2 in Any Group?
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Basic Question That Will Eat Your Brains
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Simultaneous eigenspace of non-commuting matrices
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Russell's and Frege's Definition of Number
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Is It Possible to Map Complex Numbers to Real Numbers Using a Unique Function?
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Proving Determinant of NxN Matrix All Rows & Cols Sum to 0
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Prove x^2=1 if and only if the order of x is 1 or 2
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Vector Spaces, Polynomials Over Fields
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Square of the Riemann zeta-function in terms of the divisor summatory function.
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Does Mathematical Induction Hold for Infinite Sums?
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How Does the Generalized Eigenvector Formula Work with Duplicate Eigenvalues?
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Calculating Eigenvalue for 3D Matrix
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How does one calculate the Tensor product of two matricies?
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System of Equations: Is Solutions Infinite?
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No Solution to 3 Linear Equations Using Cramer's Rule
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Quick one: \varphi{(p)}- \varphi{(p-1)}= [\varphi{(\varphi{(p)})}]^3
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Finding Inverse Matrix by Definition
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Does the Cross Product Have Deep Mathematical Significance?
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How can i find a bijection from N( natural numbers) to Q[X]
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How Do Proofs for Vector Spaces Over Finite Fields Work?
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Prime Divisibility Property: Proving p^2 divides a^p - b^p for Integers a and b
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Defining Bilinear, Multilinear Maps (Tensor Prod., maybe)
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Do Irreducibles Induce Algebraic Extensions?
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Relatively prime and independent confusion
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Simple Matrix Help: Calculate Offsets
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Linear Least Squares: Solving 3D Data Points in C++
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Elegant solution to this vector equation?
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Elementary published (but possibly flawed) proof of FLT
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Equivalence relation on Vector Space
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Internal Direct Sum of Commutative Rings: Is I + R/I = R?
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Spectra of T and T* when T is a bounded linear operator
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What are the interpretations of the dual map in linear algebra?
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Unravelling the Mystery of the (0,3) Symmetric Tensor
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Analytically Continue RZF Using Gamma Function: Step By Step Guide
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The clue to the proof of Riemann hypothesis
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Can Division by Zero Be Defined in a More General Number Group?
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Value of a strange continued fraction
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What exactly is an eigenfunction
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Finding the Minimal L1 Norm Solution for Ax=b: A Linear Programming Approach
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Flip operator's equality to Double Fourier
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Coprime Polynomials in K[X] and C[X]
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Orthonormal Bases: Determining Coefficients for Arbitrary Vector
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On the definition of symmetric matrices
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Algebraic Dependence of (x,z): If (x,y,z) & (x,y) Dependent
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What are the geometric implications of inner product spaces?
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Is Differentiation an Operator That Forms a Group?
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Non-linear LinesHow to Avoid Lying, without Confusing.
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Is a vector space a Set?(Beginner's doubt)
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Why Are Finite Field Sizes Always Prime Powers?
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Getting most non-zero values near diagonal of matrix
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Matrix/vector : (A-B)s = 0 does not imply A=B
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How is Larger Than Defined for a Complex Number in Hermitian Product?
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Are there methods for inverting non-square matrices under constraints?
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Am I Making an Obvious Mistake with These Eigenvectors?
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How to Prove by Mathematical Induction that 6 Divides (k^2+5)k for All k>=1?
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Hestenes' Geometric Algebra. What good is it?
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How to Extend and Calculate a Basis for the Whole Space
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Why are spinors interesting, from a Clifford algebra perspective
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Is Ax=wKx considered an eigenvalue problem in advanced linear algebra?
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Dimension of A(Y) and Height of p in Ring Let A = k[x,y,z]
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Mobius: Representations of SU(2,1)=U(1,1)
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Left, Right Inverses: Multiple Left Inverses and No Right Inverse?
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Group generation and normal subgroups
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General Solutions to a Linear System
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Simple Q about calculating Nullspace
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Is This the Correct Identity for Natural Numbers?
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How to Prove a^m ≡ a^{m-φ(m)} mod m?
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Finding Modulus Relations in Equations
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Unsolvable Linear Algebra System: Need Help with Least Squares Method
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Why do groups capture the essence of symmetry?
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(Non-)Cartesian Categories and Diagonal Arguments
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Odd Primes Congruent to 1 or 3 mod 4: Proof
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Properties of the Absolute Value
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Studying Linear Algebra: Rn vs. Rm
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Compute determinant of a skew-symmetric matrix
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Representations of a noncompact group
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Physical representation of irrational numbers
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Simple Proof of Fermat's Last Theorem and Beal's Conjecture
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Universal morphism to forgetful functor Ring->Ab
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Can a matrix of linear forms always be written as the sum of rank one matrices?
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Is V* ≠ {0} in Normed Spaces Easily Demonstrable?
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Exploring Prime Numbers & Square Roots
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Can Rank Two Tensors Be Formed Using Dot Products?
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Prime Indices & the Divisors of (p'_n - 1): A Lattice-Related Question
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Why modulo m1 and modulo m2 implies modulo [m1, m2]
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Proving the Solution a=4 and n=2 for a^(1/n) = √a; a>0, n>1
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Kronecker Product: Solving AA` with w & D
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Solving a Tough Math Problem: Any Ideas?
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Why is one root rejected when solving equations with multiple solutions?
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Calculating Lie-Algebra Branching Rules
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How to Convert Grammar to Chomsky Normal Form?
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Hamel basis and infinite-dimensional vector spaces
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