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.
Square of the sum = Sum of the cubes
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Innner product for which derivative operator is bounded
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Do 3x3 Symmetric Matrices Form a Subspace of 3x3 Matrices?
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Open problems/Research Suggestions
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Subspace of Polynomials of degree 2
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Classifying Complex Matrices with Cubed Identity: What Does Similarity Mean?
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What is an Extreme Point in a Convex Set?
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Cyclic abelian group of order pq
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What is the significance of [e^([pi]i)]+1=0 in mathematics?
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Can explain to me what is mean of span?
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How is the Determinant of a Matrix Affected by Row Operations?
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Cycle Length of the Positive Powers of Two Mod Powers of Ten
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Connection of linear equation to span.
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Legendre symbol proof for (-5/p)
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Why would f(x) not be included in the determinant?
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Simplifying e^{At} to Matrix Form: A General Expression?
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Difference between linear and nonlinear transformation
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Proof: Basis Representation Theorem
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Finite Abelian Group: Showing Isomorphism & Subgroups of Order/Index p
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System equations - unique / no / infinite solution
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Solving Linear Equations with Poorly Conditioned Matrices
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Divisibility of powers of primes
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The normalizer of the normalizer of a p-sylow supgroup
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Linear Transformation S: Matrix A, Injective/Surjective
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What Happens to the Roots of Z(s) if the Riemann Hypothesis Holds True?
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Show that the two systems Ax=b RAx=Rb
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Linear transformation of a 2nd order pde
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Can a Complex Matrix X Solve the Column Subspace Problem?
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Square pyramidal numbers and Tetrahedral numbers
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Does n Divide (n-1)! for Composite and Prime Numbers?
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Proving Divisibility: How to Show b|a When b3|a2 - Helpful Tips"
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Riemann-Siegel Theta Function Approximation
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Rank of a 2-vector (exterior algebra)
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If a,m and n are positive integers with m<n
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Finding the number of elements in a cyclic group
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Precise relation between quaternion and vectors
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Proving Vector Subspace: V in W iff V+W in W
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Confusion regarding dot product of vectors(row matrices)
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Transform Grammer to Chomsky Normal Form
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Why Does \( g^{m!} \in H \) for All \( g \in G \)?
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Proving Matrix A is a Spanning Set of R4
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Simple number theory, divisibility
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How to determine if a subset of rank-1 matrices can sum to a full-rank matrix?
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What is the identity for a product of 2 LC Tensors in 4D with 3 summed indicies?
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Proving 'If (2^n)-1 is Prime, Then n is Prime' Using Groups
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Show that every quaternion z, where |z|= 1, can be expressed
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Ideals of direct product of rings are direct product of respective ideals?
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Proving Isomorphism Between Finite Group and Z_2 Using Group Theory
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Does o(ab)=lcm(o(a),o(b)) for Group G Elements a & b?
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Homogeneous System: Why Invertible A Has No Non-Zero Solutions?
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How does XOR qualify as a linear function?
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What's wrong with my algebra here? (dealing with determinants)
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Understanding Quaternion Multiplication for 3D FPS Camera: A Simplified Approach
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Trying to find an isometry T(X)=MX
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Basis for the nullspace of this matrix
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Bijection between Orbit and Stabilizer
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Does anyone know of any sites with a good general overview of linear algebra?
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Linear Operator and Self Adjoint
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Composition of Linear Transformation and Matrix Multiplication
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Show that det(A) is the product of all the roots of the characteristic
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Tidying Up Vectors: Correct Representation or Too Mathy for Physics?
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Why is the cross product defined and used in this specific way?
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Eigenvalues and one on diagonal matrices 1-
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Solve Group Theory Problem - Prime Order of G must be p^n
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Prime counting function- no error.
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The prime numbers distribution in R
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Vector Space vs Field F Vector Space
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Characteristic or a finite field is a prime number?
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Isomorphism between Dihedral and Symmetric groups of the same order?
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Can vector spaces and their subspaces be visualized effectively?
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Is there a relationship between right cosets and orbits in group theory?
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Proving Invariance of Transformations and the Linearity of a Specific Operation
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Carmichael Numbers: Understanding Their Significance and Properties
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Why Are the 7 Sylow 2-Subgroups Intersection Trivial?
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Just wondering about the structure of a determinant
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Prove that if A is an invertible matrix and AB = BC then B = C.
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Classification of the representations of the Lorentz algebra
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Is tr(A A^T) Equal to tr(A^T A)?
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Anyone familiar with Abel's insolubility of the quintic proof
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Where Can I Find Linear Algebra Exam Papers?
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Basis of Nullspace: Linear Algebra & Differential Equations
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Skew Symmetric Determinant Proof
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Injection, surjection, and bijection
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What Are the Basics of Game Theory in Morton D. Davis' Introduction?
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Proving Linear Injectivity in Finite-Dimensional Vector Spaces
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How can the inverse of a Householder matrix be verified using the given proof?
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Suppose A^k=0 for some integer k is greater than or equal to 1
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The order and signature of a k-cycle
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Clearer Understanding of Permutation and Transpositions
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Problem regarding computation of factor groups.
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How to Solve a Homogeneous System with Norm Constraint?
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Linear Algebra Problem: n, k Positive Ints, W, V, T
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Exponential of (Markov Chain) Transition matrix
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Characteristic polynomial for nilpotent matrix.
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Solving Gen. Eigen Probs w/ Real Sym Indefinite A & Definite B
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Symmetries and shift of coordinates in 3D
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Finite Field Elements: F2n (1-8)
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Eigen values/vectors large symetric matrix
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What is the dot product of tensors?
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Square root of 1 with mod how to prove it?
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