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.
Undergrad Simple intuitive/graphical interpretation of the Gauss-Seidel method
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Graduate Vector Space, dimensions and kernal rank
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Graduate Eigenvectors of commuting matrices
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Graduate Group Action on Set S: The Induced Homomorphism from g \in S_{5}
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Graduate Theorem concerning free abelian groups
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Graduate Module action sends zero to zero?
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Undergrad Can You Decrypt This Encrypted Text Using a Numerical Technique?
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Graduate Number of invertible/non-singular matrices over a finite field
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Graduate Isomorphism beetwenn vector space and sub space
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Graduate Stronger Goldbach-related conjecture
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Graduate Triangular Form for Linear Transformations: Finding Basis for Null Spaces
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Undergrad Why Did People Accept Imaginary Numbers Before Negative Numbers?
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Graduate Very very quick quiestion about D_4?
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Graduate How Many Quadratic Forms Exist on Fp^n for an Odd Prime p?
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Graduate Is There a More Efficient Way to Prove a Homomorphism in Z_10->Z_10?
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Graduate Knot Invariants and Related Topics - Tips for Learning
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Graduate Prove quotient ring of PID is PID too
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Graduate Primitive Matrix: Is M^k Positive?
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Undergrad Linear programming and the two phase method
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Undergrad Discovering the Image of a Linear Map: Methods and Examples
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Graduate Solubility of the General Linear Group
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High School Does .999~=1? A Beginner's Perspective
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Graduate Approximate finding nearest neighbor vectors
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Graduate Any implications of this diagonal element inequality?
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Undergrad Can You Find a Matrix Where Column Space Equals Null Space?
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Undergrad Prime Numbers in Cryptography: Uses & Benefits
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Graduate Mapping ( linear transformation)
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Graduate Proving the Converse: Finite Field with Cyclic Group of Units
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Graduate Proving Inequalities Involving Vector Space Dimensions
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Graduate What Does Closed Mean in the Context of Lie Subgroups?
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Graduate Order of groups in relation to the First Isomorphism Theorem.
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Graduate Proving the Properties of Pseudo Inverse and Transpose
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Graduate Generator of the additive gr. Z_m
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Graduate Please explain the different morphisms to me
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Graduate Generalized Cartan Matrix and Non-Semisimple Lie Algebras
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Graduate Can singular value decomposition be used for complex matrices?
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Graduate Isomorphisms between cyclic groups
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Graduate Proving the Relationship Between Perfect Numbers and Harmonic Mean
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Undergrad Solving Linear Congruence: 12x \equiv 1(mod5)
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Graduate Abstract Algebra Struggles: Navigating Levi and Malcev Theorems
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Graduate Any finite group has an even number of elements
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Graduate How Do Continuous Linear Representations of S^1 Function in Hilbert Spaces?
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Graduate Find Product Identity with ABCD & Triangular Variables
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Graduate Can you find the least-squares solution and projection of this matrix equation?
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Undergrad Precise definition of linear combination
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Graduate Can You Identify 10 Non-Isomorphic Groups with Orders 25-29?
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Undergrad Find Quadratic Numbers in Z3 - Marin's Help Request
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Graduate Matrix Identify involving Diagonal Matrix
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Undergrad Asking for Linear programming problems
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Undergrad Vacuous truth in regards to vector spaces
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Graduate Is every Toeplitz matrix invertible?
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Graduate What are the best resources for understanding Jordan Canonical Form proofs?
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Undergrad Why Are Half of the Permutations in Sn Even and the Other Half Odd?
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Graduate What is the Wedge Product in Theoretical Physics?
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Undergrad Find Eigen Values: Solve Char. Equation |A-#I| = 0 of Degree 3
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Graduate Have you encountered this famous matrix before?
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Graduate Is Every Prime > 3 a Sum of a Prime and a Power of Two?
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Undergrad How Many Ways Can a Natural Number M Be Expressed as a Sum of N Whole Numbers?
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Undergrad Scalar triple product, volume, and ordering
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Undergrad Equation of a plane (General and Point-Normal Form)
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Graduate Prime Number Theorem: Proving Equivalence of $P(x)$ and $Li(x)$
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Graduate Divisibility and Congruence problem
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Undergrad Are there any other twin primes with this property?
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Graduate Determining Normal Subgroups in S(3) - A Mathematical Puzzle
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High School Solve Equation Problem: 5x+6y=40 - Help & Hints
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Graduate Solving vv^T = M: Solve Unknown Vector & Matrix Equation
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Undergrad When to us dot versus cross product
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High School Are two vectors with opposite angles parallel to each other?
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Undergrad What Does the Mathematical Operation f:S --> R Mean?
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High School Understanding Matrix Transpose and Examples | Learn about Matrix Transpose
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Graduate How Can I Simplify This Linear Algebra Expression for Differentiation?
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Graduate How to Simplify the Term for a Group Exercise?
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Undergrad Is integration of polynomial a bilinear for
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Graduate Computing Quotient Space: Practical Example with Vector Spaces and Subspaces
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Undergrad Which algebraic rules altered for complex numbers?
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Graduate Exponential sums and congruences
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Graduate How Does the Infinite Sum of 1/j! Equal e?
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Undergrad Distance between point-plane & plane-plane
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Graduate Number Theory: Wilson's Theorem
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Graduate Order of an element in relation to the centre.
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Undergrad Adjacent Transpositions of Permutations.
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Graduate What is the most beautiful definition you've encountered?
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Undergrad What is the algorithm for generating numbers based on a given input?
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Undergrad What prerequisites are needed for studying linear algebra?
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Graduate Orders of products of group elements.
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Graduate Is There a Way to Regularize Euler Products on Primes?
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Undergrad Number Theory Advice: Struggling with Proofs in Course
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Undergrad Where is the flaw in this proof?
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Graduate How can we parametrize a surface with an angle and radius?
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Graduate Prove: X Contains at Most n(n-1)/2 Elements in Subset of a Group
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Graduate Determining whether homomorphism or not
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Graduate Proving Normalcy of H in Finite Group G
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Undergrad Vector Subspace or Linear Manifold.
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Undergrad Recommend a good Linear algebra text.
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Graduate Linear operator decomposition
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High School What is the Hermitian Conjugate of 5+6i?
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Graduate Exploring the Light Cone in Big Bang Clock by Roger Penrose
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Graduate Basis Vector Length: Unit Length & Mistakes to Avoid
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Graduate Would Gauss still make his comment today?
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Undergrad What exactly is a position vector?
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