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