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.
What is Direct Sum? - A Definition Explained
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Orthogonal Matrices: Rotation & Reflection
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Eigenvalues for a matrix with equal and opposite diagonal entries?
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Does the Union Notation in Abstract Algebra Allow for Multiple Matches for x?
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Infinite-dimensional matrix multiplication
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Prove both sufficiency and necessity
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Is an Explicit Formula for Beilinson's Regulator Map Feasible?
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Is this the end of the Riemann Hypothesis?
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Continued fractions for (ir)rationals
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I am looking to find some lecture notes on upper division linear algebra
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Riemann Zeros and Harmonic Frequencies
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Understanding the Algebraic Mistake in y = x^x Function for x < 0
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Did Ramanujan's Mysterious PI Formula Have a Mathematical Explanation?
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Square root of a rotation matrix
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Struggling with Linear Transformation Part Two?
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Prove that an integer with digits '1' is not a perfect square.
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M+k=n: Examining Linear Equations Relationships
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Don't understand this simple vector space problem
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How Do Symmetrical Base n and Base m Decimals Relate?
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What is the field with one element ?
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Parametric equations for a helical pipe
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Understanding Ring Relationships and the Frobenius Automorphism
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What is the relationship between the exterior and cross products?
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Understanding Algebraic K-theory through Quillen's Plus Construction
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Calculate Rotational Body Rate for Vector Motion | Vector A & B
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How Does Infinity Manifest in Algebraic Concepts and Applications?
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Solving differential equations through matrix
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Finding Equation for Two Dataset Relationships
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Butis really so easy? (Möbius inversion)
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Multiplication of primitive roots
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Can All Eigenvectors of a Matrix Be Zero Vectors?
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Computing rank of a matrix over a finite field
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Module Problem: Existence and Sub-Module of N
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Calculating Pi with Polygons: Is Converting to Degrees a Valid Method?
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Subvarieties in algebraic geometry
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A question that should use pigeon hole principle.
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Is R={(x,y,z,w) belongs to R^4; x+y+sz-w=s^2-2s} a subspace of R^4?
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Solving (p-1)(p^n+1)=4m(m+1) for odd primes p and positive integers m and n
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Finding Jordan Basis and Form for a Matrix with Zero Eigen Value
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How can the normality of a subgroup be proven when the group has a finite index?
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Generalized jordan curve theorem
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Riemann Zeta Function Zeros: Spacing and Convergence
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Find Number of Generators in Z_(p^r)
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Vector Equation: Can I Divide Vectors?
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Sylow Theorem Part 2: Find Order of Subgroup PQ
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Is x^22 - 3x^11 + 2 Irreducible?
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Failure of the sylow counting argument
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Help with definitions in linear algebra
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Im soooooo close to solving this problem (Rings)
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Proving the Subgroup Theorem for Nonempty Subsets of a Group
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Proof that sum of 3 roots of rationals is rational etc
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Unitary equivalence vs. similarity
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Why is the prime counting function seemingly contradictory?
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What Is the Use of a Space Covering?
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What Are the Key Differences in Symmetries of Triangles and Squares?
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Count & Describe Automorphisms of Z_3 (Set of Integers Modulo 3)
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Erdos' Series & Prime Number Theorem Implications
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Sequence of ratios of primes and integers
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Trouble Understanding Geometric Algebra: Seeking Guidance
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Integrating n.curl F and n^grad(phi) on a Closed Surface
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How Can Steinitz Replacement Theory Convert Set B into Set A?
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What determines whether or not a matrix is stable?
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Prove that the list (x^3, sin(x), cos(x)) is linearly independent in V
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Vector Spaces: A Comparison of Two Bases in V3(R)
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What Geometrical Objects Do Subspaces of V3(R) Represent?
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Proving asymptotics to sequences
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Is the First Digit of a Sequence of Numbers Always Periodic? (without prefix)
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Understanding the Significance of pi_1 as the Sole Homotopic Functor
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Is the inner product a bilinear function in vector spaces?
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Can the Homotopy Extension Property be applied to all dimensions and spaces?
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Vector Spaces, Dimension of Subspace
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How to Calculate Permutation Powers with Functional Notation?
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Solving Polynomial Algebra in Z_3[x] Modulo 1+x^2
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Short description about dihedrals?
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A Question to Trouble Even the Best of You
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Orbit Type Strata of C^3: 2-torus Action (a,b)
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Finding Greatest Integer Divisor for Primes on GRE Math Practice Test
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Proving the Constructibility of Numbers: Hints and Proofs
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Proving Simplicity of Lie Algebra L: Basis Elements and Ideal Structure
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More docile dfn of local path-connectedness?
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Isomorphism O: L2(E) to (E,E*) for Vector Spaces over Field K
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Eigenvalues And Eigenvectors Problems
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Gram-Schmidt Orthonormalization: Modifying Vectors & Spanning Space
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Multiplying non-disjoint permutation cycles
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What is the principal representation?
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Weierstrass theorems and primes.
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Can a Change of Basis Matrix be Pre-multiplied with a Transformation Matrix?
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Intermediate Value Theorem for Polynomials
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Easy Questions, Difficult Answers
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What are some practical applications of linear algebra in electrical circuits?
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Does Euler's Product Over Primes Converge for s > 1?
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The Klein bottle using the Euler caracteristic + orientability caracterisation
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Is the sum of Non-trivial Zeros of the Riemann Zeta Function calculable?
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Can Divisibility of Powers Imply Divisibility of Bases?
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Exact Sequences: Intuition & Theory
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Not clear about the change of basis in new space
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Is the distribution of almost-primes known.
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Greatest Lower Bound: Prove It!
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3x3 similar matrices defined by characteristic and minimal polynomials
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Deducing Properties of M^2=I Given an nxn Matrix
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