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 Confusion about linear equations
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Graduate Is the direct sum of cyclic p-groups a cyclic group?
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Graduate Finiteness of a converging random number series
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MHB Proving Abelianity in Groups with $g^{2} = 1$: A Simple Proof
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MHB Find subgroups of a group for a given order
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Graduate Enhance Your Calculus Skills with Recommended Books for Riemann Zeta Function
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Graduate Series of exponential prime reciprocals
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Graduate Linear transformations as tensor.
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Graduate Lie group actions and submanifolds
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Graduate Casting 2x2 matrix with unit determinant in another form
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Graduate Proving Cyclic Decompositions: Let T be a Linear Operator on V
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MHB Answer Sub Vector Spaces: U, W & V - Correct Answers
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Symmetery of a finite sequence of numbers
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Undergrad Understanding the Product of Elementary Matrices
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Undergrad A system of equations with more unknowns than equations
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Undergrad How to compute the rotation matrix
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MHB What Does Reducibility Tell Us About the Nature of Irreducible Elements?
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High School How do you find the coordinate of a vector with the unit vector?
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Undergrad How to Find the Smallest Integer with Specific Remainders?
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Graduate Sub-quotients and Gaussian Integer rings
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MHB Is a Mixture of Three Chemical Solutions a Group?
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Graduate Computing Integral Closure of Rings - Brian's Query
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Graduate Why is SL(2,Z) the Outer-Automorphism Group of Z^2?
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Graduate The fastest algorithm for linear equations
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Graduate Calculating Digits of Pi in Base-16 Using the Wolfram Formula
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Graduate AB=I vs. BA=I: Investigating Matrix Equality in Field F
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MHB Solution to complicated systems of three variables using matrices
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Graduate Exploring the Riemann Hypothesis and Analytic Continuation
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Graduate Estimating eigenvalue of perturbed matrix
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MHB How to Express Vectors of a Regular Hexagon in Terms of Given Components?
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Undergrad How do you count unique elements when multiplying integers from 1 to 1000?
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Graduate Test Lie Group: Show it Forms a Lie Group
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Undergrad Linear Algebra Symmetric Matrix Set Question
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MHB Lagrange thm: orbits as equivalence classes and cosets
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Graduate Splitting field of irreducible polynomial
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Graduate Elliott-Halberstam conjecture and the Riemann Hypothesis
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Graduate Primality Criterion for F_n(132)
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Graduate Ker A Subset Ker B: Finding a Reference
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Graduate Distribution of power congruence classes
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Graduate Approximation for -1 exponent expression
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Undergrad What is the significance of adding a constant in augmented coefficient vectors?
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Undergrad Change Basis: Reasons to Write Vector in Rn Other Than Standard Basis
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Graduate Abstract Algebra: Groups and Subgroups
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Undergrad Is Theta Commonly Used to Represent the Zero Vector in Linear Algebra?
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Undergrad Generating full sequence with complex numbers.
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Undergrad Clear up some cross product confusion for me
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Graduate General Linear Group of a Vector Space
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High School Complex Numbers - Forms and Parts
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Undergrad A few questions on abelian and normal subgroups
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Graduate Is Every Group of Order 15 Cyclic?
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Undergrad What is the mathematical topic related to finding gaps in a sequential list?
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Graduate Mathematically Precise Definition of Unit
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Undergrad How to show an isomorphism between groups?
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MHB More questions on psd and pd of matrices
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Undergrad How Do CAS and Programmable Calculators Evaluate Derivatives?
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Undergrad (Algebra) Isometries on the complex plane
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Graduate Algebraic Extensions, vector spaces
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Undergrad Can we still diagnolize a matrix if its eigenvectors matrix is singular?
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Graduate Polynomial Rings (Units and Zero divisors)
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Graduate Abstract algebra question (math olympiad)
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Undergrad How to Normalize a simulated dataset to fit the actual dataset?
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Graduate Question about sum of primes and sample size
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MHB If A is nnd, then show that I + A is pd
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Graduate Question on Remark in Axler's Linear Algebra
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Graduate Linear Algebra Technique for Identifying Impactful Elements in a System
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Graduate Proof of commutative property in exponential matrices using power series
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Undergrad Why Use Matrices for Linear Transformations?
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Graduate Explicitly describing the singular locus from a finite set of polynomials
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Graduate What are some other ways to solve the equation x^3+y^3+z^3+t^3=1999?
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Graduate Can graph spectrums be derived from incident matrices?
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Graduate Infinite-dimensional vector space question
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Undergrad Modern Algebra: Permutations and Cycles
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Graduate Discovering Ramsey Primes Under 1 Million
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MHB Degrees of a Field Extension: How to Find Basis and Degree of a Field Extension
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Undergrad Question about showing that a set is a vector space
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MHB Clearing fractions with row operations.
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Graduate Basic Symmetric Group Representation Question
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Graduate Counting function for powers of primes
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Graduate Understanding Young Diagrams from Physics 751: Solving Eqn 4.14
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Graduate Intro to Abstract Math Question about divison of integers.
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Undergrad Can the matrix be differentiated with respect to a vector
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Graduate Direct product of faithful representations into direct sum
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Graduate Multiple sets of linearly independent vectors
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Graduate Finding Positive Integers for Irrational Number Interval
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Graduate Are There Criteria for Proving Co-Primes of Vectors?
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Undergrad Finding the distance between a point and a plane using dot products
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Graduate How many elements of order 50 are there in this group?
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Undergrad Are There Two Types of Irrational Numbers Based on Decimal Expansion Patterns?
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Undergrad Counting with composites Please advise
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MHB Find LU-Factorization of A with 1's Along Main Diagonal of L
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Graduate Find rotation to align two vectors by rotation about two arbitrary axes
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Graduate What U(n) or SU(n) or their multiplication isomorphic with SO(8)?
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Undergrad What Is the Span of a List of Vectors in Linear Algebra?
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Undergrad Does ef|g Imply e and f Are Both Factors of g?
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Graduate Prime Ideals of direct sum of Z and Z
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High School Linear Equations (General and Standard forms: From Wikipedia)
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Undergrad (x^k) - 1 = (x - 1)*(x^(k-1) + x^(k-2) + + x + 1)
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Undergrad Is Every Square Integer of the Form 4n or 4n+1?
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Undergrad Calculating Tilt Angle for Mounted iPad Using Accelerometer Readings
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Undergrad What is the purpose of <-i> in a complex number subgroup?
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