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.
Graduate Connection between A(N-1) and SU(N)
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Graduate What's the Order of GL_2(F_5)?
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Graduate Definition of Irreducible Group & Its Relation to GL(n,F)
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Graduate Divisibility Problem: Fast Algorithm for Large Integers A and B
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Undergrad Find T([3,1]) for Linear Transformation R2 to R3
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Graduate What is the cyclic subgroup order of GL(2,p^n) generated by the given matrix?
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Undergrad To what number b/w 0 and 4 inclusive
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Undergrad What is Probabilistic number theory , could we rely on it ?
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High School When Does Matrix Multiplication Not Work?
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High School A quick question about scalar product of vectors
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Graduate What Are the Idempotents of the Ring Z/100Z?
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Graduate Unify principles of two formulae
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Graduate Find Basis for Ker (T) with S = {1, 0, 1, 0}
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Undergrad How do I use Least Square Fitting to Calculate the Best Line of Fit?
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High School Is MIT's Linear Algebra Video Lecture a Must-Watch for Beginners?
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Undergrad What is the signed angle between two 2-dimensional vectors?
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Graduate Uncovering the Connection Between Rings and Involutions: A Homomorphism Puzzle
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Undergrad But we assumed p and q are mutually prime, a contradiction.
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Graduate Choose subset of n+1 from 2n set
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Graduate Is a Self-adjoint Operator Always Real?
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Undergrad Entries in every row add to zero (nullspace/determinant question)
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Undergrad Inverse of Matrix Sum Formula: Solving for Upper Triangular Matrices
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Undergrad Linear Dependence: Complex Equations & Conjugates
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Graduate [((n-1)/2)]^2 = -(-1)^[(n-1)/2] (mod n)
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Undergrad Need help finding equation of a plane
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Graduate Closedness question about adjoint image
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Graduate Vector/Matrix Differentiation: Where to Put the Transpose?
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Graduate Is R a Finite-Dimensional Vector Space Over Q?
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High School Really dumb question: why do we use e_i for unit vectors?
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Undergrad Can (n-1) be Divisible by n for Any Natural Number n ≥ 5 and Not Prime?
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Graduate Proving GL(n) Center Diagonal Matrices
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Undergrad How Does Matrix Symmetry Affect Row and Column Ranks?
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Undergrad Solve Extraneous Roots: Why Do They Arise?
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Graduate Exponential bound for Euler's zeta function?
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Graduate Moore penrose inverse expressed as geometric product?
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Graduate Geometrical algebra's: simple equation
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Undergrad Reducing Number of Multiplications in a Loop
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Undergrad GCD(a+h,b+k) - Formula Given GCD(a,b) & GCD(h,k)?
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Graduate Lebesgue measure and scale freedom
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Graduate Germain Primes and the Homogenous Integer Function Q(x,y)
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Undergrad Why Might My Palindrome Calculation Be Incorrect?
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Graduate Sum of two prime ideals is prime ?
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High School How Can I Perform Quadratic Regression on an HP 50g Calculator?
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Graduate Understanding Quotient Vector Space: Collapsing to Zero
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Graduate Can a 4x4 matrix with two vanishing eigenvalues have a square root?
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High School Solving Whole Integer Solutions for Easy Math Quesiton 3 (x^2)=a^2
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Undergrad How to solve second-order matrix diffrential equation?
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Graduate What is the English translation for Einsatzunghomöomorphismus in German?
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Undergrad Linear Algebra: Solving Systems of Equations with Wedge Product?
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Graduate Is the Intersection of Even and Odd Function Subspaces Only the Zero Function?
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Graduate Proving the Sum of a Series using Fourier Series Technique
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High School Can You Count the Zeros Between Two Numbers?
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Graduate How to Show that PL is a Matrix in Vector Projection?
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Undergrad Prove Commutation Property for 2x2 Matrices D
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Graduate X in dA => x isolated or strict limit (Topological space)
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Graduate Prove Sum of Series Property: a_n = Ba_{n-1} - a_{n-2}
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Graduate Completeness of irreducible representations
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Undergrad Is Elementary Number Theory More Challenging Than Calculus and Linear Algebra?
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Graduate How Can You Prove the Commutative Property of Vector Addition in Rn Spaces?
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Undergrad Why Do Monotonous Functions Have Only One Unique Solution?
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Graduate Reduction of a blade pseudovector quotient?
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Graduate Prove that phi(a^n - 1) is divisible by n
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Graduate Prove that a^t = -1 (mod p^k) for
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Graduate Linear Programming Theory, Optimality Criterion Question
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Graduate Infinite Sum Question (q-harmonic?)
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Graduate Projection Operators on Vector Spaces: Clarifying Mistakes
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Graduate Proving Vector Space Subspace Union: Tips and Assistance"
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Graduate Proving 2Z is Non-Isomorphic to 3Z
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Undergrad PROOF: Independent vectors and spanning vectors
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Undergrad Need help on matrices using cramer's rule
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Undergrad Recommendation for textbook on number theory
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Undergrad Questions about twin prime numbers
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Undergrad Overview of Matrix Invertibility: How Can We Prove That a Matrix is Invertible?
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Graduate Does Closure of Y Guarantee Continuity of Projection in Norm Space X?
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High School Uncovering the Mystery of 5 & 6: A Puzzle
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Undergrad How Can You Maximize the Product of Integers Given a Fixed Sum?
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Undergrad Proof of n(n-1)/2 as the Number of 2-Subsets in an n-Set
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Undergrad Proof of Venn Diagram for Sets A, B & C
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High School Master Arithmetic with Comprehensive Tables
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Graduate Doran/Lasenby. Commutator and symmetric products?
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Undergrad Finding Eigenvalues for a Matrix with One Real Eigenvalue of Multiplicity 2
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Graduate Artin's Conjecture on Primitive Roots: Perfect Squares
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Undergrad What is the relationship between subspaces V and W if V is contained in W?
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Undergrad Reverse Partition grouping problem
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Graduate Problem with transformations in Rijndael's finite field
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Undergrad Calculating Hamming Distances in 5-Bit Binary Sets
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Graduate Finding powers of a square matrix
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Graduate Direct Image Sheaf at Generic Point of an Irreducible Component
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High School Finding a Parabola using three points, no equations
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Graduate How Do Elements of Direct Product Groups Commute in Particle Physics?
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Graduate How can diagonal matrices help solve eigenvalue problems?
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Undergrad Are All Bases Sets of Orthogonal Vectors?
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Undergrad Modular Algorithm for Solving Equations with Unknowns Modulo 100
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Graduate When Does a Map Induce an Isomorphism or Homomorphism?
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Graduate Geometric algebra solution for intersection of planes in RN
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Undergrad What is a Vector: Sadri Hassani's Maths Physics Reading
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Graduate I was searching for the definition of localization of a ring .
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Undergrad Proving Subsets: A Venn Diagram Approach
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Graduate Constructing Character Tables: Methods & Invariant Subgroups
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Graduate Is M a Subspace of V if S and T are Linear Maps from V onto W?
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