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.
High School Set of linear equations and simultaneous linear equations
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Undergrad Solve Equation: 3^x-2^y=1 - Positive Integer Solutions
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Undergrad Properties of systems of linear equations
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Undergrad How to find detA if A is 4X4 matrix
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Graduate Solutions of an equation in a PID
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Graduate Finite Subsets of N: Proving Countability
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Undergrad Can S5 contain a subgroup of order 7?
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Graduate Defining Notion of Congruence for Quadratic Integers in Q[sqrt(-d)]
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Undergrad Beginner's doubt regarding vector spaces.
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Graduate Proof involving surjective/onto and image/preimage of sets
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Graduate A group of finite order can be infinitely large?
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Undergrad What is the relationship between a matrix and its transpose in linear algebra?
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Graduate Finite field is algebraically closed under constraint?
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Graduate Prime Factorial Proof: Existence of a Prime Between n and n!
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Graduate Showing Gal(E/Q) is Isomorphic to Z4
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Graduate Simple Rings: Commutativity and Identity
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Graduate Prove Symmetry Group of Regular Polygon Has 1 & 2 Dim Irreducible Reps
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Graduate Lie Algebra differentiable manifold
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Undergrad Understanding the Abstract: Defining Groups in Abstract Algebra
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Graduate How to prove the order of x,y in this case
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Graduate Does positive-definite order imply determinant order?
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Undergrad Linear Transformations: Explaining the Theorem
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Undergrad Why Do Irrational Numbers Exist?
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Undergrad How Does Squaring a Matrix Affect Its Determinant?
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Graduate How does exp relate a Lie group to its Lie algebra?
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Undergrad Linear Algebra: A Basis for a Finite Dim VS
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Graduate Prime values of integer polynomials
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Undergrad A question about factoring and factors
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Graduate Understanding UFD's with Quadratic Integer & Norm Questions
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Graduate What is the Difference Between Factor Space and Equivalence Classes?
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Graduate Orthogonality & Dual Spaces: Exploring Physical Quantities in Vector Spaces
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Undergrad How to prove that a set is a group? related difficult/challenge quesyion.
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Graduate Playing with Small Natural Numbers Network
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Graduate Derivative of a function with matrices
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Graduate Proving Congruence Classes in Q[√-3] with Prime Divisor λ
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Graduate Is there a probabilistic approach to number theory conjectures?
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High School Adding 3.6, 4.4, and 5.8: Keeping the Sum 13.8
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Undergrad Projecting a vector onto a plane problem
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Undergrad Tensor Analysis and Linear Algebra, what's the difference
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Graduate Existence of polynomial in R^2
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Undergrad I've never felt dumber: me understand Fibonacci identity.
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Graduate Why C([0,1]) and C_{o} are not isomorphic?
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Graduate Understanding Associates and Norms in Algebraic Integers
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Graduate Show one ring not isomorphic to the other
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Graduate All Eigenvalues Lie on the Unit Circle
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Undergrad Finding the General Term for Perfect Squares
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Undergrad Tips For Algebraic Manipulation
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Graduate Find and Test Primes using the Chinese Remainder Theorem and Binary Search
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Graduate Interior Product: Definition, Inner Product & Isomorphism
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Graduate Proof of Goldbach,Polignac,Legendre,Sophie Germain conjecture.pdf
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Undergrad Why is 3AB+P Set to Zero in Cardan's Cubic Equation?
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High School How do I draw the vector A-3B+C in relation to like vectors?
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Undergrad How Do These Linear Algebra Concepts Align with Definitions and Vector Spaces?
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Undergrad How does this number system conversion algorithm work?
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Graduate Irreducible Representations and Class
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High School What is the Best Way to Solve This Algebraic Brain Teaser?
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Graduate Perron formula for matrix powers
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Graduate Nearest block diagonal matrix to a given matrix
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Graduate A More Abstract Definition of an Inner Product Space?
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Graduate Prove Minkowski Inequality using Cauchy-Schwartz Inequality
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Graduate Eigen-vectors/values under row flipping
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Graduate Is it possible to simplify the RH problem?
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Graduate Eisenstein's Irreducibility Criterion
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Undergrad How Do You Prove This Linear Transformation?
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Graduate How to Find Subgroups of Index 2?
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Graduate Infinitely many primes in Q[Sqrt(d)]
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Graduate Pythagorean Theorem: Relationships in Euclidean Space
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Undergrad Linear Combination: Can 1 0 1 0 be Combined?
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High School How do you multiply permutations?
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Graduate Is There a Simpler Way to Construct a Linear Functional Given a Linear Operator?
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Graduate A very challenging question regarding in basic algebra group theory?
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Undergrad Invertability as a substitute for looking for linear independence
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Undergrad Linearly Dependent Sets: Answers to Your Questions
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Graduate Normed division algebras: geometrical limitation
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Undergrad Maximizing Determinant in 3x3 Matrix with 0/1 Entries
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Undergrad How to OLS several lines at once?
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Undergrad Understanding the Proof of Solution Sets in Linear Systems
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Graduate Solving Complex Number Roots for e^(pi*z)^2 = i | Help Needed
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Undergrad Software that outputs a general polynomial formula for a finite series
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Graduate Group of order pq && nonnormal subgroup
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Graduate Are G & H Isomorphic? Prove Answer | Group of 2x2 Matrices
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Undergrad Twin Prime Sieve: Calculate All Twins Less Than N - Todd's Version
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Undergrad Glossary for Linear Algebra + Quick Tips
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Graduate Permutations of basis elements in Clifford Algebras
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Undergrad Calculating powers of matrices
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Undergrad Finding Prime Numbers in 2010: Is It Possible?
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Graduate "Does Finite Group Contain Subgroup of Index 2 if Element has Order 2?
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Graduate Quaternions and associated manifolds
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Undergrad Understanding Matrix Ranks and Null Space: A Comprehensive Guide
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Undergrad Linearizing Equations: Finding Square Root of x from Plotted Data
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Graduate Meaning of colon in group theory, if not subgroup index?
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Undergrad Is there a way to differentiate between numbers
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Graduate Power System Analysis: Node Elimination Explained
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Graduate What is the operator between A A^ in A vec = A A^
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Graduate Understanding the Dimension of a Variety in Algebraic Geometry
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Graduate Which Interpolation Method for Complex Numbers Is Most Accurate?
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Graduate Sum of 2 normal numbers still normal?
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Undergrad Relationship of an invertible matrix in spanning set and linear independence
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Graduate Dimension of SL(2,H), SL(2,R), SL(2,C), SL(2,O) - Proving 15 & 45
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Graduate Linear Independence: Polynomial Example
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