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 Good Books on Optimization Theory
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Graduate Showing that a map from factor group to another set bijective
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Undergrad Confusion regarding the basis of A and the basis of Range of A
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Graduate Problem involving eigenvalues/vectors
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Undergrad Why Does This Adjacency Matrix Theorem Work?
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High School Best method to solve simultaneous equations?
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Graduate Determining groups not sure how to prove it.
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Undergrad For which L(s) will be these vectors linearly dependent?
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Undergrad How to get the derivative of this convex quadratic
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Graduate Simple Q about direct product representation of a group
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Graduate Gauss elimination algorithm for matrix inversion
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Undergrad Understanding the Complex Inner Product: Definition and Importance
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Graduate Eigenvector for Complex Eigenvalue help
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Graduate Projection onto the kernel of a matrix
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Undergrad Online tools for Gaussian elimination / LU decomposition ?
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Undergrad Maximum of arithmetic operations needed
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Undergrad Linear Algebra: Solve B^(-1) with A, C, D
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High School Can Two Planes Meet at a Point Instead of a Line?
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Graduate Test if 2 transformations produce equivalent relations to a reference
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High School Is 0.9 Recurring Truly Considered Equal to 1 in Mathematics?
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Graduate Positive Set in an Ordered Integral Domain
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Graduate Can You Help with These Abstract Algebra Proofs?
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Graduate What Are the Clopen Subsets in a Metric Space?
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Undergrad Why Are Complex Numbers Essential for Finding Nth Roots of Numbers?
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Graduate Does φ(N) Form a Normal Subgroup in G' When φ is a Homomorphism?
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Undergrad What can I use to solve a general matrix?
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Undergrad How do I find helpful resources for understanding linear algebra concepts?
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Graduate Need help w/ Fibonnaci and Golden Ratio proof
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Graduate How to handle an ill-conditioned matrix?
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Graduate Question on the trace of two matrices
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Graduate Can You Prove This Inequality for Positive Real Numbers a,b,c,d with Sum of 1?
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Undergrad Four Coplanar Points: Solving for Unknown X
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Graduate The square of a formal laurent series
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Graduate A question about an infinite product
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Graduate Addition and multiplication in Z/nZ
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Graduate Pythagorean Triangles with one side equal s and hypothenuse equal 2 s+1
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Graduate Is sqrt(n!) Irrational for n > 2?
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Graduate EQUALITY OF ROW AND COLUMN RANK (O'Neil's proof) Is there smt wrong?
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Undergrad This was from google's interview question.
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Graduate Mod(prime) is a field mod(non-prime) is not
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Graduate Showing that a certain subgroup is the kernal of a homomorphism
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Graduate Thought - Euclidean Space R^(-n)
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Graduate Is the Group Law * Associative and Commutative in Algebraic Structures?
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Undergrad Solving Modular Arithmetic Equations in Z5
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Graduate Interesting number theory-related problem.
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Undergrad Can the u part of the matrix be written differently in state space analysis?
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Undergrad Having Trouble Adapting Discrete Mathematics
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Graduate Degree of Rational Function Field
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Graduate What Are the Applications of Multilinear Maps in Mathematics and Science?
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Graduate Question about Grassmann Integral
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Graduate Question on commutativity of operators
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Undergrad Algebraic intuition vs geometric intuition
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Graduate Algebraic Geometry Question - on ideals of algebraic sets
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Undergrad Why do irrational numbers result in uneven divisions?
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Graduate Two primes in a Primitive Pythagorean Triangle
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Undergrad What is the Infinity Norm & Why Use It?
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Undergrad Efficient Equation for Counting Even Numbers from 1 to n
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High School Question about basic concept of solving system of equations
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Undergrad Unusual usages of linear algebra
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Graduate What Are the Key Concepts of Lie Groups in Group Theory?
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Graduate How does Jordan form connect to the kernel of a matrix?
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Graduate Same eigenvalues = same jordan form ?
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High School Converting Numbers from Base to Decimal
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Graduate Is There an Isomorphism Between ℤ and ℤ[x]?
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Graduate Axis of rotation, plane of reflection
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Graduate Mysterious orthogonal complement formulas
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Graduate What Changes in Representation Theory Over Non-Complex Fields?
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Graduate Help What is wrong with this proof?
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Undergrad Linear independence and decompostion
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Graduate Vector with minimal angle to a set of vectors
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Graduate Infinite groups with elements of finite order
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Undergrad Is ℤ3 a Subring of ℤ? Understanding the Mathematical Relationship
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Graduate Showing S = ℤ Using 13 & 1000 in Subring
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Graduate Proof of Homomorphism Property: Field Condition Implies 1-1 or Zero Mapping
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Graduate Proof Help: Prove ||x-y|| = ||x|| ||y|| ||x bar - y bar||
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Graduate How to generalize determinant and cross product
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Graduate What Makes Normal Subgroups Fundamental in Group Theory?
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Graduate Programming details on the computation of the Riemann zeta function using Aribas
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Graduate Understanding the Zeta Function and Riemann Hypothesis: A Beginner's Guide
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High School I am a 9th grade student and having problems solving this question
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Graduate Adjacency matrices - real matrices or tables?
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Graduate Proving S(m*(2n-1)+n)=0 mod S(n)
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Undergrad Are there different types of zero in mathematics?
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Undergrad Inverse of a matrix + determinant
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Graduate A little renewed Disproof of Riemann hypothesis
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Graduate Fundamental Theorem of Abelian Groups
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Undergrad Linear Algebra Question on Calculating Current
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Graduate Definition of induced representation
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Graduate Characteristic polynomial coefficients
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Undergrad Matrix Multiplication: Calculating (AB)C and A(BC) Using the Formula
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Graduate Is Tab∂cf = Tac∂bf Valid in Tensor Notation?
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Graduate Solution for Arithmetics in Z: m2+1\equiv0[5]
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Graduate Divide by Matrix: Is it Possible?
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Undergrad Proof by Induction: Divisibility by 17
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Undergrad Why Linear Programming at all?
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Graduate Integer solution to exponential diophantine equation
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Undergrad Why were eigenvalues and eigenvectors defined?
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Undergrad Application of Linear Algebra to Physics
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Undergrad Solving Systems of Congruences when mods not pairwise relatively prime
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Graduate Cumulative sum of Goldbach Partitions
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