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 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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Graduate Is there a pattern to the placement of maximal ideals in Z[X]?
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