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.
How do I find helpful resources for understanding linear algebra concepts?
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Need help w/ Fibonnaci and Golden Ratio proof
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How to handle an ill-conditioned matrix?
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Question on the trace of two matrices
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Can You Prove This Inequality for Positive Real Numbers a,b,c,d with Sum of 1?
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Four Coplanar Points: Solving for Unknown X
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The square of a formal laurent series
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A question about an infinite product
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Addition and multiplication in Z/nZ
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Pythagorean Triangles with one side equal s and hypothenuse equal 2 s+1
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Is sqrt(n!) Irrational for n > 2?
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EQUALITY OF ROW AND COLUMN RANK (O'Neil's proof) Is there smt wrong?
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This was from google's interview question.
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Mod(prime) is a field mod(non-prime) is not
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Showing that a certain subgroup is the kernal of a homomorphism
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Thought - Euclidean Space R^(-n)
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Is the Group Law * Associative and Commutative in Algebraic Structures?
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Solving Modular Arithmetic Equations in Z5
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Interesting number theory-related problem.
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Can the u part of the matrix be written differently in state space analysis?
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Having Trouble Adapting Discrete Mathematics
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Degree of Rational Function Field
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What Are the Applications of Multilinear Maps in Mathematics and Science?
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Question about Grassmann Integral
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Question on commutativity of operators
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Algebraic Geometry Question - on ideals of algebraic sets
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Why do irrational numbers result in uneven divisions?
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Two primes in a Primitive Pythagorean Triangle
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Efficient Equation for Counting Even Numbers from 1 to n
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Unusual usages of linear algebra
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What Are the Key Concepts of Lie Groups in Group Theory?
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How does Jordan form connect to the kernel of a matrix?
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Same eigenvalues = same jordan form ?
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Converting Numbers from Base to Decimal
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Is There an Isomorphism Between ℤ and ℤ[x]?
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Axis of rotation, plane of reflection
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Mysterious orthogonal complement formulas
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What Changes in Representation Theory Over Non-Complex Fields?
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Help What is wrong with this proof?
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Linear independence and decompostion
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Vector with minimal angle to a set of vectors
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Infinite groups with elements of finite order
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Is ℤ3 a Subring of ℤ? Understanding the Mathematical Relationship
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Showing S = ℤ Using 13 & 1000 in Subring
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Proof of Homomorphism Property: Field Condition Implies 1-1 or Zero Mapping
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Proof Help: Prove ||x-y|| = ||x|| ||y|| ||x bar - y bar||
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How to generalize determinant and cross product
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What Makes Normal Subgroups Fundamental in Group Theory?
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Programming details on the computation of the Riemann zeta function using Aribas
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Understanding the Zeta Function and Riemann Hypothesis: A Beginner's Guide
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I am a 9th grade student and having problems solving this question
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Adjacency matrices - real matrices or tables?
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Proving S(m*(2n-1)+n)=0 mod S(n)
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Are there different types of zero in mathematics?
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Inverse of a matrix + determinant
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A little renewed Disproof of Riemann hypothesis
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Fundamental Theorem of Abelian Groups
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Linear Algebra Question on Calculating Current
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Definition of induced representation
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Characteristic polynomial coefficients
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Matrix Multiplication: Calculating (AB)C and A(BC) Using the Formula
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Is Tab∂cf = Tac∂bf Valid in Tensor Notation?
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Solution for Arithmetics in Z: m2+1\equiv0[5]
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Divide by Matrix: Is it Possible?
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Proof by Induction: Divisibility by 17
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Integer solution to exponential diophantine equation
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Why were eigenvalues and eigenvectors defined?
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Application of Linear Algebra to Physics
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Solving Systems of Congruences when mods not pairwise relatively prime
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Cumulative sum of Goldbach Partitions
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Is there a pattern to the placement of maximal ideals in Z[X]?
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Solving Rotational Matrix: 6 Parameters from 3 Angles
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GCD of a and b Prime and Odd: 1 or p?
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DIHEDRAL GROUP - Internal Direct Product
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Regarding the definition of orders (as in subrings)
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Lagrange multipliers with vectors and matrices
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Can We Generate Gl(n,R) Using Shear Maps?
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Determining Rotation Axis from Matrix: Eigenvalue and Eigenvector Analysis
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The set of all continuous functions
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Most significant bit (MSB) in ASCII code
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Matrix diagonalisation computations
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How Can I Solve a Modulo Equation with Large Values?
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A particular subgroup of a Free Group is normal
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Understanding proof about A(adj A) elements
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Can Symmetries on the Riemann Sphere Deepen Our Understanding of Geometry?
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Inductive Proof (+linear equation in four variables)
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Test Primes: Find an Exception for P > 3? - Ken Ramsey
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Several Dimensional Multiplication
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Prove: a^x|b^y & xt-yz\geq 0 then a^z|b^t
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Does one need to know elementary number theory to study Abstract Algebra?
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Can This Matrix Represent a Linear Transformation?
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Is there an isomorphism from G to (G/M)x(G/N) with the kernel M\bigcapN?
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When Does the Exponential Function Reach Its Maximum Value?
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Determining if a vector b is a linear combination of vectors a1,a2,a3
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Exhibiting a homomorphism f: G-> Aut(G)
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Why is the term 'norm' used instead of 'absolute value' in vector spaces?
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Is H a Subgroup of N if |H| and |G:N| are Relatively Prime?
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The logic problem faced in linear algebra
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Eigen Values of Positive Definite Matrix
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How Does the Jordan Normal Form Arise from Cyclic Subspaces and Direct Sums?
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