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 Proving Sum of Two Primes is Never Twice a Prime
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Graduate Exponential of nonconstant matrix
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Undergrad In how many ways can I write n as a sum of integers?
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Graduate When Should Direct Product and Direct Sum Be Used in Group Theory?
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Undergrad Inverse matrices with scalar multiplication.
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Graduate Unique representation in graded modules
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Graduate What is the meaning of \textbf{nn} in matrix multiplication?
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Graduate Convolution with a normalised function
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Undergrad Can you Prove that {2}_{}an+1 = _{}an _{}an+2 =(-1)n for the Fibonacci series?
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Graduate Is there a formula for calculating the derivative of the largest eigenvalue?
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Graduate Position-Space Kinetic Energy Operator: Does Representation Matter?
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Graduate The Tetraktysal Kissing Triangle (TK_n) & Lower Bounds of Kissing Numbers to D=10
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Graduate Understanding the Limitations of the Projection onto a Subspace Equation
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Graduate General form of an inner product on C^n proof
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I don't know how to make a thesis, how to present it, and my
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Graduate Proving Double Inner Product of Derivative of 2nd Order Tensor w/ Another
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Graduate Question about inner product spaces
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Graduate How to Find a Basis for W in P4[x] Using the Gram-Schmidt Process?
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Graduate Group action on cosets of subgroups in non-abelian groups
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Undergrad DIVISIBILITY CONGRUENCE question
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Graduate Category Theory Used in Physics.
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Graduate I tried with comparing highest exponents
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Undergrad What's the difference between polynomials and polynomial functions?
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Graduate Linear least square method for singular matrices
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Undergrad Can the Prime Factorization of A + B Reveal Insights About Coprime Numbers?
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Graduate Proving 2+2=4 Using Field Axioms
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Graduate Relation between Primes: Proving (2m-1, 2mn-1/2m-1) = 1
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Graduate Are the eigenvectors of A and A^T related?
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Graduate What Can be Said About the Kernel of a Tensor Product of Linear Maps?
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Undergrad Invertibility of a product of invertible matrices
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Graduate Are Units in R[x] Exactly the Same as Units in R When R is an Integral Domain?
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Graduate Tensor product vector spaces over complex and real
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Graduate How to Prove a Congruence in Modulo pq with Distinct Primes?
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Graduate System of 4 quadratic equations with 4 unknowns
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Graduate Torsion-free modules over a Discrete Valuation Ring
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Graduate How to Derive the Inverse of the Sum of Two Operators?
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High School No real number x such that x<|0| where
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Undergrad Dimension of a Set: Definition & Explanation
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Graduate Composition Of Functions Implies Equality
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Graduate Elegant proof of fermats last theorem 2. try
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Graduate Is Every Rootless Polynomial Over a Finite Field Prime?
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Graduate Quaternions and metric of the 3-sphere
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Undergrad Rearrange Formulae to Find u, v, and a
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Graduate Can the Fermat's Last Theorem be expanded to higher powers?
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Graduate Formula for the Number of Units in a Ring Modulo a Prime Power
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Graduate Distance between invertible elements of a normed algebra
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Undergrad How to prove injection and surjection for a function with 2 variables?
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Graduate Understanding SO(1,3) and Its Applications in Mathematics and Physics
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Undergrad Linear Algebra: basis and matrices
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Undergrad Linear differential operator / linear transformation
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Graduate Unique Factorization: Proving for Polynomials in x
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Graduate Elegant proof of Fermats Last theorem?
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Graduate Group of rigid rotations of cube
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Graduate Can two consecutive odd primes sum to a product of three integers?
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Graduate Proving Simultaneous Diagonalizability of nxn Matrices A and B with AB = BA
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Undergrad How Can a Number Be Written as a Sum of Squares or Primes?
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Graduate Did I make a mistake in finding the third generalized eigenvector for A?
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Graduate Isolating vector b from equation in form (axb)xa
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Graduate Why are the tensor products over Q and Z_n equal?
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High School Difference between a standard and metric?
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Graduate Show that all simple groups of order 60 are isomorphic to A5.
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Undergrad Mathematical notation for elementwise multiplication
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Undergrad What is a Regular Transition Matrix
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Undergrad How do I solve for the unknown matrix Q in this equation?
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Graduate Algebra of Physical Space vs. Spacetime Algebra
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Graduate Proving G Abelian iff G/Z(G) is Cyclic
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Graduate Prove Rank & Similarity of Matrices A & B
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Undergrad Factorization & Congruence to 4: Proven or Researched?
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Undergrad Linear Transformations,Find basis of kernel and range
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Undergrad Help with solving set of equations
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Graduate Eigenvalues and eigenvectors of a matrix product
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Graduate Are Non-linear Functions Also Homomorphisms Between Modulo Groups?
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Graduate When is a group the direct sum of its normal subgroups?
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Graduate Definition of integral domain from Herstein
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Undergrad Relationship among LCM, GCD, and coprimes
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Graduate How to Use the First Isomorphism Theorem to Show Z/(4Z) is Isomorphic to Z4?
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Graduate Infinite Dimensional Vector Space
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Graduate Abelian Group Order: Find Largest Possible # of Subgroups
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Graduate Proving Isomorphism of Z4 / (2Z4) to Z2
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Graduate Congruence Class Relationships in \mathbb{Q}[\sqrt{3}]
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Graduate A Tetrahedral Counterpart to Ramanujan-Nagell Trinagular Numbers?
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Undergrad Looking for a proof using matrices
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Graduate What Are the Surrogate Number Congruences for Moduli Other Than Its Factors?
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Graduate Group Theory: Is A a Left Coset of G?
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Graduate Integral of Log det(1-A(x).B(x)) wrt x
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Graduate Product of Groups: Understand Max Subgroups & Taking the Product of Groups
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Undergrad What Are the Possible Forms of the Kernel in Linear Transformations from R3?
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Graduate Does the Matrix xyTA Have More Than One Non-Zero Eigenvalue?
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Graduate Homomorphism Construction Using Symmetry Groups
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Graduate 26 is unique between a square (5^2) and a cube (3^3)
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Graduate Simple Abelian Groups: Can They Be Classified?
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Graduate How to Determine the Order of an Element in a Factor Group?
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Graduate How can the ideal generated by ab-ba force a ring to commute?
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Graduate Can a non-symmetric matrix be positive definite?
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Graduate Solving Quadratic Field Problems with Quick Tips - PhysicsForums
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Undergrad Matrix of order supose 3*3 is in span of R3
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Undergrad Frequency of Greatest Integer quotients
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Graduate What is the orbit of 1 in the permutation group G?
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Undergrad Fortran Code for Solving Linear System w/ Least Square Method
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Undergrad Matrices with all zero eigenvalues
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