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.
Lowest Odd Multiple of 99999 > 99999
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Pleas, suggest a advanced+serious Number Theory book
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Squared norm in Clifford Algebras
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Can the Dot Product of Two Unit Vectors Ever Be Less Than 1?
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Importance of a vector space containing the origin.
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General Solution to a Singular System (or no solution)
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Manipulating 2nd Order Tensor Expression: Isolating Q
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Which Clifford Algebras Admit Multiplicative Inverses?
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Can Unique Arrangements of Two Primes Generate All Even Numbers?
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Simplify (a+b)^c | No Squareroot Needed
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Is the Continuum of Decimals Larger than the Set of Natural Numbers?
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Groups of prime order are cyclic. (without Lagrange?)
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What is the Determinant and Why Does It Matter in Linear Algebra?
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Concept of Matrix Multiplication
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Proving Inclusion of Vector Subspaces in W: A Scientific Approach
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Something interesting concerning parity
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Why is anything raised to the power zero, one?
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A problem in understanding distributions exercise
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Is R^2 a Field with Component Wise Operations?
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Calculating Orbit Velocity Around a Star
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Any body ever fully diagonalize a 200,000 hermitian matrix?
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Group automorphism not a subgroup?
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Square an inequality if both sides are positive
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Prove Linear Independence of Vector Sums
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Is There a Single-Variable Solution to This Diophantine Equation?
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How do you get rref with a variable in the last column?
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Silly question about matrices with matrix elements
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Permutation as a Product of Transposition
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Uses of the Word "Form" in Mathematics
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Wedge/cross products and associativity
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Need Help in Direct Product and Quotient (factor) Group
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Can Linear Combinations of Primes Model Unique Solutions in Modular Arithmetic?
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What is the sum of the series nCr . 2r?
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Sum of Squares: Get the Answers You Need
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Relation between similarity of geometry and similar matrix
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Proofs for Two Sets of Questions
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What is the Equation for Flat-Out Annoying X?
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Field of Fractions: Proof it is a Field
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Terminology: free algebra with binary op, constant.
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Maximizing Pairs (k,l) in R^+: k+l+2\sqrt{kl}=4+\sqrt{7}
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Is Part (ii) of This Proposition Incorrect?
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Why Do I Get Three Kronecker Deltas Instead of One in Tensor Summation?
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Is the Lie Product Always Unique in Vector Spaces?
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What Does i^i Really Mean in Complex Numbers?
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Equivalence classes of Cauchy sequences
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Does this matrix come up anywhere?
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Proving Hom(Q/Z, Q/Z) is isomorphic to \hat{Z}
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Optimizing Eigenvector Computations for Large Matrices
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Quaternions in Clifford algebras
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Cancellative set in a semiring that is not multiplicatively closed
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Algebra Isomorphisms: Definition & Examples
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Complex numbers and hamilton quaternions generate [tex]M_{2}(C)[/tex]
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Relation of a Matrix and a System of Equations Question
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Prove gcd(m,n)=1 implies gcd(2m+n,2n)=1 (n odd)
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Is (2^58+1)/5 a Prime or Composite Number?
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Discover the Next Number in a Series: Infinite Contiguous Pairs Revealed!
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What Are Some Practical Applications of Group Theory?
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Show that a group of operators generates a Lie algebra
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Patterns of remainders when dividing x^n/n
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When do primes and integers in modulo 2^n form equal products?
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What Is the Next Number in This Mysterious Sequence?
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Is Simplifying Group Axioms to Just Left Identity and Inverses Valid?
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What is the significance of diagonalizing the matrix in an LC-circuit?
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Difference between a vector space and a field?
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Uncovering the Math Behind a Mysterious Paradox
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Do Vectors [a, b, c] with c - a = 2b Form a Vector Space?
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I apologize if this is old. Thing I found.
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Revised Simple Proof of the Beal's Conjecture
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What is the Geometric Proof of Goldbach's Conjecture Using Counter Diagonals?
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Number of generators of finite group
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What Does Georgi Mean by Vector Space in Theorem 1.5?
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The number of ways to express a specific summation
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Is trace(A*A) always positive?
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What Does Column n-Tuple Mean in Vector Spaces?
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SU(2) as representation of SO(3)
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Prime Numbers: A Mathematical Mystery
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Multiplicative Identity under Matrix Multiplication
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Is E an Algebraic Closure of Q a Normal Extension?
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A little problem with permutations.
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Do evanescent waves span a vector space?
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Unique Solution for Tx=y in R(T) when T is injective
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Solving Tx=y: One Solution & R(T) Condition
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Irrational+Irrational=Rational (deeper)
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Matrix Transform: Meaning & Space Covered
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Why is a negative sign not needed when swapping rows in matrix row echelon form?
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Sylow Subgroups: Show 10 is Not a Subgroup of Order 324
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Proof of Normal Subgroups in Group G - HN
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Module Equivalence: Understanding Ann(M)
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Inverting a Tensor - How to Find Out?
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Change of basis in R^n and dimension is <n
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Why Can't We Construct e(9) from e(8) in Exceptional Lie Algebras?
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Matrix Solution and variable multiplication
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Choosing Postgrad Programme: Arithmetic Combinatorics Vs Algebraic Number Theory
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Understanding Eigenvectors and Eigenvalues in Linear Transformations
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Proof that (x^t)Ax>0 if Eigenvalues of Matrix A > 0
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Dimension for Vector Space involving Planes
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Question on N-dimensional Lie Groups
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Figuring resistance and temperature
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Multiplication of two matrices
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Is Gauss Elimination Method the Same as Gauss Jordan Method in Matrices?
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