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 b>(m+1)^2 for Perfect Square Conditions
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Undergrad Can n choose k be proven as a natural number without using induction?
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Undergrad What Are Dummy Variables and How Are They Used?
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Undergrad Is My Homemade Encryption Method Secure Enough for Real-World Use?
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Undergrad Is X*a#/X*b# Equal to a%/b%?
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Undergrad Can Pi be Constructed on a Number Line Using Non-Traditional Tools?
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Undergrad Can Pi be Used as a Random Number Generator for Proving Normality?
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Graduate Powers of cycles? Orders of elements?
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Graduate Is it possible to show that so(4) is equal to su(2) direct sum su(2)?
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Undergrad Finding Perfect Squares of n Factored as a^4*b^3*c^7
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Undergrad Are There Prime Factors of the Same Form for Integers of Form 3n+2?
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Undergrad General how to find the eigenvectors/values
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Graduate Interesting problem from my analysis class
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High School The Origin of "m" in Linear Functions
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High School How to calculate the number of prime factors of 360?
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Undergrad Any Good Literature or Books on Number Theory
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Graduate GNFS Factorization of RSA640 by Franke et al.
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Undergrad Understanding the Odd Permutation Product Mystery
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Graduate Understanding Hilbert Space: Representing & Calculating Length of Functions
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Graduate N elevators serving M floors most efficiently
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Undergrad Is there an explanation for why i^i is a real number?
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High School What is the meaning of i, j, k in vectors?
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Graduate Do All Small Colimits Exist in Algebra?
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Graduate Is There Evidence Supporting Multiple Twin Primes in Specified Intervals?
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Undergrad What Are the Various Applications of Matrices Beyond Solving Equations?
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Undergrad Please recommend textbook for self study
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Graduate Understanding Prevarieties and Affine Varieties in Projective Space
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Graduate Understanding Quotient Fields and Functors in Commutative Algebra
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Graduate I've just come across one-forms for the first time
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Undergrad A little help with Linear Transformations
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Undergrad What exactly is Abstract Algebra?
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Graduate Algebra for Homology: A Resource Guide
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Graduate The Epstein Zeta Function: Definition, Zeros, and Functional Equation Explained
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Graduate Proving Twin Primes with n and n+2 mod n(n+2)
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Undergrad Thinking about matrices/polynomials
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Undergrad Havin' problem in vector direction
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Graduate Why was matrix multiplication defined the way it is?
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Graduate Notation of ln_2(k): Logarithmic or Trig Functions?
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Graduate Quick question on a group definition
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Graduate A proof of Riemann hypothesis (but of course the snobbish journals don,t want
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Undergrad Linear Regression, Linear Least Squares, Least Squares, Non-linear Least Squares
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Graduate Is the Boundary of an Open Set Always Its Complement?
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Graduate Grade Iterated Möbius Transformations Essay | Any University
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Graduate Why is scalar multiplication on vector spaces not commutative?
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Graduate Proving Linear Transformation of Polynomials: Let Px be union of all polynomials
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Undergrad Example of Non-Square Relatively Prime Integers w/ Square Product
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Graduate Proof of gcd and lcm properties for prime factorizations
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Undergrad Is Zn a group under addition modulo n?
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Undergrad Can the Null Space of a Matrix Be the Same as Its Transpose?
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Graduate What is Group Theory and How Does it Relate to Representation Theory?
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Undergrad How Can I Access Online Textbooks for University Level Math Courses?
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High School How Can You Easily Square Big Numbers Without a Calculator?
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Fibonacci Phi - The Golden Ratio
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Undergrad How was the vector cross product derived?
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Undergrad Why Does the Determinant of a Matrix Represent the Cross Product?
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Undergrad Why people need to define determinant ?
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Undergrad Bijection, Injection, and Surjection
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Undergrad Does (a^m^2 + 1) Divide (a^n^2 - 1) for n > m?
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Graduate Examples of Finite Non-Commutative Rings
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Graduate Mathematics Journal, Proof for
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Undergrad Is 1 Really Equal to .9999999999999999999?
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Graduate Vectors and the Menelaus Theorem
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Graduate Abstract Algebra - Compositions
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Undergrad Classification of diagonalizable matrices
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Graduate God, I hate Number Theory Proofs
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Graduate Prove that that every symmetric real matrix is diagonalizable?
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Graduate Does Ax=Bx for All Vectors Guarantee A=B for Matrices?
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Graduate Quick Clarification Quite Curious
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Graduate Prove if a ring has a unity, then it is unique
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Undergrad Represent a matrix on the (x,y)-plane
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Undergrad Reduced row echelon form of matrix
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Graduate Prime number counting function with error O(x^e)
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Undergrad Understanding Echelon Matrices: What Are They and How Are They Used?
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Undergrad Explore Number Theory and Geometry with Mathematics Problem Explorer Book
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Undergrad Sieving for Primes - A Program to Find Primes in Any Range
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Undergrad Solution needed 4 a very good problem
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Graduate Is the Empty Set a Valid Vector Space? A Closer Look at the Ten Axioms
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Undergrad Can (x,y,z) be used to represent both a point and a vector?
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Undergrad A Question in Linear Tranformations
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Undergrad Equation of a relation that appears to be its own reciprocal?
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High School What is the explanation behind matrices in Algebra?
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Graduate How to Find a K for Prime-Free Recursive Sequences?
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Undergrad Question on Defining Linear Equation
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Graduate A formula of prime numbers for interval (q; (q+1)^2)
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High School Quick linear equation question
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Undergrad Now equate the coordinates of H to get the fourth point.
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Graduate How can I prove a^3+b^3+c^3>=3abc using w=(abc)^1/3/?
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Graduate Proving I^n+J^m=R for Coprime I,J in a Ring R
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Graduate A proof of RH using quantum physics
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Graduate Proving One Solution for n^3-n = d^2+d using the Elliptic Method - Learn More!
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High School What are eigenvalues and eigenvectors?
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Graduate Fermat’s Last Theorem: A one-operation proof
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Undergrad Prove that n^3-n is divisible by 6 for every integer n
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High School Find all divisors of for example 29601
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Undergrad Find Book on Intro Abstract Algebra: Rings, Fields, Polynomials
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Undergrad Visualizing equations in a row picture.
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Graduate Self-Taught: Cauchy-Schwarz Inequality (CSI) Explained
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Graduate Are Continuous Functions with Zero Integral a Subspace of C[a,b]?
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Undergrad What Does the Term Singular Mean in Relation to Square Matrices?
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Graduate Congruent equality - how to prove?
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