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 Isomorphism of Groups with Elements of Same Order
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Graduate Can the multiplicative group of a finite field be proven to be cyclic?
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Graduate Proving 1 p-Sylow Subgroup of G is Normal
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Undergrad Solve a Riddle with Base System Minus 1 - Nadine
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Undergrad Understanding Wiles' Proof of Fermat's Last Theorem: A Beginner's Guide
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Undergrad Vectors & Matrices Defined Up to Scale
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High School Factoring Pattern for ax^2 + bx + c
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Undergrad Solving a Diophantine Equation with $4000 and Cows, Lambs & Piglets
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Undergrad Sharipov's linear algebra textbook
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Undergrad What Are the Real-World Applications of Linear Transformations?
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Graduate A group theoretic puzzle in solid geometry
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Graduate What is Rational Canonical Form and How is it Used in Rings and Fields?
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High School Understanding Numbers: Definition, Symbols, and Cardinality Explained
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Undergrad Can x^n-a=0 have n real roots for n>2?
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Graduate How can A-orthogonal vector sets be determined using positive definite matrices?
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Undergrad Need some help with basic complex variables (no proofs)
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Undergrad Matrix rep. of Linear Transformation
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Undergrad Proving R^2 is a Vector Space: Finding Zero Vector & More
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Graduate A diophantine puzzle for students
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Graduate Can any real number be represented by a continued fraction?
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Undergrad Minimal and characteristic polynomial
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Graduate Headache about Kollatz algorythm
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Graduate Proofing Catalan Numbers: A Combinatoric Approach
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Graduate Proving Group Properties of \left< U_n, \cdot \right>
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Undergrad Is the System of Equations Inconsistent Despite a Solved Example?
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Undergrad Is Order of Operations the Same in Vector Spaces as in Junior High School?
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Graduate Counting Non-Isomorphic Binary Operations on G with p Elements
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Graduate Theorem about symmetric matrices?
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Graduate Primes in ring of Gauss integers - help
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Graduate Is Linear Independence Over Z the Same as Linear Independence Over R?
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Graduate I have discovered a formula for PI(x)
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Graduate Proving the Order of Elements in a Finite Group G
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Graduate Solution to Frobenius Problem for N=2: Proof?
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Graduate Prove that T^2 = T0 IFF R(T) C N(T)
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Undergrad Lin. transf. and linear independence
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Undergrad Proof of Equality for X1, X2, X3 Vector-Space Spans
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Graduate Learn How to Solve sin(nx)/n for Infinity with Expert Guidance"
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Undergrad Proving Algebraic Nature of Root 3 + Root 2
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Undergrad What is the significance of Rn and Rm in Calculus?
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Undergrad Linear Algebra Hw Help: Subset Independence & Dimension | C(R) Functions"
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Graduate Proving the Intermediate Value Theorem in Higher Dimensions using Homeomorphisms
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Undergrad Finding Elements in Row Space of a Matrix: Solving for Belonging and Dependency
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Graduate Derivative Mapping in V: Understanding Rank, Nullity, Nullspace, and Range of D
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Graduate Equivalence of C & D: A Question
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Undergrad Merseinne Primes: Question from a Maths Dunce
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Graduate Maximum Number of Terms in a Homogeneous Polynomial of m Variables and Degree n
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Ripped Off: Paid $1 for a Free Bag?
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Undergrad How do you determine the coefficients for a linear transformation matrix?
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Graduate Proving Inverses Exist in Finite Fields: A Common Challenge in Field Theory
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Graduate What Is a Basis for Vector Spaces of Finite Nonzero Term Sequences?
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Undergrad Do different eigenvector algorithms yield different results?
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Undergrad Solving Gaussian Elimination Algorithm Problem (Matrices)
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Graduate What is Hilbert Space and Why is it Important in Mathematics?
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Undergrad Independence Test Homework Problem Solution
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High School Introductory Number Theory Books for High School Seniors
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Undergrad What Are the Real Meanings and Purposes of Eigenvalues and Eigenvectors?
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Undergrad This shows that the parallelogram law holds for complex numbers.
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Undergrad Row reduced matrix has coefficents
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Graduate How Can I Interpolate Rotation Matrices for Skeletal Animation?
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Graduate Representing a permutation, and a curiosity
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Undergrad Vector Space Solutions for Systems: Explained Here
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Undergrad Is Scalar Multiplication of Vectors Written Without Parentheses?
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Graduate Infinetely many primes of the form 3n+1
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Graduate How Do You Decompose a Random n-Cycle into 2-Cycles?
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Undergrad Solving Vector Equation: (2i - 3j + 4k) X A = (4i +3j - k)
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Undergrad What is the purpose of linear algebra in real life?
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Undergrad Another complex system of linear equations
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Undergrad Diagonalize a Matrix A - Normalize eigenvectors
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Graduate How to Start Learning Lie Groups with Minimal Physics Background?
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Graduate What is the Relationship Between the Image and Kernel of T and T^n?
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Undergrad Understanding Linear Independence: Proving Non-Zero Status of One-Element Sets
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High School Why does commutivity of real numbers exist for multiplication
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Graduate Anoter question on vector spaces an rationnal numbers
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Undergrad Finding Solutions to Complex Linear Systems
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High School How do u show that a matrix is diagonizable?
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Undergrad What are the properties of subspaces?
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Proof that 1/2 +2/3 + 3/4 does not equal a whole number
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Undergrad Coordinates of vector to the base
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Graduate Is the Collatz Problem Undecidable or Not?
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Undergrad Finding Perfect Squares Modulo a Number: 4 (mod 10) Example
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Undergrad Solving Linear Dynamical Systems with Eigenvectors and Eigenvalues
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Graduate Finding Eigenvalues of an Arbitrary Matrix
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Undergrad System of linear congruences Help, please
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Graduate Prove: Every Subfield of C Contains Rational Numbers
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Undergrad Proving det(A) = lambda_1 * lambda_2 * ... * lambda_n for Eigenvalue A
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Undergrad Is V \ U a Subspace of V? Examining the Conditions for Subspace Inclusion
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Graduate Generalized Pell Equation and Primes
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Undergrad Solving Polynomials (mod p) Problems
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Graduate Has Anyone Explored 3D Number Scattering?
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Graduate Parallelogram Equality+Inner Product Spaces
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Undergrad Which linear algebra textbook is best for a high school senior on a budget?
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Undergrad How to Solve the Equation X^2 + 1 = 0 (mod 5^3)?
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Undergrad Are There Multiple Solutions to this System of Linear Congruences?
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Graduate How to Prove the Determinant of a Cosine Matrix?
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Graduate Can a subgroup be mapped onto its parent group as a homomorphism?
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Graduate Some clarification on upper triangular matrices please.
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Undergrad Finding Commuting Permutations in S_6 for alpha=(1 2 4 5)
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Graduate Hilbert space and infinite norm vectors
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Undergrad How Do You Solve 4x=7 (mod 45) Using Remodularization Concepts?
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Graduate Finding Elements of a Quotient Ring
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