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 Iteration of Euler's phi function
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Undergrad Formally Proving the Invariance of Solutions in Gaussian Elimination
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Undergrad Using an accelerometer to measure speed
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Graduate What Structure Must G Have for All Aut(G) Elements to Send N to N
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Graduate Sum of Reciprocals of Prime Numbers Equals 1
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Graduate Sum of Primes < n Formula - Pseudot's Research
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Graduate Finding the face of an icosahedron in which a vector falls in
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Undergrad Predicting the Period of Recurring Decimals in Rational Numbers
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Graduate Solvable polynomial definition problem
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Undergrad What to do with a zero column in a system of linear equations?
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Graduate The (i,j)-minor of a matrix: multilinear map?
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Graduate Lang's Algebra Ch 1 Problem 12(c): Ambiguous Group Law
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Graduate Way to generalize the relationship between T and T^2?
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Graduate Cardinality of a basis of an infinite-dimensional vector space
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Graduate What Are Some Examples of Isomorphic Vector Spaces with Different Dimensions?
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Undergrad Conjugacy in Algebra: Why Does a=g^-1bg Occur?
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Undergrad Is u + v in U if u and v are elements of V but not in U?
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Undergrad How Do We Calculate (f O g) for Given Functions and Set A?
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High School Understanding Stirling's Formula: The Bent Equals Sign Explained
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Undergrad How many ways we can represent 50 as the sum of two primes?
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High School How Can Vector Math Be Fun and Engaging for Students?
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Graduate Generalized eigenspace invariant?
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Graduate The module is injective iff it is a direct summand of an injective cogenerator
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Graduate Proving Cauchy-Schwarz Inequality: My Dumb Question
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Graduate Proving R^n Can Be a Field: The n>2 Case
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Graduate Vector Spaces: Real Numbers Over Rational Numbers
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Graduate How many whole numbers c make x^2 + c a multiple of 2^2007?
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Graduate Geometric Algebra: Signs of electromagnetic field tensor components?
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Graduate Simple counterexample for claim about integral domains
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Graduate Program for graphing Riemann zeta function
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Graduate Minimum Number of Distinct Values for a Polynomial over a Finite Field
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High School I'm in need of an algebra refresher course.
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Undergrad How to Study for an Algebra Test on Vectors and Matrices?
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Undergrad Finding Constants for Linear Dependence in 3D Vectors
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Undergrad Understand the Difference Between Trivial and Non-Trivial Solutions
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Graduate What Are Cyclic Quadratic Residues and Their Sums Modulo Prime Numbers?
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Graduate Positive Operator: Why Is \sqrt{A^*A} Positive?
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Graduate Proving a Property of Quadratic Nonresidues in Prime Numbers
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Graduate How can I calibrate an accelerometer with unequal sensitivity between axes?
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Undergrad What Are Canonical Coordinates and How to Convert a Basis in R^2?
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High School Difference between scalars and vectors
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Undergrad I am looking for some help on a little matrix/determinant problem please?
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Graduate Normal nxn Matrices: 1 Eigenvalue Case (Complex #s)
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Graduate Which Elements Belong in H? [SOLVED] Question about a Subset of Z
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Graduate Proving Conjectures About the Binet Formula for Q(\sqrt{k})
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Graduate Show How to Write A as B + iC: Hermitian Operators
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Graduate Is the Trace of a Nilpotent Matrix Always Zero?
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Graduate Prove by induction that 2^1/2 is irrational.
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Graduate Difference between the outer product
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Graduate Finding an affine transformation matrix
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Graduate Show a polynomial of degree n has at most n distint roots
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Graduate Can Fibonacci Sequences Be Proven Using This Conjecture?
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Undergrad Parabola Question: Verifying Solution with Multiple Methods
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Undergrad Solve Problem w/ Two Phase Method: Max Z
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Graduate Geometric algebra: longitude and latitude rotor ordering?
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Undergrad Linearly Independent Columns of a Matrix
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Graduate Question about Gelfand-Naimark
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Undergrad Properties of Inverse Matrices
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Graduate Primitive roots - annoying problem
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Graduate Why Is Ran(A - λI) an Invariant Subspace of A?
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High School What does this equation mean to you?
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Undergrad Can a Change of Basis Simplify Linear Problems?
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Undergrad Standard Matrices for Polynomial Derivatives and Integrals up to Degree 4?
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Undergrad Angle between two lines in space
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Graduate Some Galois Theory: Degree of elements in Q
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Graduate Efficient Computation of Congruence Solutions and Generating Functions
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Graduate Solving Transition Matrix: Find Coefficients of B to B
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Graduate Bases of Generalized Eigenvectors
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Undergrad Understanding Reflection Matrices and Visualizing Transformations
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Graduate Simple problem using eigenvalue/eigenvector
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Graduate Is Floor(x)/y Always Equal to Floor(x/y) When y Is an Integer?
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Graduate Does GCD Condition Prove Multiplicative Order?
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Undergrad Is There a Number N That is Neither Rational nor Irrational?
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Graduate Uncovering Abundant Numbers: My University Research
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Undergrad Isomorphism Question: Struggling with Engineering Maths - Need Help!
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Undergrad Systems of linear inequalities
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Graduate What Functions in Lp Spaces Satisfy the Transformative Integral Equation?
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Graduate What is the simplicity of the Special Linear Lie Algebra?
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Graduate What is the relationship between ker(A) and ker(A^TA)?
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Undergrad An eigen decomposition problem in programming
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Graduate Reconstructing Kite Position and Rotation from a Single Camera Image
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Graduate What is the significance of the sopfr function in these cycles?
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Graduate Prove N_{G}(H) is a Subgroup of G
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Undergrad How does the reflection formula for vectors work?
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Graduate Positive Definite Matrices eigenvalues
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Graduate Can QR Method Accurately Approximate Eigenvalues? [SOLVED]
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Graduate Solving Nilpotent Matrices: Use McLaurin Series to Show Invertibility
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Undergrad What is the proof for the similarity of two matrices having the same rank?
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Graduate What are the properties of ideals in a commutative ring with identity 1?
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Graduate Prove that if and [j] are equivalence classes modulo
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Graduate Showing null space and range are invariant
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Graduate RIemann-Weyl formula and application
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Undergrad Can u understand my business coursework?
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High School Algebraic expressions - simplifying
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Undergrad Where did the six come from in the Chinese Remainder Theorem?
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Graduate Interpretation/significance of the eigenvalues for a system?
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Graduate Factoring a wedge product into vectors? (geometric algebra)
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Undergrad Understanding Adjacency Matrices for Digraphs?
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High School Is the Prime Spiral an Intriguing Study or Just a Quirk?
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Graduate Connection between A(N-1) and SU(N)
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