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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.
Undergrad How to Solve a Polynomial with Reciprocal Roots?
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Graduate How Can You Prove a Spanning Set Theorem Without Summation?
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Graduate Showing the Inclusion of Infimum and Supremum in the Closure of a Bounded Set
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High School Solve 6th Grade Sequence: 1,5,13,25,41,61
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Graduate Embarassing question about eigenvectors
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Undergrad Troubleshooting Vector Equations: Proving Collinearity of 3 Concurrent Lines
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Undergrad Vector Division: Is It Possible?
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Graduate Question: Elements of Order 2 in Finite Abelian Group
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Undergrad Question about finding the right inverse of a matirx
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Graduate Prove that Q under addition is not isomorphic to R+
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Undergrad Efficiency: prime test vs prime generator
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Graduate Can a Semigroup with Finitely Many Elements and the Cancellation Law be a Group?
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Undergrad How Can We Determine Convergence of A^n * b in Linear Algebra?
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Graduate Can a set of units in a ring form a group under multiplication?
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Graduate Clarification of Permuatation Question
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Graduate Generators of Modular Prime Systems
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Graduate Prove property of diophantine equation
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Graduate Is Dirac Notation Appropriate for Proving Hermitian Conjugates of Operators?
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Graduate Is an Odd Order Permutation Always an Even Permutation?
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Undergrad Projection of the vector (2,2,1) on the plane
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Graduate Solve Recursion Equation: (n-1)*a[n+1] - n*a[n] + 10*n = 0
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Undergrad An interesting matrix identity problem
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Graduate Why Do Commuting Invertible Matrices Have a Unique Form?
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Graduate Embarassing question about eigenvectors
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Undergrad Can Ax=0 Be Inconsistent? Solving Linear Equations with a Zero Constant
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Undergrad Checking Solution for c1, c2, and c3=0
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Undergrad Are Even and Odd Functions Orthogonal?
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Undergrad Finding the Intersection Point of Two Lines in Vector Form
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Undergrad Solving a Matrix Problem: Help Appreciated!
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Undergrad Finding primes given a condition
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High School Explain vectors from begining to end
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Undergrad Finding the Inverse of Cubic Functions
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Graduate Why do orthogonal matrices have a specific number of independent parameters?
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Undergrad What Are Multi-Dimensional Vectors?
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High School Vector valued and scalar valued functions
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Undergrad Understanding Matrix Powers: Explained for Linear Algebra Students
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Undergrad Understanding the Cosine Formula for Vector Multiplication in 3D Space
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High School Tension Vectors - Grade 12 Algeo
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High School Linear Equation: Definition & Meaning
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Graduate Trouble w/ Lemma: Nullity U Ignored in Finite Vector Space
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Graduate What is the Composition Calculation Method for External Direct Products?
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Undergrad How Do Permutations Like (a, b)(b, c) Result in (a, b, c)?
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Graduate Understanding Permutations: Transpositions, Compositions, and Order Explained
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Graduate Is SL(2,Z3) the Only Group with 24 Elements?
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Graduate How many elements of order 5 are in S7?
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Undergrad What are the range of values of k for the equation (k+1)x^2+4kx+9=0?
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Undergrad What is the proof for triangle ABC with known sides and angle relationships?
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Undergrad What Are Vector Subspaces in Linear Algebra?
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Undergrad How Does Number Theory Apply to Cryptography?
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Undergrad Congruences, Fermats Little Theorm
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Graduate Is Every Group with Self-Inverse Elements Abelian?
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Graduate Arithmetic-geometric mean inequality
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Graduate Proving Induction Problem: P(x) is an Integer for all Natural Numbers n
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Undergrad What is the equation for a vector in R^n that satisfies a given condition?
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Undergrad Can Ulam's Spiral Theory Be Enhanced with a Double Spiral Approach?
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Graduate Is There a Hidden Pattern in Exponentiation Operations on Three Natural Numbers?
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Graduate Prove Polarization Formula in Complex Vector Space
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Graduate Is There a Mistake in Theorem 4.28 on Page 177 of Byron & Fuller's Book?
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Undergrad Prove Linear Independence of {u_1,u_2,...,u_k} for k=2,3,...,n-1
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Graduate Showing Two Groups are Isomorphic
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Graduate What Makes the Negative of a Dedekind Cut Not a Dedekind Cut?
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Undergrad Interesting problem with possible solution
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Undergrad Basis for the intersection of two spans
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Undergrad Finding a Formula for Sum of Series: 1^2 - 3^2 + 5^2 - 7^2 +...
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Undergrad What is the GCD of (a + b, a - b)?
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Undergrad How Much Force Does a Rope Exert on a Car in This Scenario?
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Graduate How Can a Polynomial's Relationship With Its Derivative Indicate Multiple Roots?
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Undergrad Linear Supply Equation for a Commodity: Solving for Unknown Variables
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Undergrad Proof: x^n + 1 is Valid for Odd n".
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Graduate Frustrating step in a proof - basic abstract algebra
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Undergrad Prime Numbers in Set S: Is 2*p>n?
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Graduate Computing Distances: Evaluating Sums in Polynomials
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Undergrad Proving Subspace of Continuous Functions with Integral = 0
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High School Is -1 Considered a Prime Number in Mathematical Discussions?
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Undergrad Is the Prime Numbers Function f(n) = 3^(n)+2 Always Prime?
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High School Three-Way Arrays: Algebra Basics Explained
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Undergrad What is the Equation for a Series of Numbers with a Repeating Pattern?
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Graduate Trouble w/ Maximal Principle (Zorn's Lemma)
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Undergrad What is e? Understanding the Eularian Constant and Its Applications
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Graduate More algebraic geometry questions
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High School Solving for Recurring Numbers: Techniques and Applications
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Graduate What is the Spectrum of the Ring of Continuous Functions Over Rn?
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Graduate Solving for Generators in Abelian Groups with Multiple Relations
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Graduate Symmetries of a Regular Quindecagon: Order & Classification
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Undergrad Understanding Upper Triangular, Lower, and Diagonal Matrices
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High School The Origin & History of Ring & Field: Who Invented Them?
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Graduate Is there a misprint in this group theory exercise?
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Undergrad Calculating the Second Norm of a Matrix: Formula and Explanation
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Undergrad Proving the Span of u_1, u_2, ..., u_k and Av
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Graduate Proving Spanning Sets in Vector Spaces
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Undergrad How Can We Automate Matrix Inversion for Matrices Near the Identity?
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Graduate Cosets are either equal or disjoint
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Undergrad Euler Circuits and Vertices of Even Degree: Proof and Counter-Proof
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Undergrad Is |a| a Factor of |p0| in a General Polynomial of Degree n?
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Undergrad How Do You Find a Basis for the Nullspace When the First Column Is All Zeroes?
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Graduate What is the cocycle condition in deRham cohomology?
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Undergrad Why is sin(2*pi/7) a Non-Constructible Number?
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High School Find Perpendicular Bisector of Line AB (2,3) & (0,6)
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Graduate Quaternions And Complex Numbers
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Graduate Ring, field, injection, surjection, bijection,
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