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.
Undergrad Can someone explain Euler angles?
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Undergrad Help with Proof: GCD(a,bk) = GCD(a,k)
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Graduate Solving Galois Group Problem Q7: Step-by-Step Guide
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Undergrad Prove a few theorems about vector spaces using the axioms
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Graduate Why Use a - b Instead of a + b in Equivalence Classes of Rings?
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Undergrad Can a Direct Proof Show That 1-A is its Own Inverse?
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Graduate What is the value of this finite sum?
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Undergrad Vector spaces + proving of properties
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Graduate Lie Groups and Algebras: Proofs and Potential Errors
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Undergrad Is there a relationship between remainders and positive integers?
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Graduate One question related to an ideal of Ring R
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Graduate Need help for a maximal ideal quesiton
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Undergrad Is this a Linear transformation
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Undergrad Eigenvalues and -vectors in class
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High School Identifying Collinear, Parallel & Coplanar Vectors
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Graduate What do you call a maximal orthonormal set?
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Undergrad Puzzling Equation: x^y=y^x - Are There Solutions?
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Graduate Problem on linear independence and matrices
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Graduate Is Cubing a Permutation in Zp for Primes Equivalent to 2 Mod 3?
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Graduate Derivation of Euler's formula for phi(m)
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Undergrad Finding Solutions for 2^k=n in $\mathbb{Z}/p$: Suggestions?
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Graduate What Are the Properties of G(n) in Group Theory?
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Graduate Proving feasibility of convex linear combination in LP problem
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Graduate Is There a Faster Way to Find Conjugacy Classes in Group Theory?
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Graduate Order of Groups: Proving ord(\theta(x)) = ord(x)
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Graduate Help me construcing finite field,
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Graduate Can Multilinear Maps Be Represented with Matrices?
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Undergrad How to Find Inverse of a Matrix
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Undergrad Understanding the core idea behind determinants
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Graduate Quaternions or Vectors: Which is the Better Choice for Electromagnetism?
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Graduate Answer: Formal Proof of G x H as a Group
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Undergrad Cutting equal numbers of different length pieces from a known length
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Graduate What groups have exactly 4 subgroups?
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Undergrad Is the A_n Group the Same as the Dihedral Group D_n?
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Graduate Can there be a largest prime within the concept of infinity?
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Graduate Understanding Fields: How Can They Be Represented and Applied?
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Graduate Partitioning Problem: Solving for Pairs & Triplets
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Undergrad How to Solve the Tough Diophantine Equation?
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Graduate How Can I Understand the Representation Theory of Lie Algebras?
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Undergrad Need help with easy linear algebra proof
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Undergrad Can Column Operations be Used to Find the Inverse of a Matrix?
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Undergrad Transforming Simultaneous Equations into Simplified Form for Easy Solving
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Undergrad Solve (2-i)x + (-3+4i)y = -2+3i
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Undergrad If X divides YZ, T divides XY, write OT as linear comb. of OX & OY
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Graduate Vector Space Algebra of Minkowski Space
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Graduate Eigenspaces, Kernel, and Span: Understanding with Examples | Question Answered
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High School De Moivre's Theorum and Double-Angle Formulas
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Undergrad Dot product cross product, where did they come from?
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Graduate Why Isn't the Inverse of My Fundamental Matrix Correct?
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Graduate Is Showing the Uniqueness of Highest Weight a Valid Proof of Irreducibility?
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Undergrad Rank of Matrices: Why Equal to Transpose?
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Undergrad Proving Divisibility of n by 6: A Simple Guide
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Graduate Free Vector Space Explained: Geroch & Matheinste
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Undergrad Is there a connection between row reduction and linear maps?
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Undergrad Two vectors in 3D, always form a plane?
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Undergrad Show Equal Sums in Subset of {1,2,...2048} w/ Size 15
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Undergrad Can someone help me prove a^2+ab+b^2=c^2 for a 120 degree triangle?
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Graduate Prove a^2 + b^2 = 3(s^2 + t^2) implies both a and b must are divisible by 3
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Graduate Can Injectivity of a Matrix Guarantee a Left Inverse?
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Undergrad Matrix Equations: Solving for a, b, c, and d | Elementary Linear Algebra Help
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Graduate Linear Transformation to Shrinking/Expand along a given direction
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Graduate Proving the Continuity of Projections in Vector Spaces
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Undergrad Finding Integer Solutions for y^2 = x^3 + n
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Graduate What is the Inverse of an Element in Free Vector Spaces?
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Graduate Eulers and Fermats Theorems Help
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Graduate Negative-definite inner products
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Undergrad Do Equations in More Than Three Variables Represent Graphs in Higher Dimensions?
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Graduate Identifying elements in V(x)W, V,W V.Spaces
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Graduate How Do You Solve Group Ring Isomorphisms in Mathematics?
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Undergrad Cramer's Rule: A Simplified Explanation
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Graduate Given a real nxn symmetric and non-positive definite matrix,. .
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Graduate Finding a Subspace W of R^4 for Direct Sum V(+)W
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Undergrad I'm trying to prove that a linear map is injective
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High School Is Every Integer in the Decimal System Divisible by 5?
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Graduate Prove the Irrationality of the Golden Ratio & Phi
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Graduate Help Diagonal matrix similar to upper triangular matrix?
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Undergrad What are the possible values of the determinant of an orthogonal matrix?
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Undergrad What Is the Linear Property of Determinants?
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Undergrad Find Dimension of Nullspace A with Basis Calculation
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Undergrad Can abstract math be understood through concrete examples?
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Graduate Order of 2x2 matrix group under mult. mod p
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Graduate Counterexample so that (ab)^i=a^ib^i for two consecutive integers
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Graduate Remember Isomorphism Theorems: Intuition Guide
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Undergrad Vector spaces, Spans and Matrix Determinants
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Undergrad Do Equations in More Than Three Variables Represent Graphs in Higher Dimensions?
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Graduate What Do Homomorphisms on Rings Really Mean?
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Graduate Counterexample for an alternate definition for a group
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Graduate Galois and Klein 4: Isomorphic or Cyclic?
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Undergrad Matrix algebra over finite fields
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Undergrad Least amount of structure for vector space.
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Graduate Adjoint of a linear operator Definition
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Undergrad Is 19 = x^2 mod p solvable? p=68659
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Graduate What is the difference between SO(3,1) and SO(1,3)?
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Undergrad How to make a matrix B such that AB=BA
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Graduate Commutative Algebra: Study of Rings & Groups
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Graduate Proof that Non-Singularity of I-AB Implies Non-Singularity of I-BA
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Graduate Category Theory: ?What is up with these Diagrams?
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Graduate Finding Subgroups of Size N/2 in {1, 2,..., N} with Property m<=N-n
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Undergrad Proving Infinitely Many Primes p=3 mod 4
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Graduate Similar matrix and characteristic polynomial
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