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 Quaternion Polynomial Equation
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Graduate Are Intersections of Sylow p-Groups Always Trivial?
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Graduate How to Find and Prove All Distinct Ideals of a Ring?
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Undergrad Difference among types of bases.
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Graduate Why is G abelian if |G/Z(G)|=p with p prime?
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Undergrad Is diagonalizability necessary for computing the matrix exponential?
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Graduate What are Quotient Spaces and How Are They Used in Algebra and Topology?
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Graduate Why must inner product spaces be over the field of real or complex numbers?
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Graduate What are the eigenfunctions of the spherical Fourier transform?
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Undergrad Polytopes: Understanding Linear vs Affine Spans
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Graduate Unique Factorisation Domains/Fields
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Undergrad Matrix Invertibility and the Minimal Polynomial
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Graduate Is {u+v+w, v+w, w} Also a Basis for V?
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Graduate Help me understand a homework solution - intro to ring theory - ideals
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Graduate Cross product for complex vectors
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Graduate Diophantine equations of the form x^3-dy^3=1
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Undergrad Determine the number of solutions for a homogeneous system
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Graduate Understanding the Identity Element in Finite Abelian Groups
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Undergrad What exactly does it mean for two points to be barycentrically independent?
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Graduate Certain and Curious Number Sequence
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Undergrad Find period of a matrix - Math Help
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Graduate Do Diagonal Elements in Congruence Transformations Represent Eigenvalues?
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Graduate Approximating the reals by rationals (Littlewood's Conjecture)
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Graduate How Do You Solve w=0.5(z+1/z) for Complex w?
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Graduate Matrix Question: A*B=A (B is non-identity)
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Undergrad How can the square root of a large number be found without a calculator?
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High School Comparing Two Matrices: Same or Different?
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Graduate How to find the magnitude of this bivector?
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Graduate Understanding Group Orbits: A Wolfram Mathworld Example
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Graduate How to prove the linear indenpendency of an infinite set
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Graduate Would someone explain the class equation and its corrolaries for me?
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Graduate SUBSET K of elements in a group with finite distinct distinct conjugates
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Graduate Some kind of mathematical formula that I obviously dont know about?
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Undergrad Is an Orthonormal Set Necessarily Orthogonal?
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Graduate Proth Primes: Coefficient & Exponent Relations
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Graduate What Does Up to Isomorphism Really Mean?
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Graduate Dimension of space composed of powers of a matrix
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Graduate (Linear Algebra) Distinct Eigenvalues of a Matrix
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Graduate Counter Example: Abelian Subgroup Not Normal
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Graduate Using isomorphisms to transform polynomials to vectors.
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Undergrad What is the Basis for a Row Reduced 3x3 Matrix in Linear Algebra?
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Undergrad Easy method to show orthogonality of a matrix
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Graduate Embedding Sn into An+1 and the Limitations: A Closer Look
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Graduate Transforming Positive Definite Quadratic Forms: A Simplification Approach
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Graduate Need help proving L is a normal exension of F.
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Graduate Examples of normal and non-normal extensions of Q?
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Undergrad What do they mean by classify all groups of a certain order
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Graduate Can K⊕K ≅ N⊕N Imply K ≅ N in Finite Abelian Groups?
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Undergrad Invertibility and Diagonalizability
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Graduate Subset of the indempotents of a ring
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Graduate Simple definition of a Lie algebra?
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Graduate Relationship of Basis to Dual Basis
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Graduate Are There Unnormed Vector Spaces?
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Undergrad Find Basis for Span: \vec{a_{1}} to \vec{a_{4}}
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Graduate If p is prime, prove the group (Zp*,x) has exactly one element of order 2.
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Graduate Checking my understanding (re. wedge product) of a passage in Bishop & Goldberg
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Graduate Irreducible polynomials over ring of integers
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Undergrad Dijkstra's or A* for this situation
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Graduate Evaluating a term in bra-ket notation
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Graduate Q (the rationals) not free abelian yet iso to Z^2?
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Graduate Looking for Explanation of a Quotient Group
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Undergrad Solving Combinatorics: Finding the Number of Sets with Elements from A, B, and C
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Graduate Do Functions of Commuting Operators Always Commute?
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High School Relationships of the number kind
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Undergrad 2D Perspective xform using CSS 3D matrix?
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Graduate Order of Automorphism and Abelian Groups
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Graduate How to find all elements of S4 that satisfy the equation x^4=e?
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Graduate A problem on finding orthogonal basis and projection
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Graduate Determinant as a function of trace
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Graduate Proving Surjectivity of Mapping A_g:G ---> G for Automorphism
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Undergrad What Is the Kernel of a Subgroup?
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Graduate Proving Distance Between Plane and Point P
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Undergrad Why Ax=0 only has trivial solution
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Graduate Proving the Power of a Cycle in Disjoint m-Cycles: A Comprehensive Guide
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Undergrad Are All Groups Nonempty and How Does the Group Identity Factor In?
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High School Necessary But Not Sufficient Check For Addition
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Undergrad What is the relationship between determinant and inverse of a matrix?
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Graduate Proving W^a=0 in Tensor Multiplication: A critical analysis
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Graduate Solving Flip It: How Can I Solve the Game Using Mathematical Equations?
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Graduate How to multiply these summations ?
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Undergrad Scaling Augmented Matrices: Is My Thinking Correct?
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Graduate Do subgrps inherent their group properties
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Undergrad Finding Subgroups of certain orders
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Graduate Can the Cross Product be Generalized Using the Dot Product?
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Graduate Why Aren't Non-Continuous Functions in an Interval Considered a Linear Space?
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Undergrad Need help solving tan(x)=kx/z^2 for constant k and dependent variable y?
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Graduate Problem involving existence of solutions for x^2 = a (mod p)
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Undergrad Is Zero Division a Matter of Convention or Something Else?
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Undergrad Can Vectors Project Onto an Arbitrary Line?
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Undergrad Is This Proof of Linear Dependence Correct?
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Undergrad Arbitrary digit of an exponential number
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Undergrad New Prime Sieve: An Alternative to the Sieve of Eratosthenes
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Undergrad Does this polynomial produce only prime numbers?
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Graduate Does k Divide R's Order When R's Additive Group is Cyclic?
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Graduate Genericity of Linear Independence
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Graduate How to state fundamental theorem of arithmetic in a formal way?
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Undergrad Rotation matrix vs regular matrix
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Graduate What is the nullspace of (A-2E)^2?
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Graduate Need help explaining what I've done
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Graduate Discovering the Prime and Factored Parts of Positive Integers
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