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.
Is diagonalizability necessary for computing the matrix exponential?
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What are Quotient Spaces and How Are They Used in Algebra and Topology?
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Why must inner product spaces be over the field of real or complex numbers?
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Unique Factorisation Domains/Fields
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Matrix Invertibility and the Minimal Polynomial
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Is {u+v+w, v+w, w} Also a Basis for V?
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Help me understand a homework solution - intro to ring theory - ideals
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Cross product for complex vectors
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Diophantine equations of the form x^3-dy^3=1
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Determine the number of solutions for a homogeneous system
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Understanding the Identity Element in Finite Abelian Groups
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What exactly does it mean for two points to be barycentrically independent?
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Certain and Curious Number Sequence
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Find period of a matrix - Math Help
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Do Diagonal Elements in Congruence Transformations Represent Eigenvalues?
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Approximating the reals by rationals (Littlewood's Conjecture)
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How Do You Solve w=0.5(z+1/z) for Complex w?
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Matrix Question: A*B=A (B is non-identity)
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How can the square root of a large number be found without a calculator?
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Comparing Two Matrices: Same or Different?
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How to find the magnitude of this bivector?
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Understanding Group Orbits: A Wolfram Mathworld Example
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How to prove the linear indenpendency of an infinite set
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Would someone explain the class equation and its corrolaries for me?
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SUBSET K of elements in a group with finite distinct distinct conjugates
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Some kind of mathematical formula that I obviously dont know about?
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Is an Orthonormal Set Necessarily Orthogonal?
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Proth Primes: Coefficient & Exponent Relations
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What Does Up to Isomorphism Really Mean?
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Dimension of space composed of powers of a matrix
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(Linear Algebra) Distinct Eigenvalues of a Matrix
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Counter Example: Abelian Subgroup Not Normal
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Using isomorphisms to transform polynomials to vectors.
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What is the Basis for a Row Reduced 3x3 Matrix in Linear Algebra?
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Easy method to show orthogonality of a matrix
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Embedding Sn into An+1 and the Limitations: A Closer Look
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Transforming Positive Definite Quadratic Forms: A Simplification Approach
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Need help proving L is a normal exension of F.
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Examples of normal and non-normal extensions of Q?
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What do they mean by classify all groups of a certain order
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Can K⊕K ≅ N⊕N Imply K ≅ N in Finite Abelian Groups?
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Invertibility and Diagonalizability
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Subset of the indempotents of a ring
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Simple definition of a Lie algebra?
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Relationship of Basis to Dual Basis
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Are There Unnormed Vector Spaces?
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Find Basis for Span: \vec{a_{1}} to \vec{a_{4}}
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If p is prime, prove the group (Zp*,x) has exactly one element of order 2.
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Checking my understanding (re. wedge product) of a passage in Bishop & Goldberg
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Irreducible polynomials over ring of integers
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Dijkstra's or A* for this situation
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Evaluating a term in bra-ket notation
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Q (the rationals) not free abelian yet iso to Z^2?
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Looking for Explanation of a Quotient Group
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Solving Combinatorics: Finding the Number of Sets with Elements from A, B, and C
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Do Functions of Commuting Operators Always Commute?
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Relationships of the number kind
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2D Perspective xform using CSS 3D matrix?
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How to find all elements of S4 that satisfy the equation x^4=e?
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A problem on finding orthogonal basis and projection
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Determinant as a function of trace
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What Is the Kernel of a Subgroup?
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Proving Distance Between Plane and Point P
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Why Ax=0 only has trivial solution
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Proving the Power of a Cycle in Disjoint m-Cycles: A Comprehensive Guide
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Are All Groups Nonempty and How Does the Group Identity Factor In?
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Necessary But Not Sufficient Check For Addition
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What is the relationship between determinant and inverse of a matrix?
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Proving W^a=0 in Tensor Multiplication: A critical analysis
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Solving Flip It: How Can I Solve the Game Using Mathematical Equations?
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Scaling Augmented Matrices: Is My Thinking Correct?
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Do subgrps inherent their group properties
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Why Aren't Non-Continuous Functions in an Interval Considered a Linear Space?
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Need help solving tan(x)=kx/z^2 for constant k and dependent variable y?
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Problem involving existence of solutions for x^2 = a (mod p)
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Is Zero Division a Matter of Convention or Something Else?
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Is This Proof of Linear Dependence Correct?
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Arbitrary digit of an exponential number
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New Prime Sieve: An Alternative to the Sieve of Eratosthenes
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Does this polynomial produce only prime numbers?
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Does k Divide R's Order When R's Additive Group is Cyclic?
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Genericity of Linear Independence
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How to state fundamental theorem of arithmetic in a formal way?
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Rotation matrix vs regular matrix
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What is the nullspace of (A-2E)^2?
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Need help explaining what I've done
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Discovering the Prime and Factored Parts of Positive Integers
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Splitting apart bases with a power
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Is the Gradient Vector Always in the Radial Direction?
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How Can We Prove Linear Dependence in Vector Spaces?
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Found Some Pattern in prime numbers
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How Can You Find Prime Ideals in Products Like Z/3Z x Z/9Z?
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Finding Primes: A Divisor summatory function
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Inherent negativity of seemingly symmetric finite integer sets
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Rotation is combination of shearing and scaling
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Linear transformation being onto or not (Three problems I understanding)
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Problem about Fermat numbers and order of an element
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Does differentiation preserve linear independence?
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Do tuples exist which aren't elements of a cartesian product of sets?
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Linear Algebra in Analyzing Finance
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