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 Show the reflections over the line do not have group structure?
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Undergrad How do I find the power of (3-i)^12 using trigonometric form?
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Graduate Is Unitarity Preserved by Different Inner Products?
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Undergrad Diophantine and coprime solutions x,y
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Graduate Vector expressed in a basis noncoplanar, neither orthogonal nor of unit length
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Undergrad Square of the sum = Sum of the cubes
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Graduate Innner product for which derivative operator is bounded
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Undergrad Do 3x3 Symmetric Matrices Form a Subspace of 3x3 Matrices?
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Graduate Open problems/Research Suggestions
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Undergrad What is the theory behind elementary matrices?
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High School A basic question about vectors
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Undergrad Subspace of Polynomials of degree 2
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Graduate Classifying Complex Matrices with Cubed Identity: What Does Similarity Mean?
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Graduate What is an Extreme Point in a Convex Set?
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Graduate Cyclic abelian group of order pq
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Graduate What is the significance of [e^([pi]i)]+1=0 in mathematics?
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Undergrad Can explain to me what is mean of span?
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Undergrad How is the Determinant of a Matrix Affected by Row Operations?
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Graduate Cycle Length of the Positive Powers of Two Mod Powers of Ten
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Undergrad Connection of linear equation to span.
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Graduate What Are Some Recommended Textbooks for Learning Lie Algebras?
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Graduate Legendre symbol proof for (-5/p)
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Undergrad Why would f(x) not be included in the determinant?
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Graduate Simplifying e^{At} to Matrix Form: A General Expression?
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Graduate For any two elements A and B that form AB, neither A nor B have to be
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Undergrad Difference between linear and nonlinear transformation
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High School Algebra, rearranging equations
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Graduate Proof: Basis Representation Theorem
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High School Can Non-Commutative Symmetric Matrices Defy Mathematical Rules?
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Graduate Finite Abelian Group: Showing Isomorphism & Subgroups of Order/Index p
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Graduate How Does Galois Theory Help Determine the Structure of the Dihedral Group D4?
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High School System equations - unique / no / infinite solution
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Graduate Solving Linear Equations with Poorly Conditioned Matrices
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Graduate Divisibility of powers of primes
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Graduate The normalizer of the normalizer of a p-sylow supgroup
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Undergrad Linear Transformation S: Matrix A, Injective/Surjective
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Undergrad Solving 4 product equations 4 unknowns
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Graduate What Happens to the Roots of Z(s) if the Riemann Hypothesis Holds True?
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Graduate Show that the two systems Ax=b RAx=Rb
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Graduate Row of a matrix is a vector along the same degree of freedom
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Undergrad Iterative methods: system of linear equations
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Graduate Linear transformation of a 2nd order pde
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Graduate Can a Complex Matrix X Solve the Column Subspace Problem?
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Undergrad Square pyramidal numbers and Tetrahedral numbers
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Undergrad Does n Divide (n-1)! for Composite and Prime Numbers?
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Undergrad Proving Divisibility: How to Show b|a When b3|a2 - Helpful Tips"
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Graduate Riemann-Siegel Theta Function Approximation
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Graduate Rank of a 2-vector (exterior algebra)
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Undergrad If a,m and n are positive integers with m<n
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Undergrad Finding the number of elements in a cyclic group
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Graduate Precise relation between quaternion and vectors
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Undergrad Proving Vector Subspace: V in W iff V+W in W
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Undergrad Confusion regarding dot product of vectors(row matrices)
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Undergrad Transform Grammer to Chomsky Normal Form
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Graduate Why Does \( g^{m!} \in H \) for All \( g \in G \)?
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Undergrad Proving Matrix A is a Spanning Set of R4
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Undergrad Simple number theory, divisibility
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Graduate How to determine if a subset of rank-1 matrices can sum to a full-rank matrix?
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Graduate What is the identity for a product of 2 LC Tensors in 4D with 3 summed indicies?
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Graduate Proving 'If (2^n)-1 is Prime, Then n is Prime' Using Groups
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Graduate Show that every quaternion z, where |z|= 1, can be expressed
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Graduate Ideals of direct product of rings are direct product of respective ideals?
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Graduate Proving Isomorphism Between Finite Group and Z_2 Using Group Theory
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Graduate Does o(ab)=lcm(o(a),o(b)) for Group G Elements a & b?
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Undergrad Homogeneous System: Why Invertible A Has No Non-Zero Solutions?
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Graduate How does XOR qualify as a linear function?
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Undergrad What's wrong with my algebra here? (dealing with determinants)
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Graduate Understanding Quaternion Multiplication for 3D FPS Camera: A Simplified Approach
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Graduate Trying to find an isometry T(X)=MX
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Undergrad Basis for the nullspace of this matrix
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Graduate Bijection between Orbit and Stabilizer
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Undergrad Does anyone know of any sites with a good general overview of linear algebra?
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Graduate Linear Operator and Self Adjoint
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Graduate Composition of Linear Transformation and Matrix Multiplication
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Graduate Show that det(A) is the product of all the roots of the characteristic
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Graduate Show Commutativity of Group with All Elements of Order 2 & Consider Zn
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Undergrad Tidying Up Vectors: Correct Representation or Too Mathy for Physics?
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Undergrad Why is the cross product defined and used in this specific way?
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Undergrad Eigenvalues and one on diagonal matrices 1-
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Graduate Solve Group Theory Problem - Prime Order of G must be p^n
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Undergrad Prime counting function- no error.
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The prime numbers distribution in R
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Undergrad Vector Space vs Field F Vector Space
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Graduate Characteristic or a finite field is a prime number?
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Graduate Isomorphism between Dihedral and Symmetric groups of the same order?
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Undergrad Can vector spaces and their subspaces be visualized effectively?
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Undergrad Is there a relationship between right cosets and orbits in group theory?
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Graduate Proving Invariance of Transformations and the Linearity of a Specific Operation
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Undergrad Carmichael Numbers: Understanding Their Significance and Properties
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Graduate Why Are the 7 Sylow 2-Subgroups Intersection Trivial?
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Undergrad Just wondering about the structure of a determinant
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Undergrad Prove that if A is an invertible matrix and AB = BC then B = C.
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Graduate Classification of the representations of the Lorentz algebra
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Graduate Is tr(A A^T) Equal to tr(A^T A)?
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Graduate Anyone familiar with Abel's insolubility of the quintic proof
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Graduate Algebraic Number Theory - Notation Explained: \frac{D}{p}
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Undergrad Where Can I Find Linear Algebra Exam Papers?
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Undergrad Basis of Nullspace: Linear Algebra & Differential Equations
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Graduate Skew Symmetric Determinant Proof
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Undergrad Injection, surjection, and bijection
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