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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 Solutions to Ax=b lie in row space?
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MHB Esteban's question at Yahoo Answers (Field extension)
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Graduate Hilbert Space Interpretation of Fourier Transform
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MHB Prime X 's question at Yahoo Answers (Eigenvalues of AB and BA)
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Graduate Is the Dual Space a Subset of V?
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MHB Gregory's question at Yahoo Answers (Inner product space)
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Undergrad Arctangent2 without square rooting?
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Graduate A three-gear alignment problem, simultaneous equations
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MHB Integral Domains and Principal Ideal Domains (PIDs)
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MHB Proof of G Abelian When 3-abelian & 5-abelian
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Undergrad How do I show that the vectors of an invertible MX are indepedent?
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Graduate Determinant Function: Understanding Orientation
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Graduate Isomorphism between groups and their Lie Algebra
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Graduate Groups of order 12 whose 3-Sylow subgroups are not normal.
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Graduate How Does the Isomorphism Between Z_k and Aut(Z_n) Work?
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Graduate Elementary question about Dirac notation
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Graduate Any ideas for an explicit formula?
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Undergrad Finding the least square solution with only positive coefficients
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High School Linear equations using addition
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MHB Area of the parallelogram when diagonal vectors are given.
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Graduate Covariant and Contravariant Components of a Vector
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Graduate Can't understand this statement about factor rings
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MHB Integral closure in finite extension fields
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Graduate How Can You Represent Determinants Using Permutations?
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MHB Solving for Distinct Vectors of G: $\mathbb{F}_p$, n, and v
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MHB C.c.'s question at Yahoo Answers regarding factoring a polynomial
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MHB A fundamental fact about Linear Algebra
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Graduate My Proof of Structure Theorem for Finite Abelian Groups
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MHB Proofs about invertible linear functions
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MHB Principal Ideals - Need for a ring with identity or a unity
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Graduate Proving Invertible Matrix Theorem: A^TDA=D
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MHB Principal ideal in a ring without identity
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MHB Is the Analysis of Principal Ideals Correct?
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MHB Find $\det(A+B)$ given $\det(A)=4$
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Graduate Discrete or continuous spectrum?
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Graduate Connection between topoi and schemes
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MHB Comaximal Ideals in a Principal Ideal Domain
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MHB Prime elements in integral domains
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Graduate Derive an expression to find how many times an eigen value is repeated
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MHB Proving Commutativity of * on Set S
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MHB Proving that $S_1 \cdot S_2 \in S$
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Graduate Showing V is the direct sum of W1 and W2
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Graduate Group Axiom Ordering: Proving Associativity First
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MHB Gcd of polynomials is 1. There is an nxn matrix with determinant....
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Graduate Proof that Determinant is Multiplicative for Commutative Rings
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Graduate Why Can Every Element of SO⁺(1,3) Be Expressed as an Exponential?
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MHB Proof of Inner Product in E with Orthonormal Sequence (n=positive integer)
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MHB Is the Inner Product Space in C[0,2] Satisfied by the Integral Equality?
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Graduate Geometric insight about rotations needed
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Undergrad Proving a Linear Transformation is Onto
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MHB Arjun's question at Yahoo Answers (Equivalence relation)
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Undergrad General Proof of Cross/Dot Product
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Graduate Finiding a representative of the 2nd conjugacy class in A_n
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Graduate Difficult Number Theory question
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MHB Andrew's question at Yahoo Answers (Similar matrices)
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Undergrad Scalars and determining subspaces
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MHB Relation between Hermite and associated Laguerre
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Graduate Nth term of prime number sequence
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Graduate Nonlinear Operators on Finitely Generated Vector Spaces: Group Property Example
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MHB Is the Exponential of a Linear Operator Defined?
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Graduate Is Dirac Delta a Function or a Distribution?
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Graduate When do SO(2) actions on the circle in the plane determine a metric?
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Graduate Understanding Linear Perceptrons and their Decision Boundary in Neural Networks
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Undergrad Vector image on another vector
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Graduate Possible Matrix with Equal Row and Column Sums?
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Graduate Global position and orientation of a point relative to another
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Undergrad How to solve a problem involving modulus
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MHB Theman123's question at Yahoo Answers (Rotation and reflection)
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MHB Is the Product of Two Diagonalizable Matrices Always Diagonalizable?
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MHB Shelby's question at Yahoo Answers (Finding P with P^{-1}AP=D)
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Graduate Sketch Conics: Motivating Students to Learn Cross Products
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MHB Sketch Conics: Motivating Students to Learn Cross Product Terms
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Graduate What is the significance of free products in group theory?
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Undergrad Some questions about 3D environment
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MHB Use a subgroup lattice to compute a normalizer
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MHB Identify isomorphism type for each proper subgroup of (Z/32Z)*
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Undergrad Factoring x^3+y^3+z^3: Conditions & Solutions
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MHB Amanda's question at Yahoo Answers (Eigenvalues and eigenvectors)
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Graduate Determinant of product of matrices
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MHB Vector Triple Product: Simplification Possible?
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MHB Does the permutation group S_8 contain elements of order 14?
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Graduate Why Denote Group Operation with Multiplication?
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MHB Comparing Matrices: A-B>0 Positive Definite?
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Graduate Is There a Ring Homomorphism for All Unital Rings in Evaluation Homomorphism?
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MHB Schreier's Lemma Proof not clear.
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Graduate Can A>B Be Determined by A-B>0 for Matrices?
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MHB How many possibly unique entries are there in a symmetric tensor?
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Graduate Combine two pitch, yaw, roll rotations
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MHB Can Rank of A Determine Rank of A+A²+A³+A⁴?
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MHB Dale Simpson's question at Yahoo Answers (One-to-one matrix)
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Graduate What Iterative Method is This?
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Undergrad What does this answer mean? (continuous functions)
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Undergrad One-to-one linear transformations
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Undergrad Finding smallest solution to modular equations
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High School What Is an Integer Coefficient of Degree n in a Polynomial?
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MHB Understanding Dominant Matrices for Year 11 Students
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Graduate Are generators preserved under homomorphism?
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Undergrad Quadratic Forms: Beyond Sketching Conics
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Graduate Are There Any Other Prime Solutions to the Equation x(x+1)+y(y+1)=z(z+1)?
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MHB P's question at Yahoo Answers (Determinant of order n)
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