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 What is the concept of tensor product and how is it used in mathematics?
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Undergrad Understanding Vector Spaces with functions
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MHB Which is the linear system of equations?
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Graduate Isomorphism concepts,( example periods elliptic functions )
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Graduate Can Hermitian Matrices be Traceless?
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MHB Proof of Bland's Example 13: Simple Modules and Quotients of Maximal Modules
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Undergrad Simple Modules and quotients of maximal modules, Bland Ex 13
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Undergrad Kronecker product recovering the initial representation?
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Undergrad DIfference between vectors and relations of points
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Undergrad Matrices and linear transformations. Where did I go wrong?
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Undergrad Vector Space: Scalar Restriction in ℤ2
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MHB Calculating Determinants of Matrices: A How-To Guide
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High School Group of Symmetry of Rectangle: Reflections & Diagonals
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Undergrad Existence of spanning set for every vector space
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Undergrad Commutative diagrams and equality of composition
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MHB Proving Equivalence of Statements Involving Endomorphisms - Can We Take $v=x$?
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MHB Is the transformation matrix of $\Phi$ in relation to $B$ correct?
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Graduate Is Group Operation in (G,*) Considered Composition in Mathematics?
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Undergrad Is a symmetric matrix with positive eigenvalues always real?
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Undergrad Some questions about linear transformation
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Undergrad Terminology for Substructures in Vector Spaces
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Undergrad Are Splitting Fields Unique for Different Polynomial Families?
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Undergrad Jacobson Radical and Direct Sums - Bland, Proposition 6.1.4
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MHB Jacobson Radical and Direct Sums - Bland, Proposition 6.1.4 ....
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MHB Does \(B\) Span Algebraically \(E\) Over \(F\)?
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MHB Exponent of Group Hey! :o - Answers to Questions
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Undergrad Is the trace of a matrix independent of basis?
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MHB It is an algebraically dependent set over F
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Undergrad Understanding Separable Vector Spaces: The Basics Explained
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MHB Field extensions and Galois goup
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MHB Diagonalizable Matrix: How to Approach?
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Undergrad Definition of discrete Subgroup quick q
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MHB Is $\Phi|_{U_2}$ a Vector Space Isomorphism?
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MHB Injective linear mapping - image
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Undergrad Proving an inverse of a groupoid is unique
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Graduate Real parameters and imaginary generators
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Undergrad Using determinant to find constraints on equation
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Undergrad Basis of a Subspace of a Vector Space
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Undergrad Linear algebra ( symmetric matrix)
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Graduate Question regarding root of Bring quintic not expressible with radicals
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MHB Solving Linear Mapping Problems with Matrix $M$ in $\mathbb K^2$
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MHB Pointwise and uniform convergence
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MHB Solving for Invertible Matrix: What Am I Doing Wrong?
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MHB Why Does the Matrix Calculation Not Match Expected Results in Linear Mapping?
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MHB What is the Intuition Behind Integral Over in Commutative Algebra?
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MHB How do I draw the contour line and gradient of a function at a specific point?
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Undergrad Jacobson Radical and Rad(M) - Bland Corollary 6.1.3 ....
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MHB How Can We Prove the Inequality of Rank Matrices?
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Graduate How do I supply arpack drivers with all starting vectors?
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Graduate Justify matrices form basis for SO(4)
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Undergrad Eistenstein series E_k(t=0) quick q? Modular forms
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MHB Jacobson Radical and Rad(M) - Bland Corollary 6.1.3 ....
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MHB Determining a determinant using recurrence relations
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Undergrad Congruence Subgroups and Modular Forms Concept Questions
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MHB How can we prove that E/Q is a normal extension?
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MHB Finitely Generated Modules and Maximal Submodules
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MHB Why is this polynomial separable?
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Graduate Representation number via quad forms of theta quadratic form
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Graduate Applying group theory to multivariate eqs
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MHB Showing that P_3 is a subspace to P_n
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MHB Eisenstein polynomial and field extension
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MHB Is t Algebraic Over F(S) in Field Extension E/F?
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MHB Defining & Proving Modulo Multiplication in $\mathbb{Z}_k$
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Undergrad Can we retrieve the inverse of matrix A in this example?
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Graduate Matrix Lie groups and its Lie Algebra
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Undergrad Modular form quick question translation algebra
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Undergrad Multiplying a vector by a complex number
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Undergrad Geometric Algebra formulation of Quantum Mechanics
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MHB Why does this hold when we have the zero matrix?
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Undergrad Show that you can find d and b s.t pd-bq=1 , p and q are coprime- GCF
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MHB Can You Successfully Factorize x^2+y^2+z^2-2xy-2yz-2zx?
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High School Factoring trick by determining a zero value
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Undergrad Automorphisms of Central Simple Algebras/Bresar Example 1.27
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MHB Determining Basis and Dimension for Vector Subspaces $U_1$ and $U_2$
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Insights Representations and Why Precision is Important
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MHB How to Extend These Vectors to a Basis in $\mathbb{R}^4$?
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MHB Determine the vectors of components
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Graduate Using Cayley-Hamilton Theorem to Calculate Matrix Powers
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MHB Solve Vector Space Question: Get the Solution Now
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MHB How to Quickly Find the Rank of a 4 x 6 Matrix Using Column Operations
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MHB Find the General Expression for a Linear Transformation
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Undergrad Multiplication Maps on Algebras .... Bresar, Lemma 1.25 ....
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Undergrad Calculating the Area of an Apollonian Gasket: A Formula for n Layers
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MHB Automorphisms of Central Simple Algebras - Bresar Example 1.27 .... ....
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MHB Left & Right Multiplication Maps on Algebras .... Bresar, Lemma 1.25 .... ....
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MHB No prefix added: How do I find a basis of a $\mathbb{R}$-vector space?
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Undergrad Multiplication Maps on Algebras .... Further questions ....
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MHB Are $V_1$ and $V_2$ Vector Spaces According to Defined Properties?
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Undergrad Prove the sequence is exact: 0 → ker(f) → V → im(f) → 0
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Undergrad Left/Right Multiplication Maps on Algebras .... Bresar
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MHB Simple Unitial Rings .... centre is a field .... ? ....
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Undergrad Wedge product of basis vectors
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MHB Characteristic Equations and Commutativity
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Undergrad Simple Unitial Rings .... centre is a field .... ? ....
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Undergrad Centre of an Algebra .... and Central Algebras ....
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MHB Centre of an Algebra .... and Central Algebras ....
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Graduate Modular forms, dimension and basis confusion, weight mod 1
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MHB How Do I Find the Eigenvalues of \(F^2\) for the Derivative Mapping in \(X\)?
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MHB Find Eigenvalues of 4x4 Matrix with -1 & 3 Entries
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MHB Comparing $gH$ and $Hg$ for Infinite & Finite Groups
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