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.
MHB Set is closed as for multiplication of matrices
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Undergrad Showing that a set of differentiable functions is a subspace of R
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MHB How to Choose the Right Running Shoes for You
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MHB Tips for Eating Healthy on a Budget
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Undergrad P-adic valuation expression for a given natural number
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In algebra what does x represent?
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Graduate Algebra of divergent integrals
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MHB Proving Zp is a Vector Space for Prime p
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Undergrad Proving linear independence of two functions in a vector space
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Graduate Order of group, Order of element
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MHB For which c is there 1/0 solution?
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Undergrad How Are Dual Vectors and Covectors Related in Vector Spaces?
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MHB Linear system of equations: Echelon form/Solutions
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Undergrad The Value and Applications of Group Theory in Mathematics
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Undergrad Is there a theorem that a set of binary swaps can affect any permutation?
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MHB Calculating the Inverse Matrix for a 3x3 Matrix
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Graduate How to investigate a transformation that might form a Lie group?
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MHB 311.1.5.12 Ax=0 in parametric vector form
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MHB Is G/G isomorphic to the trivial group? A proof for G/G\cong \{e\}
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Undergrad Decomposition per the Fundamental Theorem of Finite Abelian Groups
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Finite non-abelian group of the order pq, pq primes
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MHB -311.1.5.8 Ax=b in parametric vector form,
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MHB 311.1.5.5 homogeneous systems in parametric vector form.
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Undergrad Prove that dim(V⊗W)=(dim V)(dim W)
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Undergrad Hermitian Operators and Non-Orthogonal Bases: Exploring Infinite Spaces
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Undergrad Does anyone really understand what's really going on with this video?
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Undergrad What is the definition of trace for n-indexed tensor in group theory?
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Undergrad Rotational invariance of cross product matrix operator
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Undergrad Trying to get a better understanding of the quotient V/U in linear algebra
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Undergrad Why does A squared not equal A times A when k = Z2?
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Undergrad How to approach a cross product question
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Undergrad Three equations of planes, dimension should be 1?
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Undergrad Show that ##\mathbb{C}## can be obtained as 2 × 2 matrices
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MHB Connecting linear algebra concepts to groups
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MHB Resource for learning linear algebra
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MHB What Are the Elements of (Z4×Z12)/<2,1>?
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Undergrad Finite fields, irreducible polynomial and minimal polynomial theorem
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Undergrad Showing a set is a basis for a vector space
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Undergrad Why should a Fourier transform not be a change of basis?
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MHB Group Homomorphism: True or False?
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Undergrad Understanding the concepts of isometric basis and musical isomorphism
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High School Simple question about the dual space
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MHB Find Point D on Plane for 4 Unit Cube Pyramid
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MHB How Does the Composite Transformation H Affect a Triangle and Arrow?
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MHB What is the distance of closest approach
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Graduate What Does the Book Say About the Eigenvalues of 3x3 Matrices?
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Undergrad Simple Generalized Eigenvalue problem
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Undergrad The Complete Solution to the matrix equation Ax = b
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MHB 412.00.1.12 are relatively prime for all n.
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Undergrad General Form of Fourth Rank Isotropic Tensor: A Scientific Inquiry
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Undergrad What is the proper matrix product?
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Undergrad Is there any matrix equivalent for the Clifford product?
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Undergrad Question about the Galois correspondence
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MHB Calculating LCD and GCD of 2 Sets of Numbers
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Undergrad Finding All Automorphisms of Group
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MHB How to determine the bases B and C
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MHB What Is the Upper Bound of Groups of Order in Finite Group Theory?
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MHB Small Matrix Norm & Spectral Radius: Examples & Solutions
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MHB Show that the subspace U is ϕ^z-invariant
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MHB Proving or disproving this matrix V is invertible.
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MHB How to Translate Univariate Newton's Approximation to Multidimensional Systems?
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MHB Eigenspace is a subspace of V - ψ is diagonalizable
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Undergrad Irreducible representations of the Dn group
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Undergrad Matrices Commuting with Matrix Exponential
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Undergrad Dot product in Euclidean Space
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MHB Relations between map and matrix
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MHB How Do Polynomial Functions Transform When Applied to Matrices?
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MHB Show that these elements are linearly independent
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MHB What is the spectrum of φ - Eigenspace in finite fields?
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MHB Show that φ(v)=λv for a vector v and a coefficient λ
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Undergrad Invertible Matrix Proof: A-Transpose * M * A (n by m)
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MHB Proving the Formula for Determinants by Induction
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High School How Is the Gradient Covariant in Different Coordinate Systems?
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Undergrad Determining the Equation of a Sine and Cosine Graph that speeds up
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Undergrad Proving Lorentz Transformation identities
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MHB Prove that the statements are equivalent
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MHB Proving Z[x] and Q[x] is not isomorphic
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MHB How to prove an ideal of a ring R which is defined as a coordinates
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Undergrad Explanation of a Line of a proof in Axler Linear Algebra Done Right 3r
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MHB Understanding One-Sided Ideals in Mathematics
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MHB Statements with linearly independent vectors
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High School What are matrix transformations?
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Undergrad This linear system has a solution? (Gauss' elimination)
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MHB 311.1.4.6 create a vector equation
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MHB Creating Linearly Dependent Square Matrix from Cam Mechanism Equation
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Undergrad Rotate Functions with Derivatives: A Quantum Mechanics Homework
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MHB Complete augmented by row operations
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MHB What is the next step in Gauss-Jordan Elimination for this augmented matrix?
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MHB What is the Meaning of Operation gx in Group Theory?
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MHB Orthonormal basis - Set of all isometries
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Undergrad Spherical Harmonics Expansion convergence
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MHB Group mono-, endo-, iso-, homomorphism
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MHB Orthogonal Complement of Polynomial Subspace?
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MHB Is the composition of the isometries a rotation?
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MHB Subsets of permutation group: Properties
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MHB Understanding Vectors: Properties and Applications
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Undergrad Linear Subspace with Neutral Element in Brazilian Portuguese and Spanish
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Undergrad How to solve a small system of non-linear equations?
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Undergrad Building a coefficient matrix for a system of equations
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MHB How do unit vectors and eigenvalues relate to matrix A?
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