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.
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Undergrad Trying to get a better understanding of the quotient V/U in linear algebra
- Karl Karlsson
- · Replies 10 ·
Undergrad Are algebraic numbers closed under roots, sums and products?
- swampwiz
- · Replies 1 ·
Undergrad Why does A squared not equal A times A when k = Z2?
- Karl Karlsson
- · Replies 12 ·
Undergrad How to approach a cross product question
- gregi_2
- · Replies 2 ·
Undergrad Three equations of planes, dimension should be 1?
- JonnyG
- · Replies 10 ·
Undergrad Show that ##\mathbb{C}## can be obtained as 2 × 2 matrices
- Karl Karlsson
- · Replies 14 ·
Connecting linear algebra concepts to groups
- lemonthree
- · Replies 6 ·
Resource for learning linear algebra
- Emekadavid
- · Replies 5 ·
What Are the Elements of (Z4×Z12)/<2,1>?
- angubk6
- · Replies 1 ·
Undergrad How can I rotate a vector in 3D to match another vector's rotation?
- kairama15
- · Replies 2 ·
Undergrad Finite fields, irreducible polynomial and minimal polynomial theorem
- Karl Karlsson
- · Replies 6 ·
Undergrad Showing a set is a basis for a vector space
- penroseandpaper
- · Replies 2 ·
Undergrad Subgroup axioms for a symmetric group
- penroseandpaper
- · Replies 1 ·
Undergrad Why should a Fourier transform not be a change of basis?
- Saw
- · Replies 43 ·
Group Homomorphism: True or False?
- lemonthree
- · Replies 1 ·
Undergrad Isometric basis and musical isomorphism in R³
- KungFu
- · Replies 3 ·
High School Is the action of a dual vector on a vector an inner product?
- etotheipi
- · Replies 17 ·
Undergrad Scalar powers of a matrix exponential
- Hiero
- · Replies 6 ·
Find Point D on Plane for 4 Unit Cube Pyramid
- jaychay
- · Replies 3 ·
How Does the Composite Transformation H Affect a Triangle and Arrow?
- lemonthree
- · Replies 1 ·
What is the distance of closest approach
- Another1
- · Replies 2 ·
Graduate What Does the Book Say About the Eigenvalues of 3x3 Matrices?
- LagrangeEuler
- · Replies 5 ·
Undergrad Simple Generalized Eigenvalue problem
- Trying2Learn
- · Replies 17 ·
Undergrad The Complete Solution to the matrix equation Ax = b
- rtareen
- · Replies 3 ·
412.00.1.12 are relatively prime for all n.
- karush
- · Replies 1 ·
Undergrad General form of fourth rank isotropic tensor with rotations
- LuccaP4
- · Replies 1 ·
Undergrad What is the proper matrix product?
- SVN
- · Replies 9 ·
Undergrad Is there any matrix equivalent for the Clifford product?
- SVN
- · Replies 1 ·
Introduction to linear algebra
- abs1
- · Replies 3 ·
Undergrad Fixed fields from Galois group of x^4 - 2 over Q
- thaiqi
- · Replies 13 ·
Calculating LCD and GCD of 2 Sets of Numbers
- karush
- · Replies 2 ·
Undergrad Theory of "fields" in the sense of fields in physics?
- Stephen Tashi
- · Replies 18 ·
Undergrad What do you know about the planar product of two vectors?
- LCSphysicist
- · Replies 2 ·
Undergrad Finding All Automorphisms of Group
- jstrunk
- · Replies 2 ·
High School When does a system of linear equations have a unique solution?
- kent davidge
- · Replies 5 ·
How to determine the bases B and C
- mathmari
- · Replies 8 ·
High School Solutions to systems of equations
- kent davidge
- · Replies 4 ·
What Is the Upper Bound of Groups of Order in Finite Group Theory?
- pauloromero1983
- · Replies 2 ·
Matrix with large norm but small spectral radius
- sarrah1
- · Replies 8 ·
Show that the subspace U is ϕ^z-invariant
- mathmari
- · Replies 4 ·
Proving or disproving this matrix V is invertible.
- kaienfr
- · Replies 1 ·
How to Translate Univariate Newton's Approximation to Multidimensional Systems?
- Purplepixie
- · Replies 2 ·
Eigenspace is a subspace of V - ψ is diagonalizable
- mathmari
- · Replies 39 ·
Undergrad Irreducible representations of the Dn group
- Robin04
- · Replies 3 ·
Undergrad Matrices Commuting with Matrix Exponential
- Isaac0427
- · Replies 30 ·
High School Vector Notation: Italic Boldface Symbolization
- Anonymous1
- · Replies 3 ·
Undergrad Dot product in Euclidean Space
- Trying2Learn
- · Replies 16 ·
Relations between map and matrix
- mathmari
- · Replies 10 ·
How Do Polynomial Functions Transform When Applied to Matrices?
- mathmari
- · Replies 8 ·
High School Do column 'vectors' need a basis?
- etotheipi
- · Replies 42 ·
Show that these elements are linearly independent
- mathmari
- · Replies 12 ·
What is the spectrum of φ - Eigenspace in finite fields?
- mathmari
- · Replies 15 ·
Show that φ(v)=λv for a vector v and a coefficient λ
- mathmari
- · Replies 1 ·
Undergrad When is A^T M A invertible if M is diagonal and A is n by m?
- Trying2Learn
- · Replies 11 ·
Proving the Formula for Determinants by Induction
- mathmari
- · Replies 4 ·
High School How Is the Gradient Covariant in Different Coordinate Systems?
- plob
- · Replies 7 ·
Undergrad Why are tensors representations of rotation groups in SO(N)?
- Haorong Wu
- · Replies 6 ·
Undergrad Determining the Equation of a Sine and Cosine Graph that speeds up
- FGD
- · Replies 9 ·
Undergrad Proving Lorentz Transformation identities
- JD_PM
- · Replies 20 ·
Prove that the statements are equivalent
- mathmari
- · Replies 2 ·
Undergrad Understanding Lorentz Groups and some key subgroups
- JD_PM
- · Replies 3 ·
Proving Z[x] and Q[x] is not isomorphic
- cbarker1
- · Replies 5 ·
How to prove an ideal of a ring R which is defined as a coordinates
- cbarker1
- · Replies 1 ·
Undergrad What criteria identifies a math operation as a "product"?
- ibkev
- · Replies 14 ·
Undergrad Explanation of a Line of a proof in Axler Linear Algebra Done Right 3r
- MidgetDwarf
- · Replies 4 ·
Number of multiplications and divisions for LU decomposition
- mathmari
- · Replies 22 ·
Understanding One-Sided Ideals in Mathematics
- cbarker1
- · Replies 5 ·
Statements with linearly independent vectors
- mathmari
- · Replies 10 ·
High School What are matrix transformations?
- Sreekar adithya
- · Replies 3 ·
Undergrad This linear system has a solution? (Gauss' elimination)
- requied
- · Replies 19 ·
311.1.4.6 create a vector equation
- karush
- · Replies 4 ·
Creating Linearly Dependent Square Matrix from Cam Mechanism Equation
- Barbudania
- · Replies 2 ·
Undergrad How do rotation operators use derivatives to rotate functions?
- Oliver321
- · Replies 2 ·
Complete augmented by row operations
- karush
- · Replies 1 ·
What is the next step in Gauss-Jordan Elimination for this augmented matrix?
- karush
- · Replies 7 ·
Such a decomposition exists iff A is positive definite
- mathmari
- · Replies 13 ·
What is the Meaning of Operation gx in Group Theory?
- mathmari
- · Replies 19 ·
Orthonormal basis - Set of all isometries
- mathmari
- · Replies 23 ·
Undergrad Spherical Harmonics Expansion convergence
- Coltrane8
- · Replies 6 ·
Group mono-, endo-, iso-, homomorphism
- mathmari
- · Replies 9 ·
Orthogonal Complement of Polynomial Subspace?
- Displayer1243
- · Replies 2 ·
Is the composition of the isometries a rotation?
- mathmari
- · Replies 7 ·
Stabilizer subgroups and cosets of permutation groups
- mathmari
- · Replies 18 ·
Understanding Vectors: Properties and Applications
- mathmari
- · Replies 4 ·
Undergrad Linear Subspace with Neutral Element in Brazilian Portuguese and Spanish
- LCSphysicist
- · Replies 22 ·
Undergrad How to solve a small system of non-linear equations?
- Hypatio
- · Replies 19 ·
Undergrad Building a coefficient matrix for a system of equations
- Hypatio
- · Replies 7 ·
How do unit vectors and eigenvalues relate to matrix A?
- mathmari
- · Replies 11 ·
Test for compatibility of equations - Determinant |A b|
- mathmari
- · Replies 4 ·
Show that there are vectors to get a basis
- mathmari
- · Replies 9 ·
Kernel of Linear Map: Show $\ker \phi$ Equation
- mathmari
- · Replies 5 ·
Undergrad Proving Convexity of the Set X = {(x, y) E R^2; ax + by <= c} in R^2
- bonildo
- · Replies 5 ·
Undergrad Why does M*u=M*v imply u=v when M isn't square?
- Gjmdp
- · Replies 4 ·
Undergrad Logarithmic terms in a system of equations
- Dilon
- · Replies 4 ·
Undergrad Given two linear transformations L and K, show ##K = \lambda L## holds
- JD_PM
- · Replies 9 ·
Undergrad Find the parameter values that make ##L## surjective
- JD_PM
- · Replies 10 ·
Finding initial position and velocity using least squares
- mathmari
- · Replies 9 ·
Projection Matrix Calculation for Vectors a_k: P_6P_5P_4P_3P_2P_1a_0
- mathmari
- · Replies 4 ·
System no/infinitely many solution(s)
- mathmari
- · Replies 15 ·