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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Graduate Beating linear LS on polynomials
- divB
- · Replies 6 ·
Undergrad Write the subspace spanned by vectors as a kernel of a matrix.
- bobby2k
- · Replies 7 ·
Undergrad Vector notation - form versus vector?
- MrNeu
- · Replies 9 ·
Capon method constrained minimization proof steps
- Milliarde
- · Replies 6 ·
Graduate Is There a Linear Transformation to Map Data Set X to Y in PCA?
- Trentkg
- · Replies 4 ·
Undergrad How Do I Understand <g> in Z/mZ?
- Convergence
- · Replies 1 ·
Field Theory - Element u transcendental of F
- Math Amateur
- · Replies 3 ·
Graduate Why can't matrices with different traces represent the same endomorphism?
- tamintl
- · Replies 1 ·
Graduate Is absorption an axiom for a boolean algebra?
- Bipolarity
- · Replies 3 ·
Determine the matrices that represent the following rotations of R^3
- kalish1
- · Replies 2 ·
Graduate Finding the elements of a group given two generators and relations
- Dixanadu
- · Replies 26 ·
A proof of a general property of norms
- gucci1
- · Replies 1 ·
Graduate Proof of a linear operator acting on an inverse of a group element
- Dixanadu
- · Replies 4 ·
High School Can matrices have a cross product operation?
- member 428835
- · Replies 3 ·
Prove A=B when A⊂span(B) and B⊂span(A)
- toni07
- · Replies 2 ·
Splitting Fields - Dummit and Foote - Example - page 541 - x^p - 2, p prime
- Math Amateur
- · Replies 4 ·
Graduate Understanding Mathematical Structures
- Jimmy84
- · Replies 1 ·
Undergrad Linear independance best methods?
- tamintl
- · Replies 11 ·
Graduate Can a 2N by 2N matrix written in terms of N by N matrices?
- sokrates
- · Replies 3 ·
Solving Equation System for Surjective Linear Transformation: T:R^4->R^2
- Petrus
- · Replies 6 ·
Linear transformations with rank 1 always commute
- Sudharaka
- · Replies 3 ·
Proving the L1-norm of a matrix is the max column sum
- gucci1
- · Replies 1 ·
The Meaning of Degenerate in the Context of Linear Algebra
- Sudharaka
- · Replies 2 ·
Find a Basis for Subspace in P_3(\mathbb{R})
- Petrus
- · Replies 11 ·
Understanding Matrix Units for Linear Transformations in M2(Re)
- Sudharaka
- · Replies 10 ·
Undergrad Would The Cross Product of x and x be z0?
- Meadman23
- · Replies 4 ·
Solving Linear Transformations w/ Bases of Vector Spaces
- Chris L T521
- · Replies 4 ·
Can $S_5$ be written as a multiple of $S_3$ and $S_2$?
- anemone
- · Replies 2 ·
Splitting field and degree for x^4 - 2 over Q
- Math Amateur
- · Replies 3 ·
Find the eigenvalue of a linear map
- Barioth
- · Replies 2 ·
Undergrad Using linear algebra to find a number of independent equations
- member 392791
- · Replies 5 ·
Field extension isomorphism in D&F Theorem 4 and Example 4
- Math Amateur
- · Replies 2 ·
Graduate Does a Linear Combination of Vectors in an Infinite Set Have to Be Finite?
- Bipolarity
- · Replies 3 ·
Graduate Solving Density Problems in Number Theory
- DeadOriginal
- · Replies 10 ·
Determinant Property: Seen it Before? True?
- Dustinsfl
- · Replies 2 ·
Dummit and Foote 13.2 exercise 2: field F₂[α] from x² + x - 1
- Math Amateur
- · Replies 4 ·
Finding the degree of 2 + √3 and 1 + ∛2 + ∛4 over ℚ
- Math Amateur
- · Replies 3 ·
Graduate Some subset of a generating set is a basis
- Bipolarity
- · Replies 11 ·
Undergrad Where Can I Find Linear Algebra Practice Problems for First Year Undergraduates?
- matqkks
- · Replies 6 ·
Solving $x$ in Terms of $a$: $x^4-3ax^3+3a^3x+a^4=0$
- anemone
- · Replies 7 ·
Graduate Is Every Finite Dimensional Lie Algebra Isomorphic to a Subalgebra of GL(n)?
- Kontilera
- · Replies 1 ·
Graduate If f and g are orthogonal, are f* and g orthogonal?
- Aziza
- · Replies 2 ·
Undergrad Cross product to find the area of a triangle
- molly1103
- · Replies 1 ·
Undergrad Superposition principle for functions with multiple variables
- shivaniits
- · Replies 4 ·
Undergrad What is the cross product of 5k and 3i+4j?
- B4ssHunter
- · Replies 3 ·
Can someone solve this System, (1equation, 3 variables)
- ends
- · Replies 1 ·
Why is √3 degree 2 over ℚ in ℚ(√2, √3)?
- Math Amateur
- · Replies 3 ·
Undergrad Linearity of boolean expressions
- m~ray
- · Replies 5 ·
Field Theory - Algebrais Extensions - Dummit and Foote Section 13.2
- Math Amateur
- · Replies 4 ·
Graduate If AB is invertible, then A and B are invertible.
- Bipolarity
- · Replies 14 ·
Undergrad Squaring of vectors in absolute value
- M. next
- · Replies 5 ·
Computing in Q(θ) where θ³ - 2θ - 2 = 0
- Math Amateur
- · Replies 1 ·
Exercise 11: Why does the answer key have b and w reversed?
- Petrus
- · Replies 9 ·
Undergrad What formula or principle governs this observed phenomena?
- VMey
- · Replies 2 ·
Spanning set of vectors question
- gucci1
- · Replies 2 ·
Proof of Eigenvector Existence for Linear Maps on Finite-Dimensional Spaces
- Poirot1
- · Replies 1 ·
Graduate Can a point view another point around an obstructing point?
- wiyosaya
- · Replies 4 ·
Proof of a linear transformation not being onto
- baseball3030
- · Replies 6 ·
Proving Linear Maps are One-to-One
- baseball3030
- · Replies 2 ·
Finding the inverse of 1 + θ in ℚ(θ) for θ³ + 9θ + 6
- Math Amateur
- · Replies 11 ·
When does a parametric linear system have no, unique, or infinite solutions?
- sparrow1
- · Replies 1 ·
4x4 Matrix with rank B=4 and B^2=3
- Petrus
- · Replies 7 ·
Field Extensions, Polynomial Rings and Eisenstein's Criterion
- Math Amateur
- · Replies 1 ·
Why does the Euclidean algorithm give a(x)(1 + x) + b(x)(x³ - 2) = 1?
- Math Amateur
- · Replies 2 ·
A linear transformation is invertible if and only if
- baseball3030
- · Replies 9 ·
Finding the Unknowns: Solving a 4x4 Linear System of Equations
- anemone
- · Replies 6 ·
Graduate How Do Quaternions Enhance Understanding of 3D Rotations?
- Septimra
- · Replies 14 ·
Graduate Algebraic properites of the direct sum
- Bipolarity
- · Replies 4 ·
Undergrad 2 Rotations on different coordinate systems
- mostarac2487
- · Replies 7 ·
Can You Find a Matrix with Ranking Requirements?
- Petrus
- · Replies 8 ·
What is the expression for |c_n| in terms of the given matrice?
- Petrus
- · Replies 11 ·
Undergrad Why Is the Dimension of the Solution Space n-r in Linear Algebra?
- ajayguhan
- · Replies 5 ·
Undergrad Linear transformation from [-1,1] to [a,b]
- mercuryman
- · Replies 1 ·
Graduate Solvable group: decomposable in prime order groups?
- nonequilibrium
- · Replies 2 ·
Problem involving matrix multiplication and dot product in one proof
- gucci1
- · Replies 6 ·
Undergrad Equivalent statements to matrix A is orthogonal
- CAVision
- · Replies 1 ·
Undergrad Should You Study All Proofs in Gallian's Abstract Algebra?
- kvkenyon
- · Replies 1 ·
Graduate Eigenstate to eigenstate evolution with no intermediate superposition?
- James MC
- · Replies 6 ·
Undergrad Linear Transformation: Does T(V) ⊆ W?
- DeadOriginal
- · Replies 6 ·
Graduate Non-linear multivariable functions
- m~ray
- · Replies 1 ·
Graduate Looking for a proof regarding Baker-Campell-Hausdorff
- Kontilera
- · Replies 1 ·
Algebraic Geometry Basics for Understanding Tensegrity in Masters Thesis
- caffeinemachine
- · Replies 7 ·
Tensor notation for vector product proofs
- skate_nerd
- · Replies 11 ·
Undergrad Is the Triple Scalar Product Always Zero?
- member 392791
- · Replies 2 ·
If c|ab and gcd(b, c) = 1 why does c|ac?
- MI5
- · Replies 4 ·
Graduate Roots and root vectors of sp(4,\mathbb{R})
- MathematicalPhysicist
- · Replies 4 ·
Undergrad Why use the discrete cosine transform
- DUET
- · Replies 1 ·
Undergrad What does well-defined mean for group closure?
- bonfire09
- · Replies 4 ·
Undergrad What Does Zero Empirical Mean in Data Matrices?
- DUET
- · Replies 1 ·
Undergrad How Does the Covariance Matrix Apply to Vectors X and Y?
- DUET
- · Replies 7 ·
Undergrad Expanding vout equation from common and differential mode components
- simpComp
- · Replies 10 ·
Graduate Proving the scalar matrices are the center of the matrix ring
- Bipolarity
- · Replies 1 ·
Undergrad The sample covariance of N observations of K
- DUET
- · Replies 6 ·
Graduate Extending the basis of a T-invariant subspace
- Bipolarity
- · Replies 1 ·
Graduate Question on conjugation closure of subgroups
- mnb96
- · Replies 4 ·
What are the properties of orthogonal matrices?
- Jameson
- · Replies 15 ·
Graduate Direct sum of nullspace and range
- Bipolarity
- · Replies 3 ·
Tricky Linear Algebra Question. To show that an operator is 'cyclic'.
- caffeinemachine
- · Replies 6 ·
Solving Householder Matrix Problem
- Jameson
- · Replies 2 ·
Finding an orthogonal basis containing (2,1,-1) in R^3
- evinda
- · Replies 14 ·