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.
Threads
Construct a matrix with such that V is not equal to C_x
- catsarebad
- · Replies 5 ·
Undergrad How Do Unit Vectors Achieve Their Form?
- JasonHathaway
- · Replies 9 ·
Show deg of minimal poly = dimension of V
- catsarebad
- · Replies 1 ·
Tensor Products - Keith Conrad - Theorem 3.3 - Tensor Products I
- Math Amateur
- · Replies 3 ·
Polynomial including Sigma Notation
- PurpleDude
- · Replies 4 ·
Graduate Calculating Basis of Tangent Plane
- flyinjoe
- · Replies 2 ·
Existence of Tensor Products - Keith Conrad - Tensor Products I - Theorem 3.2
- Math Amateur
- · Replies 7 ·
Graduate Generating randomly oriented non-intersecting cylinders in a unit cell
- tricha122
- · Replies 9 ·
Graduate Is this matrix exponentiation method correct?
- Jhenrique
- · Replies 2 ·
Group Isomorphism: Proving G Is an Odd, Ablian Group
- Andrei1
- · Replies 2 ·
Difference Between Lines and Vectors (Linear Combination Problem)
- esis
- · Replies 7 ·
High School Why is a/(as+1) equivalent to 1/(s+1/a)?
- tranceical
- · Replies 5 ·
Polynomial that includes complex numbers
- PurpleDude
- · Replies 16 ·
What Are the Subgroups of Z_n When n Is Even?
- alyafey22
- · Replies 3 ·
Is the image of a direct sum equal to the union of images?
- Fermat1
- · Replies 1 ·
Graduate How do you solve a system of equations with 4 variables and 4 equations?
- noowutah
- · Replies 6 ·
Graduate Why f(x) = x^n - r e^{i \theta}? Seeking Analytic Explanation
- ggb123
- · Replies 2 ·
Set of eigenvectors is linearly independent
- Fermat1
- · Replies 1 ·
Graduate Why do number theorists prefer elementary proofs?
- James MC
- · Replies 8 ·
Graduate How Does the Adjoint Map Function in Lie Theory?
- Mandelbroth
- · Replies 3 ·
3 Algebra problems that I with.
- namerequired
- · Replies 4 ·
Introduction to Tensor Products - some advice please
- Math Amateur
- · Replies 3 ·
Algorithm for finding all the borders of R in all dimensions?
- esis
- · Replies 4 ·
Undergrad How Do You Sketch Re(iz) = 3 in Complex Number Plane?
- JC3187
- · Replies 5 ·
Simple problem concerning R[x], R and a prime ideal I
- Math Amateur
- · Replies 4 ·
Graduate New irrational number to develop transcendental operators
- clairaut
- · Replies 2 ·
Show that the matrix D is invertible
- mathmari
- · Replies 4 ·
Graduate Maximizing resultant magnitude by flipping 2D vectors
- Jeff.Nevington
- · Replies 2 ·
Proving ^eI = D^-1R iff I ∩ D ≠ ∅ in localization
- Math Amateur
- · Replies 9 ·
Group of polynomials with coefficients from Z_10.
- alyafey22
- · Replies 14 ·
Solving a Matrix Equation: Choosing the Right Answer
- Yankel
- · Replies 7 ·
Are W and V subspaces of their parent vector spaces?
- Yankel
- · Replies 1 ·
Graduate Newton's expansion for non-commutative quantities
- ShayanJ
- · Replies 2 ·
Undergrad Vector Formula with multiple Equal signs?
- TastyLemons
- · Replies 2 ·
Which of the Following is Incorrect Regarding Matrices and Vectors?
- Yankel
- · Replies 2 ·
Graduate Approximate diagonalisation of (3,3) hermitian matrix
- SUSY
- · Replies 2 ·
Localization - Bijections between prime ideals of R and D^-1R
- Math Amateur
- · Replies 1 ·
Finding a positive definite matrix to satisfy the general equation of an ellipse
- kalish1
- · Replies 1 ·
Graduate Fully reducible rep-invariant subspace
- ChrisVer
- · Replies 1 ·
Positive, definite matrix symmetric
- kalish1
- · Replies 1 ·
Undergrad Understanding Solutions and Singular Matrices
- Plasmarobo
- · Replies 9 ·
Graduate Pythagorean theorem based on cross product.
- tony700
- · Replies 3 ·
Free and Finitely Generated Modules
- Sudharaka
- · Replies 1 ·
Graduate Inner products and the dual space
- orion
- · Replies 20 ·
Collection of Subspaces of a Vector Space
- Sudharaka
- · Replies 4 ·
Rico Suave's question at Yahoo Answers regarding using the Gauss-Jordan method
- MarkFL
- · Replies 1 ·
Graduate Infinity and one norm question
- Visceral
- · Replies 3 ·
Undergrad Understanding Linear Combinations of Vectors
- Bashyboy
- · Replies 2 ·
Graduate How Does Matrix Exponentiation Retrieve Rotation Matrices?
- gentsagree
- · Replies 3 ·
Undergrad When y is negative in linear regression?
- xeon123
- · Replies 4 ·
Undergrad Algorithm for Generating Percentage Amounts
- natedgreat3
- · Replies 5 ·
Graduate What is com(M) for a matrix and what are its properties?
- Jhenrique
- · Replies 3 ·
Quick problem: given the slope and a point, find the line
- tmt1
- · Replies 2 ·
Describe Geometrically (line, plane, or all of R3) all linear combinations of:
- cmm3594
- · Replies 7 ·
R-modules and Homomorphism of Rings
- Sudharaka
- · Replies 3 ·
Localization - Dummit and Foote, EXAMPLE 2, Ch. 15, Section 15.4, page 708
- Math Amateur
- · Replies 6 ·
Undergrad How can you manipulate a vector to create different matrices?
- Jhenrique
- · Replies 5 ·
Graduate Rotation Equations for 2 Angles: Combining Relationships for Easy Calculation
- Jhenrique
- · Replies 2 ·
Graduate Anthropomorphic Dummy Movements in 3D Space
- PrinceAlee
- · Replies 4 ·
Graduate Transforming a spatial average into a spectral average
- nickthequick
- · Replies 2 ·
Undergrad Consistency of A System of Linear Equations
- Bashyboy
- · Replies 1 ·
Localization in Commutative Ring Theory
- Math Amateur
- · Replies 16 ·
Graduate Scalar, vector and tensor calculus
- Jhenrique
- · Replies 2 ·
If a row is added to any matrix is it still the same matrix?
- find_the_fun
- · Replies 4 ·
Find Unit Vector Orthogonal to Vector
- annie122
- · Replies 4 ·
Graduate Can isomorphic subfields of a field be different?
- Mandelbroth
- · Replies 1 ·
Graduate What is the significance of the basis vector e_{11} in a bivector?
- Jhenrique
- · Replies 3 ·
Graduate How can I find a x such that the order of 2 mod x is n?
- stroustroup
- · Replies 2 ·
Graduate Eigenvalues of two matrices are equal
- gopi9
- · Replies 18 ·
Graduate Covariant and Contravariant Coordinate
- Jhenrique
- · Replies 1 ·
Find Vectors $\vec{v_1}$, $\vec{v_2}$, $\vec{v_3}$ Given Dot Products
- Saitama
- · Replies 4 ·
Graduate Changing bases (with bra-ket notation)
- iScience
- · Replies 3 ·
Graduate How Does Tikhonov Regularization Handle Underflows in IEEE Double Precision?
- vibe3
- · Replies 1 ·
Linear Function on a Vector Space
- Sudharaka
- · Replies 7 ·
Self Adjoint and Unitary Transformations
- Sudharaka
- · Replies 2 ·
Graduate Why Is U(n) Considered Connected When O(n) Is Not?
- gentsagree
- · Replies 3 ·
Why Is There No Division for Vectors?
- find_the_fun
- · Replies 4 ·
How to compute P'(1-x) for a linear map from P₃ to P₂
- Petrus
- · Replies 3 ·
High School Cross product between unit vectos
- Jhenrique
- · Replies 1 ·
Graduate Finding the Intersection of a Line and Plane
- pandalolwut
- · Replies 1 ·
Undergrad Why no general solution to quintic equations?
- Superhoben
- · Replies 5 ·
Extend to an orthonormal basis for R^3
- Petrus
- · Replies 4 ·
Graduate Rotational in terms of vector calculus
- Jhenrique
- · Replies 1 ·
What Is the Relationship Between Radicals and Prime Ideals?
- Math Amateur
- · Replies 5 ·
Undergrad Curl and divergence of units vectos
- Jhenrique
- · Replies 2 ·
What Are Linear Transformations and How Do They Work?
- Petrus
- · Replies 2 ·
How can I show that K is positive-definite?
- evinda
- · Replies 2 ·
Cauchy-Schwarz inequality for pre-inner product
- mozganutyj
- · Replies 2 ·
Jordan Normal Form of a Linear Transformation
- Sudharaka
- · Replies 23 ·
Graduate Why do Laplacian and Hessian both use the same notation d²/dr²?
- Jhenrique
- · Replies 2 ·
Basis, dimension and vector spaces
- Yankel
- · Replies 5 ·
Non-Singular Bilinear Function
- Sudharaka
- · Replies 3 ·
Is the Space of Real Polynomials of Degree ≤ n a Euclidean Space?
- Sudharaka
- · Replies 3 ·
Is the Lower Triangular Matrix in the Cholesky Decomposition Unique?
- evinda
- · Replies 11 ·
Graduate Vector components and its coordinate description in a given basis
- "Don't panic!"
- · Replies 6 ·
Ideals of a Residue Class Ring- Ring Isomorphism
- Math Amateur
- · Replies 2 ·
Graduate When do subgroups of larger order avoid containing a normal subgroup?
- epr1990
- · Replies 1 ·
Graduate Irreducible representation. I'm confused.
- LagrangeEuler
- · Replies 14 ·
Graduate Applying linear transformations to orthonormal basis vectors
- iScience
- · Replies 1 ·
Graduate Proving the special property of diagonal matrix?
- Seydlitz
- · Replies 3 ·