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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Tensor Products - Dummit and Foote - Section 10-4, pages 359 - 362
- Math Amateur
- · Replies 1 ·
Is Gauss' Lemma the Key to Non-UFDs in Polynomial Rings?
- Math Amateur
- · Replies 1 ·
Mason's question via Facebook about solving a system of equations
- Prove It
- · Replies 1 ·
Undergrad What Is the Study of Homomorphisms from Abstract Groups to GL(n)?
- zwoodrow
- · Replies 3 ·
Undergrad The limit of the perimeter of a Koch snowflake as s(0) goes to zero
- nomadreid
- · Replies 10 ·
Finding z-(1/z) Given z=r(cosx+isinx)
- araz1
- · Replies 6 ·
Is z + z¯ and z × z¯ Real for Any Complex Number z?
- Yordana
- · Replies 1 ·
How Do You Solve These Simultaneous Equations?
- Yordana
- · Replies 2 ·
Undergrad What are the significant angles between intersecting planes in 4D space?
- Hornbein
- · Replies 26 ·
Undergrad Proof that if T is Hermitian, eigenvectors form an orthonormal basis
- Hall
- · Replies 3 ·
What is the GCD and LCM of 35280 and 4158?
- karush
- · Replies 4 ·
Invariance of Asymmetry under Orthogonal Transformation
- PkayGee
- · Replies 1 ·
Graduate Vectors as geometric objects and vectors as any mathematical objects
- Hall
- · Replies 27 ·
Is Every Group of Order 25 Cyclic?
- karush
- · Replies 1 ·
Could you prove that f(A)>=0 whenever A>0?
- DrLiangMath
- · Replies 6 ·
Undergrad Linear independence of three vectors
- Salmone
- · Replies 45 ·
*elements and generators of U(14)
- karush
- · Replies 2 ·
Graduate Solving algebraic equations that cannot be solved in radicals
- Demystifier
- · Replies 6 ·
Undergrad Proof about a positive definite matrix
- Jamister
- · Replies 12 ·
Graduate Anti-dual numbers and what are their properties?
- Anixx
- · Replies 1 ·
Graduate Tensor product matrices order relation
- Jufa
- · Replies 1 ·
Undergrad Zero divisors in product rings
- chwala
- · Replies 55 ·
How Do You Map Matrices to Complex Numbers in Linear Algebra?
- Eric Machisi
- · Replies 2 ·
Graduate Eigenvalue of the sum of two non-orthogonal (in general) ket-bras
- Jufa
- · Replies 13 ·
Undergrad Matrix representation for closed-form expression for Fibonacci numbers
- murshid_islam
- · Replies 2 ·
Undergrad Different norms and how L1 leads to the sparsest solution
- fog37
- · Replies 1 ·
Undergrad Prove the given properties - Ring Theory
- chwala
- · Replies 14 ·
Undergrad Isomorphism between continued fractions and nested radicals
- ajawagner
- · Replies 1 ·
Undergrad What is the difference between a complete basis and an overcomplete dictionary?
- fog37
- · Replies 5 ·
Undergrad Is tensor product the same as dyadic product of two vectors?
- xopek
- · Replies 4 ·
Undergrad What are the Eigenvalues of the Hermitian Inverse \(H^{-1}\)?
- ergospherical
- · Replies 2 ·
Proving Properties of 2x2 Matrices
- TheScienceAlliance
- · Replies 5 ·
Does Commutativity Hold for Matrices A and B with a Specific Matrix C?
- TheScienceAlliance
- · Replies 3 ·
Maxima and Minima (vector calculus)
- WMDhamnekar
- · Replies 1 ·
Undergrad Does Axler's Spectral Theorem Imply Normal Matrices?
- boo
- · Replies 3 ·
Undergrad A few questions about doing a Gaussian Fit
- btb4198
- · Replies 4 ·
Undergrad Determinant of a specific, symmetric Toeplitz matrix
- Rlwe
- · Replies 1 ·
Why does (A-cI)x equal (λ-c)x when λ is an eigenvalue?
- enogjini
- · Replies 2 ·
Undergrad How is uniqueness about the determinant proved by this theorem?
- Hall
- · Replies 10 ·
High School Does this kind of square matrix exist?
- Trollfaz
- · Replies 4 ·
Undergrad Why doesn't my dot product equal |a||b| when theta = 0?
- annamal
- · Replies 16 ·
Undergrad What does an eigenvector of the graph Laplacian represent intuitively?
- Master1022
- · Replies 1 ·
Undergrad What Does the F Matrix Look Like for a Linear Bezier Curve?
- bobtedbob
- · Replies 1 ·
Graduate First eigenvalue not matching, but all others are
- member 428835
- · Replies 8 ·
Undergrad This is an invalid argument about eigenvalues, but why?
- nomadreid
- · Replies 8 ·
Undergrad Can integers be defined as N[[sqrt(1)]]?
- arivero
- · Replies 25 ·
6.2.8 {{k,4},{3,k}}=k what is k
- karush
- · Replies 3 ·
High School Inductive proof for multiplicative property of sdet
- Korybut
- · Replies 1 ·
Undergrad Writing 2nd, 3rd and 4th order tensors in index notation
- chowdhury
- · Replies 5 ·
Undergrad The way matrices are written without boxes
- Hall
- · Replies 9 ·
High School Inverting a tensor-vector equation with two operations
- chowdhury
- · Replies 24 ·
High School Super Lie module definition and supercommutativity requirement
- Korybut
- · Replies 4 ·
Undergrad Proof that two linear forms kernels are equal
- Portuga
- · Replies 4 ·
High School Recurrence relation in a recurrence relation?
- MevsEinstein
- · Replies 8 ·
Undergrad Contracted Christoffel symbols in terms determinant(?) of metric
- George Keeling
- · Replies 1 ·
Undergrad Convert cylindrical coordinates to Cartesian
- nuclearsneke
- · Replies 6 ·
High School One-to-many relations in group theory
- redtree
- · Replies 4 ·
Undergrad What is the importance of p-Sylow subgroups in understanding group structure?
- Santiago24
- · Replies 2 ·
Undergrad Generators of Galois group of ## X^n - \theta ##
- kmitza
- · Replies 3 ·
High School Determinant of a transposed matrix
- Eclair_de_XII
- · Replies 3 ·
Graduate How Does the Non-Equality of Kernels Imply Their Sum Equals the Vector Space?
- Portuga
- · Replies 2 ·
Graduate Why does the skew symmetric matrix form give the cross product?
- Trying2Learn
- · Replies 14 ·
Undergrad Factoring Matrices with Elementary Row Operations
- cbarker1
- · Replies 4 ·
Graduate Calculating the Modal Matrix for A
- boo
- · Replies 9 ·
Undergrad What Conditions Ensure the Minimal Polynomial of α Divides P in Galois Theory?
- giulio_hep
- · Replies 12 ·
Graduate How to visualise complex vector spaces of dimension 2 and above
- pellis
- · Replies 4 ·
Undergrad Basis of 2x2 matrices with real entries
- LagrangeEuler
- · Replies 11 ·
Undergrad Proving properties of polynomial in K[x]
- kmitza
- · Replies 8 ·
What Are the Possible Jordan Forms and Characteristic Polynomial of T?
- darksidemath
- · Replies 1 ·
Undergrad How to find the generator of this Lie group?
- Haorong Wu
- · Replies 1 ·
Group Elements of Z24: Find the Order
- Yara Leonard
- · Replies 2 ·
When does a 4×4 linear system have at most 2 solutions?
- bargaj
- · Replies 1 ·
-la.1.1.19 the augmented process
- karush
- · Replies 10 ·
Undergrad Orthogonality of Eigenvectors of Linear Operator and its Adjoint
- ughpleasenope
- · Replies 3 ·
Undergrad Does associativity imply bijectivity in group operations?
- valenumr
- · Replies 38 ·
Graduate Tensor differentiation and positive semidefinite inequalities
- pitaly
- · Replies 5 ·
3.13 Compute the orders of the following groups:
- karush
- · Replies 3 ·
307.8.1 Suppose Y_1 and Y_2 form a basis for a 2-dimensional vector space V
- karush
- · Replies 8 ·
307.8.3 Compute A^n for the Jordan block
- karush
- · Replies 7 ·
311.3.1.1 - Determinants And Cofactor Expansion
- karush
- · Replies 3 ·
What are the generators of $\Bbb{Z}_6, \Bbb{Z}_8,$ and $\Bbb{Z}_{20}$?
- karush
- · Replies 5 ·
Set of vectors form a vector space
- karush
- · Replies 2 ·
Describes elements of D_5 using SAGE
- karush
- · Replies 6 ·
Z6: Identity, Order, Inverse, Generator, Abelian/Non-Abelian, Subgroups
- karush
- · Replies 4 ·
Undergrad What is a dyadic and what are they used for?
- Trying2Learn
- · Replies 3 ·
Undergrad Linear Algebra 1 problem, Vector Geometry: Lines
- Student323
- · Replies 3 ·
Undergrad Is this basis valid for polynomials with p(0)=p(1)?
- Hall
- · Replies 39 ·
Undergrad S is set of all vectors of form (x,y,z) such that x=y or x =z. Basis?
- Hall
- · Replies 5 ·
High School Proof involving two linear equations
- RM86Z
- · Replies 17 ·
Undergrad How can I find all possible Jordan forms?
- laurabon
- · Replies 8 ·
How Do You Solve Linear Equations with Given Coordinates?
- Sarahq
- · Replies 2 ·
Graduate What is the Definition and Properties of a Cross Product in Vector Algebra?
- Greg Bernhardt
- · Replies 3 ·
Undergrad Looking for a creative or quick method for finding roots in GF(p^n)
- kmitza
- · Replies 3 ·
Undergrad Similarity transformation, basis change and orthogonality
- Azad Koshur
- · Replies 20 ·
Undergrad Irreducible polynomials and prime elements
- darksidemath
- · Replies 5 ·
Graduate Will solving A*A'=B for A always give a unique matrix?
- feynman1
- · Replies 18 ·
Solve System Using Matrix Inverse
- brinlin
- · Replies 2 ·
Undergrad Why is musical isomorphism called musical?
- lriuui0x0
- · Replies 2 ·
Undergrad Finding a polynomial that has solution (root) as the sum of roots
- swampwiz
- · Replies 13 ·
Undergrad Why does every polynomial of degree n have exactly n roots in C?
- Delta2
- · Replies 43 ·