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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Infinitely many least-square solutions
- Fernando Revilla
- · Replies 1 ·
Graduate Can Language Homomorphisms Map Truth Across Different Symbolic Systems?
- mXSCNT
- · Replies 3 ·
Undergrad Motivation behind eigenvalue and eigenvector
- Avichal
- · Replies 5 ·
Graduate The vector space of matrices that commute with A
- Bipolarity
- · Replies 5 ·
Graduate Does every permutation of group generators imply an automorphism?
- Boorglar
- · Replies 7 ·
Graduate Remove Known Solution from System of Polynomials?
- StillNihilist
- · Replies 3 ·
How Do You Determine the Image and Kernel of a Linear Map from R^4 to R^2?
- Jerome1
- · Replies 3 ·
Graduate Vector Components and Translation
- physicsphreak2
- · Replies 25 ·
Graduate Does a Zero Wronskian Imply Linear Dependence for Smooth Functions?
- Bipolarity
- · Replies 1 ·
Multiplying in Z/mZ for m=3 and m=7
- Fernando Revilla
- · Replies 1 ·
Graduate Criterion for (non)decomposability of a representation?
- JustMeDK
- · Replies 6 ·
Graduate Interesting theorem, complex eigenvalues.
- bobby2k
- · Replies 3 ·
Undergrad When is algebraic multiplicity = geometric multiplicity?
- Boorglar
- · Replies 2 ·
Graduate What are some simple non-associative binary operations?
- Stephen Tashi
- · Replies 8 ·
High School Algebra - make the assumption?
- MathJakob
- · Replies 4 ·
Solving Ideals in Q[x,y]: Cox et al Chapter 1 Section 4
- Math Amateur
- · Replies 2 ·
Graduate What is the next step after LU decomposition for solving Ax=b?
- Milentije
- · Replies 5 ·
High School How to do cross product if I have got only two coordinate?
- Outrageous
- · Replies 4 ·
Graduate Can G be Written as a Matrix of Matrices like H?
- EngWiPy
- · Replies 1 ·
Undergrad What is the relative element of a vector?
- mihalisla
- · Replies 1 ·
Undergrad Estimating measurement error using error from linear regression
- mesogen
- · Replies 8 ·
Solving systems of linear equations with symbolic coefficients
- datahead8888
- · Replies 3 ·
Undergrad If two matrices have the same determinant, are they similar?
- Bipolarity
- · Replies 5 ·
Graduate Is a finite semigroup isomorphic to subsets of some group?
- Stephen Tashi
- · Replies 4 ·
Graduate Understanding Diagonalization and Eigenvalues in Matrix Transformations
- mathsciguy
- · Replies 2 ·
Undergrad What is Vector Area of an object?
- kashan123999
- · Replies 5 ·
Undergrad Using linear algebra to tell when your derivation is impossible?
- phasor
- · Replies 2 ·
Undergrad Thoughts on vector spaces from my first linear algebra class
- Lucas Ayres
- · Replies 11 ·
What is the acute angle at $P$ where lines $(AG)$ and $(HB)$ intersect?
- karush
- · Replies 5 ·
Undergrad Conditions for Surjective and Injective linear maps
- malexj93
- · Replies 3 ·
Undergrad Characteristic polynomial has degree n and leading coefficent (-1)^n
- Bipolarity
- · Replies 3 ·
Show that in every set p2 with more than three vectors is linearly dependent.
- delgeezee
- · Replies 1 ·
Vectors in a Box: Find $\vec{AB}$ and $|AB|$
- karush
- · Replies 8 ·
Undergrad A few questions about proving vector spaces
- 1MileCrash
- · Replies 10 ·
Graduate Difficulty checking group axioms
- R136a1
- · Replies 5 ·
Noetherian Rings: Does R Need to Be Finitely Generated? - Peter
- Math Amateur
- · Replies 1 ·
Finding p and q in perpendicular vectors and vector magnitude
- karush
- · Replies 2 ·
Factor: bca² + bcd² + adb² + adc²
- SweatingBear
- · Replies 3 ·
Undergrad Can linear algebra used to deal with non linear systems?
- dexterdev
- · Replies 4 ·
How Do You Express Vectors in a Rectangle Using Midpoint Coordinates?
- karush
- · Replies 1 ·
Graduate Stable linear transformations under composition
- burritoloco
- · Replies 7 ·
Undergrad Discrete time system that is homogenous but not additive
- Talltunetalk
- · Replies 3 ·
Graduate Does the Jordan Product Share Properties with the Cross Product?
- dwn
- · Replies 1 ·
Graduate Geometric understanding of Semi-direct product
- dkotschessaa
- · Replies 8 ·
Graduate Cauchy expansion of determinant of a bordered matrix
- ekkilop
- · Replies 2 ·
Graduate Surjection between kernel and image of a homomorphism
- burritoloco
- · Replies 12 ·
Graduate Eigenvalue of product of matrices
- mnov
- · Replies 5 ·
Degree of extension invariant upto isomorphism?
- caffeinemachine
- · Replies 6 ·
Graduate Levenberg-Marquardt Algorithm for more than one function
- Shauheen
- · Replies 3 ·
Graduate What is known about this type of group?
- Someone2841
- · Replies 3 ·
Prime Polynomials and Irreducible Polynomials
- Math Amateur
- · Replies 1 ·
Does F[x₁, x₂, ..., xₙ] mean all polynomials or a subset?
- Math Amateur
- · Replies 4 ·
Undergrad Matrix Multiplication and Function Composition
- Septimra
- · Replies 4 ·
Graduate Limit of two matrices each to the kth power and multiplied
- JPBenowitz
- · Replies 2 ·
High School Learning to Convert Numbers to Different Bases
- Frank Jumby
- · Replies 5 ·
Undergrad How can a diagonal matrix be represented in matrix form?
- hotvette
- · Replies 8 ·
Graduate Interpolating Data with the Discrete Fourier Transform
- zs96742
- · Replies 1 ·
Graduate Boolean lattice structure in Boolean rings from Kolmogorov
- Tenshou
- · Replies 10 ·
Undergrad Can the Algebra Theorem Prove That xy = yx in Group G?
- javedansari
- · Replies 13 ·
Graduate What Is the Non-Compact Form of the SU(2) Algebra in String Theory?
- llorgos
- · Replies 3 ·
Undergrad Matrix multiplication to addition
- yiorgos
- · Replies 4 ·
Graduate Projective coordinates vs vectors
- Stephen Tashi
- · Replies 2 ·
Undergrad What is the efficient way to find the determinant of a matrix?
- Tenshou
- · Replies 9 ·
GCD is same in a field and its superfield.
- caffeinemachine
- · Replies 1 ·
Graduate What is the significance of Fourier Series in representing functions?
- DUET
- · Replies 1 ·
Solve system of two variables involving 3rd order polynomials
- BasicPoke
- · Replies 17 ·
Graduate Relation between spectra of operator and spectrum of a fourier transfo
- Damidami
- · Replies 4 ·
Undergrad Is Vector Division Possible in Mathematics?
- cooper607
- · Replies 7 ·
Prove A is invertable for all values of theta
- delgeezee
- · Replies 4 ·
Graduate This bigger than grahams number?
- fat f...
- · Replies 23 ·
Undergrad Linear regression with the same X value
- xeon123
- · Replies 2 ·
Graduate Difference between tensor product and direct product?
- "pi"mp
- · Replies 2 ·
Is Matrix A Invertible?
- delgeezee
- · Replies 6 ·
Undergrad Can the Arithmetic Mean of Complex Numbers Be Calculated?
- lee.lenton
- · Replies 19 ·
Undergrad Principal Components and the Residual Matrix
- Jrb599
- · Replies 4 ·
Graduate Inner product of rows in a skew symmetric matrix
- Tenshou
- · Replies 7 ·
Graduate Def. of groups being isomorphic - some motivation.
- Stephen Tashi
- · Replies 3 ·
Undergrad Eigen Value Approximation algorithms?
- aashish.v
- · Replies 1 ·
Undergrad Find the error in a linear regression
- xeon123
- · Replies 7 ·
Can the dimension of a basis be less than the space that it spans?
- Pedro1
- · Replies 6 ·
Can the adj(A) method be simplified for finding inverses of 4x4 matrices?
- delgeezee
- · Replies 2 ·
Graduate Does This Function Satisfy the Parallelogram Property?
- Tenshou
- · Replies 2 ·
Graduate Non-Square Matrix Determinants: An Investigation into det(1+AB) = det(1+BA)
- jostpuur
- · Replies 2 ·
Prove (I + J)/J is isomorphic to I(R/J) as R modules
- oblixps
- · Replies 2 ·
Graduate Explanation of exponential operator proof
- gkirkland
- · Replies 12 ·
Graduate Need resources for solving nonlinear matrix equations
- Kosh Naranek
- · Replies 3 ·
Graduate Inverse transformation matrix entry bounds
- atrus_ovis
- · Replies 6 ·
Linear dependence of polynomical functions
- Fernando Revilla
- · Replies 1 ·
Graduate Mazur-Ulam theorem (bijective isometries are affine maps)
- Fredrik
- · Replies 7 ·
What Is an Encoding Matrix in Coding Theory?
- annie122
- · Replies 6 ·
Graduate Problem A1 from the 2009 Putnam Exam
- hello95
- · Replies 7 ·
Undergrad Can A=B be Proved Algebraically without Linear Transformations?
- Bipolarity
- · Replies 2 ·
Undergrad Angle between two vectors from four points
- dudu3060
- · Replies 5 ·
Weight and distance of a binary code
- annie122
- · Replies 2 ·
Graduate Finding a closed form for f(n)ij in a Markov chain
- Big-Daddy
- · Replies 14 ·
Epimorphisms Between Groups: When is a Homomorphism Onto?
- TheBigBadBen
- · Replies 6 ·
Finding a diagonal matrix representation for a linear transformation R2 → R2
- Fernando Revilla
- · Replies 1 ·
Graduate Understanding Algebras: The Relationship Between Rings and Modules
- Artusartos
- · Replies 4 ·
Graduate Family of sets without maximal element
- Bipolarity
- · Replies 1 ·
Proving Vector Equality Using Cross Products
- TheBigBadBen
- · Replies 1 ·