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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High School One line function to find n mod 4 (n % 4)
- PrakashPhy
- · Replies 16 ·
Undergrad Is a Matrix with a Zero Column Invertible?
- lolimcool
- · Replies 7 ·
Graduate On the ‘Sub-Additivity’ of Principal Eigenvectors
- PoomjaiN
- · Replies 1 ·
Graduate Simultaneous diagonalization while having repeated eigenvalues
- McLaren Rulez
- · Replies 6 ·
Undergrad A Measure of How un-prime a Number is?
- Newtime
- · Replies 7 ·
Undergrad How to make a vector function from a f(x) function
- DrummingAtom
- · Replies 5 ·
Graduate Trivial zeros of Zeta Riemann Function
- Facktor
- · Replies 1 ·
High School Proving the Infinity of Prime Numbers: Is There a Method?
- Flexington
- · Replies 6 ·
High School Algebra vs Geometry: The Debate of Natural Talent in High School
- Nikitin
- · Replies 19 ·
Undergrad Definitions of vector space and subspace
- elementbrdr
- · Replies 4 ·
Graduate Real vs. Complex: Understanding the Difference Between su(2) and sl(2) Algebras
- Lapidus
- · Replies 2 ·
Graduate Explaining Ultimate Factorial Value in x^n Integer Series
- ershi
- · Replies 3 ·
Graduate What is an inner product and how can it be verified for polynomials?
- bernoli123
- · Replies 5 ·
Graduate Trasformation of vectors component when changing coordinate system
- lennyleonard
- · Replies 10 ·
Undergrad What is the significance of nontrivial solutions in linear algebraic equations?
- firecool
- · Replies 2 ·
Undergrad Cramers Rule and unique solutions
- nick484
- · Replies 2 ·
Graduate Isomorphism only if it is a linear transformation?
- McLaren Rulez
- · Replies 12 ·
Graduate Proving Prime Numbers: The Equation Test for Primality
- l-1j-cho
- · Replies 9 ·
Graduate How abusive of notation is it to drop isomorphisms?
- icantadd
- · Replies 2 ·
Graduate A proposed Hamiltonian operator for Riemann Hypothesis
- zetafunction
- · Replies 32 ·
Graduate Partitioning into Isomorphism Classes: Exam Q&A
- Zorba
- · Replies 3 ·
Undergrad Who wrote these Linear Algebra Notes -Thomas?
- Stephen Tashi
- · Replies 3 ·
Graduate Is Abstract Algebra the Key to Unlocking Mathematical Concepts?
- dalcde
- · Replies 4 ·
Graduate What are the prerequisites for studying Lie theory and which books should I use?
- Saussy
- · Replies 1 ·
Graduate How Do You Use Burnside’s Lemma for Dihedral Group (3) Colorings?
- Jay121
- · Replies 5 ·
Undergrad How can the Extended Euclidean Algorithm be simplified for faster computation?
- SirEllwood
- · Replies 1 ·
Graduate What is the Value of the Norm |x|_p in P-adic Analysis?
- zetafunction
- · Replies 3 ·
Undergrad Convert Axis Angle to 4x4 homogeneous matrix?
- sarah22
- · Replies 1 ·
Undergrad Help Me Solve Matrix: Show B†A† = C†
- theacerf1
- · Replies 5 ·
Undergrad Eisenstein's Criterion question.
- Omukara
- · Replies 3 ·
Graduate Linar Codes and cacluating the cosets
- Rubik
- · Replies 4 ·
Graduate Understanding the Meaning of (e1^e2)\cdote3 in Geometric Algebra
- JakeD
- · Replies 4 ·
Undergrad I am still confused how to prove that a set is a basis other than
- elabed haidar
- · Replies 5 ·
Graduate Restriction of a Linear Transformation
- dward1996
- · Replies 2 ·
High School Could any one tell me the meaning and the use of matrix?
- majg123
- · Replies 2 ·
Derivative of SVD V and U matrices
- saulg
- · Replies 2 ·
Undergrad Can someone recommend me a 2nd year linear algebra textbook?
- BingoGod
- · Replies 2 ·
Graduate Sylow's Theorem (normal subgroups)
- Omukara
- · Replies 2 ·
Undergrad What is the nullity of a zero matrix?
- SprucerMoose
- · Replies 2 ·
Graduate What Happens When the V Matrix is Zero in SVD?
- SELFMADE
- · Replies 5 ·
Undergrad Linear Dependence of Matrix Vectors
- zplot
- · Replies 5 ·
Undergrad Applied Algebra: Examples & Interesting Uses
- Skrew
- · Replies 3 ·
Graduate Order Formula Under Second Isomorphism Theorem: Does it Hold?
- quasar987
- · Replies 3 ·
Undergrad Check Linear Dependence/Independence of Vectors Without Calculator
- aliaze1
- · Replies 1 ·
Undergrad Does the Determinant of a Square Matrix Have a Physical Meaning?
- Garvit Goel
- · Replies 1 ·
Undergrad Does a Zero Eigenvalue Imply a Non-Invertible Matrix?
- aliaze1
- · Replies 4 ·
Graduate Integrate Matrix: Can Matrices Have Antiderivatives?
- daudaudaudau
- · Replies 4 ·
Graduate What are the properties of central derivations in Lie algebras?
- Pivych
- · Replies 1 ·
Graduate Diagonalizability dependent on nullity and inner product?
- meboxley
- · Replies 3 ·
Graduate Solve Unique Decomposition Problem: Linear Algebra Vectors & Scalars
- arshavin
- · Replies 1 ·
Graduate Difference Tables: Finding Polynomial & Exponential Functions
- Nimz
- · Replies 10 ·
Graduate Diagonalization of complex symmetric matrices
- petergreat
- · Replies 6 ·
Undergrad Solving a set of quadratic equations
- biomedicalhat
- · Replies 20 ·
High School Solving Rational Operations Questions
- ber8
- · Replies 4 ·
Graduate Are the definitions of vector in Linear Algebra and physics compatible?
- MManuel Abad
- · Replies 4 ·
Graduate Musical scale in magnetic field vibrations theory101
- word21
- · Replies 1 ·
Undergrad Solving a Matrix System: a^2 - 1, a, b
- lolimcool
- · Replies 6 ·
Undergrad How is it called this function ?
- zetafunction
- · Replies 4 ·
Graduate Trace formula in noncommutative geometry and the Riemann hypothesis
- crowlogic
- · Replies 4 ·
High School How to Write Out a 2 x 3 Matrix in Linear Algebra?
- lolimcool
- · Replies 7 ·
Graduate Free finitely generated module has finite rank?
- quasar987
- · Replies 1 ·
Graduate Does Anyone Know an Example of an Algebra Over GF(2) With Specific Properties?
- Lie
- · Replies 8 ·
Graduate Orthogonality theorem proof method question
- SELFMADE
- · Replies 1 ·
Graduate Finding Generators for a Group G when Generators for Imh and Kerh are Known
- Bacle
- · Replies 1 ·
Undergrad Matrix HELP! - Finding Matrices for AM = -MA
- theacerf1
- · Replies 2 ·
Graduate Anybody here who could explain to me in the simplest terms what is so
- Lapidus
- · Replies 1 ·
Graduate Solving Quaternion Confusion for 3D Orientation
- SGGSJi
- · Replies 3 ·
Undergrad HELP Detrivative matrix/system of equations
- theacerf1
- · Replies 3 ·
Undergrad How Can I Best Prepare for a Proof-Based Linear Algebra Course?
- randomperson8
- · Replies 3 ·
Graduate Dirichlet eta approximate functional equation
- Simpel
- · Replies 2 ·
Graduate Trying to understand Galois theory book explanation
- jostpuur
- · Replies 6 ·
Undergrad Find Closed-Form Expression for Summation of n^2
- mnb96
- · Replies 5 ·
Graduate Finding Infinite Units in \mathbb{Q}(\sqrt{21}) Using Continued Fractions
- math_grl
- · Replies 4 ·
Graduate Hermitian Matrix: Real & Imaginary Parts
- EngWiPy
- · Replies 4 ·
Undergrad How Are Cosets Related to Normal Subgroups?
- walwaldoggy
- · Replies 1 ·
Undergrad Basis of vector spaces over fields
- magicarpet512
- · Replies 4 ·
Undergrad Number of ways to choose N integers that sum up to X
- mnb96
- · Replies 2 ·
Graduate Question on a particular collection of sets
- turiya
- · Replies 5 ·
Undergrad Integer factorization given enough primes
- soandos
- · Replies 8 ·
Graduate Can Quaternions Be Generalized Beyond Four Dimensions?
- lpetrich
- · Replies 11 ·
Undergrad Who First Utilized Rigorous Proofs in Mathematics?
- MatheusMkalo
- · Replies 4 ·
Graduate Clifford Algebras: Finding Matrix Representations Cl(0,n)
- sjhanjee
- · Replies 2 ·
Graduate Hermitian operators without considering them as Matrices
- Master J
- · Replies 1 ·
Undergrad Products of disjoint cycles. Explanation please.
- tamintl
- · Replies 5 ·
Graduate Pattern to indexes of deletions in a seive.
- Stephen Tashi
- · Replies 2 ·
Graduate Expressing matricies as vectors
- SprucerMoose
- · Replies 7 ·
Graduate Proving extrema using taylor series and Hessian Matrix
- dispiriton
- · Replies 4 ·
Undergrad When we say that two algebraic expressions, [tex]f(x_1,x_2,\cdots
- dalcde
- · Replies 4 ·
Graduate Matrix equation - numeric solving
- Anthus
- · Replies 2 ·
Graduate Garrity's Formula: Ordering Covariant Alternating Tensors
- Rasalhague
- · Replies 1 ·
Graduate Proving the Even Rank of Skew Symmetric Matrices: Induction and Other Methods
- bernoli123
- · Replies 1 ·
Graduate Jordan Normal Form physical applications
- Maybe_Memorie
- · Replies 2 ·
Graduate Countable Sets: Cantor's Theorem & Galileo's Paradox
- Hippasos
- · Replies 1 ·
Graduate Is a Matrix Zero if Its Inner Product with All Vector Combinations Equals Zero?
- bernoli123
- · Replies 2 ·
Undergrad Rank of AB: How nxn Matrices A & B Determine Rank
- bernoli123
- · Replies 2 ·
Graduate How can the existence of the tensor product be proven in Federer's construction?
- turiya
- · Replies 2 ·
Graduate Subgroup Order in Groups of Divisible Orders: Proof or Counterexamples?
- arshavin
- · Replies 1 ·
Graduate Groups and orthogonal matrices question
- vr88
- · Replies 7 ·
Graduate Show that if all the row sums of a matrix A belong to C (nxm) are
- bernoli123
- · Replies 2 ·
Graduate Linearly dependent numbers over the rationals
- kyryk
- · Replies 2 ·