Linear and Abstract Algebra Forum

Post thread
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.
Graduate Trivial zeros of Zeta Riemann Function
  • · Replies 1 ·
Replies
1
Views
4K
High School Proving the Infinity of Prime Numbers: Is There a Method?
  • · Replies 6 ·
Replies
6
Views
3K
High School Algebra vs Geometry: The Debate of Natural Talent in High School
  • · Replies 19 ·
Replies
19
Views
20K
Undergrad Definitions of vector space and subspace
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Real vs. Complex: Understanding the Difference Between su(2) and sl(2) Algebras
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Explaining Ultimate Factorial Value in x^n Integer Series
  • · Replies 3 ·
Replies
3
Views
4K
Graduate What is an inner product and how can it be verified for polynomials?
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Trasformation of vectors component when changing coordinate system
  • · Replies 10 ·
Replies
10
Views
3K
Undergrad What is the significance of nontrivial solutions in linear algebraic equations?
  • · Replies 2 ·
Replies
2
Views
6K
Undergrad Cramers Rule and unique solutions
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Isomorphism only if it is a linear transformation?
  • · Replies 12 ·
Replies
12
Views
5K
Graduate Proving Prime Numbers: The Equation Test for Primality
  • · Replies 9 ·
Replies
9
Views
4K
Graduate How abusive of notation is it to drop isomorphisms?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate A proposed Hamiltonian operator for Riemann Hypothesis
  • · Replies 32 ·
2
Replies
32
Views
9K
Graduate Partitioning into Isomorphism Classes: Exam Q&A
  • · Replies 3 ·
Replies
3
Views
4K
Undergrad Who wrote these Linear Algebra Notes -Thomas?
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Is Abstract Algebra the Key to Unlocking Mathematical Concepts?
  • · Replies 4 ·
Replies
4
Views
4K
Graduate What are the prerequisites for studying Lie theory and which books should I use?
  • · Replies 1 ·
Replies
1
Views
4K
Graduate How Do You Use Burnside’s Lemma for Dihedral Group (3) Colorings?
  • · Replies 5 ·
Replies
5
Views
6K
Undergrad How can the Extended Euclidean Algorithm be simplified for faster computation?
  • · Replies 1 ·
Replies
1
Views
4K
Graduate What is the Value of the Norm |x|_p in P-adic Analysis?
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Convert Axis Angle to 4x4 homogeneous matrix?
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Help Me Solve Matrix: Show B†A† = C†
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Eisenstein's Criterion question.
  • · Replies 3 ·
Replies
3
Views
4K
Graduate Linar Codes and cacluating the cosets
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Understanding the Meaning of (e1^e2)\cdote3 in Geometric Algebra
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad I am still confused how to prove that a set is a basis other than
  • · Replies 5 ·
Replies
5
Views
9K
Graduate Restriction of a Linear Transformation
  • · Replies 2 ·
Replies
2
Views
4K
High School Could any one tell me the meaning and the use of matrix?
  • · Replies 2 ·
Replies
2
Views
2K
Derivative of SVD V and U matrices
  • · Replies 2 ·
Replies
2
Views
4K
Undergrad Can someone recommend me a 2nd year linear algebra textbook?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Sylow's Theorem (normal subgroups)
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad What is the nullity of a zero matrix?
  • · Replies 2 ·
Replies
2
Views
14K
Graduate What Happens When the V Matrix is Zero in SVD?
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Linear Dependence of Matrix Vectors
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Applied Algebra: Examples & Interesting Uses
  • · Replies 3 ·
Replies
3
Views
5K
Graduate Order Formula Under Second Isomorphism Theorem: Does it Hold?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Check Linear Dependence/Independence of Vectors Without Calculator
  • · Replies 1 ·
Replies
1
Views
13K
Undergrad Does the Determinant of a Square Matrix Have a Physical Meaning?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Does a Zero Eigenvalue Imply a Non-Invertible Matrix?
  • · Replies 4 ·
Replies
4
Views
5K
Graduate Integrate Matrix: Can Matrices Have Antiderivatives?
  • · Replies 4 ·
Replies
4
Views
3K
Graduate What are the properties of central derivations in Lie algebras?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Diagonalizability dependent on nullity and inner product?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Solve Unique Decomposition Problem: Linear Algebra Vectors & Scalars
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Difference Tables: Finding Polynomial & Exponential Functions
  • · Replies 10 ·
Replies
10
Views
20K
Graduate Diagonalization of complex symmetric matrices
  • · Replies 6 ·
Replies
6
Views
8K
Undergrad Solving a set of quadratic equations
  • · Replies 20 ·
Replies
20
Views
16K
High School Solving Rational Operations Questions
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Are the definitions of vector in Linear Algebra and physics compatible?
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Musical scale in magnetic field vibrations theory101
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Solving a Matrix System: a^2 - 1, a, b
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad How is it called this function ?
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Trace formula in noncommutative geometry and the Riemann hypothesis
  • · Replies 4 ·
Replies
4
Views
4K
High School How to Write Out a 2 x 3 Matrix in Linear Algebra?
  • · Replies 7 ·
Replies
7
Views
4K
Graduate Free finitely generated module has finite rank?
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Does Anyone Know an Example of an Algebra Over GF(2) With Specific Properties?
  • · Replies 8 ·
Replies
8
Views
3K
Graduate Orthogonality theorem proof method question
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Finding Generators for a Group G when Generators for Imh and Kerh are Known
  • · Replies 1 ·
Replies
1
Views
5K
Undergrad Matrix HELP! - Finding Matrices for AM = -MA
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Anybody here who could explain to me in the simplest terms what is so
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Solving Quaternion Confusion for 3D Orientation
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad HELP Detrivative matrix/system of equations
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad How Can I Best Prepare for a Proof-Based Linear Algebra Course?
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Dirichlet eta approximate functional equation
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Trying to understand Galois theory book explanation
  • · Replies 6 ·
Replies
6
Views
4K
Undergrad Find Closed-Form Expression for Summation of n^2
  • · Replies 5 ·
Replies
5
Views
5K
Graduate Finding Infinite Units in \mathbb{Q}(\sqrt{21}) Using Continued Fractions
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Hermitian Matrix: Real & Imaginary Parts
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad How Are Cosets Related to Normal Subgroups?
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Basis of vector spaces over fields
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Number of ways to choose N integers that sum up to X
  • · Replies 2 ·
Replies
2
Views
11K
Graduate Question on a particular collection of sets
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Integer factorization given enough primes
  • · Replies 8 ·
Replies
8
Views
3K
Graduate Can Quaternions Be Generalized Beyond Four Dimensions?
  • · Replies 11 ·
Replies
11
Views
4K
Undergrad Who First Utilized Rigorous Proofs in Mathematics?
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Clifford Algebras: Finding Matrix Representations Cl(0,n)
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Hermitian operators without considering them as Matrices
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Products of disjoint cycles. Explanation please.
  • · Replies 5 ·
Replies
5
Views
8K
Graduate Pattern to indexes of deletions in a seive.
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Expressing matricies as vectors
  • · Replies 7 ·
Replies
7
Views
2K
Graduate Proving extrema using taylor series and Hessian Matrix
  • · Replies 4 ·
Replies
4
Views
5K
Undergrad When we say that two algebraic expressions, [tex]f(x_1,x_2,\cdots
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Matrix equation - numeric solving
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Garrity's Formula: Ordering Covariant Alternating Tensors
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Proving the Even Rank of Skew Symmetric Matrices: Induction and Other Methods
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Jordan Normal Form physical applications
  • · Replies 2 ·
Replies
2
Views
4K
Graduate Countable Sets: Cantor's Theorem & Galileo's Paradox
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Is a Matrix Zero if Its Inner Product with All Vector Combinations Equals Zero?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Rank of AB: How nxn Matrices A & B Determine Rank
  • · Replies 2 ·
Replies
2
Views
3K
Graduate How can the existence of the tensor product be proven in Federer's construction?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Subgroup Order in Groups of Divisible Orders: Proof or Counterexamples?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Groups and orthogonal matrices question
  • · Replies 7 ·
Replies
7
Views
3K
Graduate Show that if all the row sums of a matrix A belong to C (nxm) are
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Linearly dependent numbers over the rationals
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Cleaning up vocabulary and concepts
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Generalization of Lines, Planes (Finite Fields)
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Is there a symbol for indicating one vector space is a subspace of another?
  • · Replies 3 ·
Replies
3
Views
28K
Graduate How to Represent Set S to Distinguish a Single n from All Natural Numbers?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Finding eigenvalues of a 3 x 3 matrix
  • · Replies 2 ·
Replies
2
Views
5K
Graduate Is the Product of A and An in a Cyclic Group of Order n Outside the Group?
  • · Replies 3 ·
Replies
3
Views
2K