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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Finding smallest magnitude eigen value
- akerman
- · Replies 7 ·
Graduate Are Hyperplanes Quotient Spaces?
- Chacabucogod
- · Replies 15 ·
Graduate M-<M> for M operator: why not a mismatch?
- nomadreid
- · Replies 2 ·
Speeding up self-multiplication of a reshaped vector
- CyanBC
- · Replies 2 ·
Eigenvalues of Laplacian are non-negative
- tarnat
- · Replies 1 ·
Ring Theory texts and "right notation" for maps/functions
- Math Amateur
- · Replies 6 ·
Is There a Typo in the Refinement of Schanuel's Lemma in Passman's Book?
- Sudharaka
- · Replies 4 ·
Finitely Generated Modules and Artinian Rings
- Sudharaka
- · Replies 6 ·
How do I find and use a change-of-basis matrix from (4,7) to (2,1)?
- dingo
- · Replies 16 ·
Is a Prime Artinian Ring Simple?
- Sudharaka
- · Replies 1 ·
Ring Epimorphism and Nil Radical
- Sudharaka
- · Replies 5 ·
How Do Scalars Relate to Unit Vectors Inclined at Angle Theta?
- Saitama
- · Replies 13 ·
What are some recommended texts for studying algebraic topology?
- Math Amateur
- · Replies 3 ·
New to Linear Algebra - LU Decomposition
- pp123123
- · Replies 2 ·
Proving ψ' is a homomorphism of abelian groups in D&F 10.5
- Math Amateur
- · Replies 3 ·
Exterior powers of a vector space and its dual space
- Jakob1
- · Replies 2 ·
Graduate Higher dimensional cross products
- zephyr5050
- · Replies 3 ·
Solving 15 + 1/2 = 0.60(20x)
- kmooney
- · Replies 19 ·
Graduate Finding satisfying matrix for a particular condition
- Seydlitz
- · Replies 2 ·
How Can Group Homomorphisms Prove Injectivity and Surjectivity?
- Math Amateur
- · Replies 10 ·
Graduate Fourier transform vs Inner product
- Bipolarity
- · Replies 3 ·
How to Calculate the Area Between Two Vectors in R^n?
- poissonspot
- · Replies 1 ·
Invariant subspaces of representations
- Carla1985
- · Replies 9 ·
Graduate LTI system and sinusoids/complex exponentials
- Bipolarity
- · Replies 7 ·
Category Theory - Isomorphisms of Posets
- Math Amateur
- · Replies 6 ·
Solving for X in Matrix Equation: C^TA-XB=B^{-1}-X
- theakdad
- · Replies 2 ·
Category Theory - is it just "abstract nonsense"
- Math Amateur
- · Replies 12 ·
Graduate Product of the conjugates of a polynomial
- coquelicot
- · Replies 1 ·
Proving the Planarity of a Quadrilateral using Vector Algebra
- Saitama
- · Replies 4 ·
Graduate Why are free groups significant in group theory?
- James MC
- · Replies 7 ·
Graduate Free modules, bases, and notation in module theory
- gianeshwar
- · Replies 2 ·
Exact Sequences - Split Sequences and Splitting Homomorphisms
- Math Amateur
- · Replies 4 ·
Graduate Is the Jacobian Equal to the Quotient of Scale Factors?
- Jhenrique
- · Replies 1 ·
Undergrad Unit vector in cylindrical coordinates
- JasonHathaway
- · Replies 1 ·
Graduate Modifying a transformation based on yaw-pitch-roll or phi-theta-psi
- amrbekhit
- · Replies 2 ·
Graduate Solving nonlinear equations for yaw/pitch/roll given rotor/quaternio
- chogg
- · Replies 1 ·
Undergrad Is 1D Space a Subspace of 2D Space in Physics?
- gianeshwar
- · Replies 4 ·
Exact Sequences - Isomorphisms Resulting from Exact Sequences
- Math Amateur
- · Replies 3 ·
Graduate (empirical) relation between MSE and condition number
- divB
- · Replies 1 ·
Each equivalence class is a power of [g]
- evinda
- · Replies 3 ·
Graduate Shilov's Linear Algebra Subspace Question
- Chacabucogod
- · Replies 11 ·
State Matrix Derivation for Orbital Mechanics
- Dustinsfl
- · Replies 1 ·
Graduate Can Mercer's theorem generalize to square integrable functions on ℝ²?
- mnb96
- · Replies 1 ·
Tensor Products - Example 8 - Dummit and Foote - Section 10.4, page 370
- Math Amateur
- · Replies 5 ·
How to interpret the action (a+I)r in R/I as a right R-module
- Math Amateur
- · Replies 1 ·
Graduate Ideal representation for vectors/covectors
- Jhenrique
- · Replies 2 ·
Graduate What are reliable references for the theorem on integral extensions?
- coquelicot
- · Replies 9 ·
Vector Algebra: Finding the Angle Between Two Vectors
- Saitama
- · Replies 6 ·
Simple Problem - Establishing an Isomorphism
- Math Amateur
- · Replies 1 ·
Undergrad Free columns-combinations of columns?
- sarvesh0303
- · Replies 2 ·
Factor a^4+b^4: Simplify \(a^4 + b^4 \)
- Dustinsfl
- · Replies 6 ·
Tensor product relation (ab)⊗1 = ab(1⊗1) in ℤ/m ℤ ⊗ ℤ/n ℤ
- Math Amateur
- · Replies 16 ·
Graduate Why do the rows of C equal A in row reduced echelon form?
- SmilingDave
- · Replies 9 ·
Undergrad Why does matrix multiplication work in dimensions beyond 3?
- RufusDawes
- · Replies 9 ·
Why φ is well-defined when d divides m and n
- Math Amateur
- · Replies 2 ·
Undergrad Finding a Transformation Matrix for Matching Signs in a Matrix
- Phong
- · Replies 1 ·
Simple Problem concerning tensor products
- Math Amateur
- · Replies 1 ·
High School Differences between row and column vectors
- Quarlep
- · Replies 25 ·
Undergrad Finding Angle Between Two Vectors Using Inner Products
- Cameron95
- · Replies 7 ·
Graduate Proving the Falsehood of the Homomorphism Property for Ω:Zp^n→Zp^n
- Bachelier
- · Replies 5 ·
Undergrad Resources for learning function spaces and polynomial interpolation
- mathsdespair
- · Replies 5 ·
Graduate How Did the Definition of a Field Evolve to Require Commutativity?
- Stephen Tashi
- · Replies 1 ·
Matrix transpose A^TB and solving underdetermined systems
- khehrap
- · Replies 4 ·
Graduate What is the difference between unit vectors v and r?
- Jhenrique
- · Replies 1 ·
Graduate Why this property of the product of two matrices
- senmeis
- · Replies 5 ·
Tensor Products - Dummit and Foote Section 10.4, Example 2, page 363
- Math Amateur
- · Replies 4 ·
Tensor Products - Dummit and Foote Section 10.4 Corollary 9
- Math Amateur
- · Replies 37 ·
High School Can We Subtract Matrices with Different Dimensions?
- Quarlep
- · Replies 1 ·
How do you find frobenius canonical form of a matrix?
- catsarebad
- · Replies 1 ·
Undergrad Theory for find the eigenvules of a matrix
- Jhenrique
- · Replies 4 ·
Proving Linear Dependence of r1,r2,r3 Given a,b,c ≠ 0
- Suvadip
- · Replies 2 ·
Solve Linear Equations: 1/5(1/3x-5)=1/3(3-1/x)
- abhishekdas1
- · Replies 7 ·
Two sets generate the same vector space
- Suvadip
- · Replies 1 ·
Graduate If A, B Hermitian, then <v|AB|v>=<v|BA|v>*. Why?
- nomadreid
- · Replies 2 ·
Undergrad Guidance: Convex hull, null space and convex basis etc
- Inner_Peace
- · Replies 3 ·
Could someone recommend me pure math linear algebra book?
- catsarebad
- · Replies 12 ·
Graduate Is every norm preserved under a unitary map?
- Bipolarity
- · Replies 2 ·
How to Prove Certain Matrix Operations and Understand Their Properties?
- akerman
- · Replies 13 ·
Greatest common divisor of a and b
- mathmari
- · Replies 8 ·
Is There Only One Possible Z-Linear Map from T to T'?
- Math Amateur
- · Replies 18 ·
Graduate Hilbert, Banach and Fourier theory
- center o bass
- · Replies 3 ·
What is vector in linear algebra
- Suvadip
- · Replies 17 ·
Show all invariant subspaces are of the form
- catsarebad
- · Replies 2 ·
Graduate Can non-matrix groups have trivial centre?
- gentsagree
- · Replies 3 ·
Tensor Products - The free Z-module construction
- Math Amateur
- · Replies 10 ·
Graduate Does there exist a canonical projection from Z^p-1 to Z_p
- NoodleDurh
- · Replies 3 ·
Tensor Products - D&F - Extension of the scalars
- Math Amateur
- · Replies 2 ·
History of Algebra: Modern Algebra, Ring Theory, Algebraic Topology
- Math Amateur
- · Replies 6 ·
Undergrad Why do we learn Dual Space so early?
- Vorde
- · Replies 4 ·
Undergrad How do I calculate the solid angle formed by three vectors?
- Jhenrique
- · Replies 2 ·
Tensor Products - Dummit and Foote - Section 10-4, Theorem 8, page 362
- Math Amateur
- · Replies 2 ·
Graduate Row selection of matrix and the condition number
- divB
- · Replies 10 ·
Graduate Lie theory - sum of nilpotent ideals is nilpotent?
- Silversonic
- · Replies 2 ·
Undergrad Can a Linear Transformation Satisfy One Property but Not the Other?
- Gridvvk
- · Replies 4 ·
Matrix Exponential and series idenfication
- Dustinsfl
- · Replies 6 ·
Understanding How to Solve Vector Magnitudes and Angles
- bergausstein
- · Replies 1 ·
Solving a system of four equations with symmetric coefficients
- anemone
- · Replies 7 ·
Undergrad Having trouble understanding minimal polynomial problems
- catsarebad
- · Replies 4 ·
Undergrad A deeper understanding of the determinate
- TackyJan
- · Replies 8 ·
Undergrad Why does the book call it 'definition of addition' in matrix proofs?
- leehufford
- · Replies 3 ·