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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Graduate Solution for Goldbach Conjecture
- hayanisel
- · Replies 6 ·
Undergrad Can You Find a Number n with Rational Square Roots for n-7, n, and n+7?
- musicgold
- · Replies 1 ·
Undergrad Extending a vector in 3D space by a known magnitude
- cabala
- · Replies 3 ·
Graduate Can there be more than one definition of a GROUP?
- Paulibus
- · Replies 4 ·
Undergrad Is image and range of a LT the same thing ? (Why are they named like that)
- sid9221
- · Replies 29 ·
Undergrad How can you determine if a vector is perpendicular to a plane?
- artkingjw
- · Replies 1 ·
Undergrad The Odd Only Spiral (A twist on the ulam spiral with an interesting property)
- trini
- · Replies 9 ·
How Do Sets W, Y, and Z Intersect?
- rcs1
- · Replies 1 ·
High School How can I solve equations by rearranging them?
- hamerish
- · Replies 2 ·
Graduate Relationship between eigenvalues and matrix rank
- Fluger
- · Replies 4 ·
Find the Inverse of a Vector: Solve for x in Terms of b
- OhMyMarkov
- · Replies 2 ·
Undergrad Linear independance and span (Definition)
- sid9221
- · Replies 2 ·
Graduate So, no prefixes...Do planes in higher dimensions satisfy Euclid's definition?
- AlonsoMcLaren
- · Replies 1 ·
Graduate Inductive proof of the lines in the plane recurrence relation
- Miranden
- · Replies 2 ·
Undergrad Nonhomogeneous system of linear equations
- salistoun
- · Replies 2 ·
Graduate Why must Hom sets be disjoint for different pairs of objects?
- Arian.D
- · Replies 15 ·
Graduate Homogeneous least squares
- azay
- · Replies 1 ·
Graduate Is (n+1)(2n+1) Always a Multiple of 6 for All Natural Numbers n?
- inverse
- · Replies 3 ·
Graduate Proving one element in the symmetric group (s>=3) commutes with all element
- emath
- · Replies 2 ·
Undergrad About vector space and subspaces
- applechu
- · Replies 3 ·
Graduate For separable extensions, why may we argue as if they're finite?
- imurme8
- · Replies 6 ·
Undergrad How to prove a function is vector valued
- friend
- · Replies 1 ·
Undergrad Transformation Matrix from x-axis
- Philosophaie
- · Replies 2 ·
Graduate Determine optimal vectors for least squares
- Pete99
- · Replies 4 ·
Graduate Counting Theorem: Creating Squares w/ 8 Equilateral Triangles
- rohan03
- · Replies 2 ·
High School Dimension of the circle in the plane is 1
- LikeMath
- · Replies 10 ·
Graduate 2^k+1 never divisible by u(8x-1) in integers
- nkpstn
- · Replies 6 ·
Graduate Eigenvalue Solvers for Structural Dynamics
- Ronankeating
- · Replies 5 ·
Graduate Determinant of symmetric matrix with non negative integer element
- golekjwb
- · Replies 3 ·
Graduate Is the Determinant of a Symmetric Matrix with Zero Diagonal Elements Non-Zero?
- golekjwb
- · Replies 2 ·
Graduate Proving Adjoint of an Operator in Hilbert Space: Common Mistakes Explained
- spaghetti3451
- · Replies 9 ·
Graduate Prime Ideals: Abstract Algebra Example
- naturemath
- · Replies 9 ·
Undergrad Finding basis of a column space/row space
- ashina14
- · Replies 1 ·
Graduate Understanding the Normalization of Pauli Matrix in Quantum Mechanics
- Lizwi
- · Replies 3 ·
Undergrad Find if Parametric equations are perpendicular
- salistoun
- · Replies 3 ·
Graduate How to rotate a 3D complex vector?
- LingliRS
- · Replies 6 ·
Graduate Images of f1 and f2 in the quotient ring R/(x1,x2)R
- naturemath
- · Replies 7 ·
Undergrad Are There Relationships Between the Column Vectors of a Matrix and Its Inverse?
- srfriggen
- · Replies 5 ·
Graduate Proving the Relationship between Operators on a Finite-Dimensional Space
- alexfloo
- · Replies 9 ·
Graduate Are There Ordered Fields Beyond Real Numbers and Rationals?
- ashok vardhan
- · Replies 1 ·
Graduate Why is x^p - a irreducible over a field of characteristic p?
- imurme8
- · Replies 4 ·
Undergrad Positive definitive matrix in wikipedia
- de_student
- · Replies 3 ·
Graduate Demonstrating that (im τ) \cap (ker τ) is the Zero Space
- alexfloo
- · Replies 1 ·
Undergrad Can the Angle Between Two 7-Dimensional Vectors Be Calculated?
- robertjford80
- · Replies 2 ·
Graduate Can a Non-Zero Tensor Product of Modules Be Zero?
- Arian.D
- · Replies 20 ·
Finding elements in a quotient ring
- hmmmmm
- · Replies 6 ·
Proving Z[√(-3)] is not a euclidean domain
- hmmmmm
- · Replies 1 ·
Graduate A way to express scalar triple product from inter-vector angles?
- DanAbnormal
- · Replies 3 ·
Graduate Nonzero divisor in a quotient ring
- naturemath
- · Replies 6 ·
What Are the Units in the Ring $\mathbb{Z}[\sqrt{-7}]$?
- hmmmmm
- · Replies 1 ·
Graduate Multiplication of incompatible matrices
- attaran
- · Replies 6 ·
High School Why substitution method works for systems of equations
- DrummingAtom
- · Replies 12 ·
Graduate Efficiency and the Euclidean Algorithm
- Buri
- · Replies 2 ·
Finding the units in the ring F[x]
- hmmmmm
- · Replies 1 ·
Undergrad Inverse of Lower Triangular Matrix
- Jes1x1
- · Replies 21 ·
Graduate About the number of irreducible elements in UFD ring
- julypraise
- · Replies 7 ·
Graduate The Asymtotic Eiegen Values of a Circulant matrix
- EngWiPy
- · Replies 1 ·
Graduate Dimension formulas for Lie algebras
- eherrtelle59
- · Replies 1 ·
Maximizing Your Tips and Tricks for Focusing on Key Elements
- phys-if
- · Replies 1 ·
Finding All $2\times 2$ Matrices That Satisfy $A^2=A$
- juantheron
- · Replies 1 ·
Undergrad Can a Field Also Be a Vector Space?
- jpcjr
- · Replies 7 ·
Graduate What is meant by can be identified with
- jpcjr
- · Replies 2 ·
Undergrad Determinats,dependence, span, basis.
- am_knightmare
- · Replies 3 ·
Graduate Capturing n basis vectors by single one
- valjok
- · Replies 8 ·
Graduate Galois Theory: Degree of Q(ω)/Q & Why 6 Basis Vectors?
- Elwin.Martin
- · Replies 1 ·
Recommendations for a Massive Algebra Text
- Chris11
- · Replies 3 ·
What is the Correct Method to Determine the Coplanarity of Vectors?
- GreenGoblin
- · Replies 14 ·
Undergrad Is a vector in a vectorspace its own projection onto that vectorspace?
- NoOne0507
- · Replies 1 ·
Graduate Which algebraic structure applies when solving linear systems with two variables?
- ksmith630
- · Replies 23 ·
Algebraic Structure to solve a linear system of 2 variables?
- ksmith630
- · Replies 5 ·
Graduate Eigenvalue of overlapping block matrix
- eegyan
- · Replies 1 ·
Graduate How Does Modular Arithmetic Prove Divisibility by 17 in Number Theory?
- Gravitational
- · Replies 11 ·
Graduate Solutions to Polignac's and Twin Prime's Conjecture
- moetincube
- · Replies 20 ·
Undergrad How can a basis in a vector space be used to determine linear independence?
- Krovski
- · Replies 2 ·
Condition number of a 2×2 matrix and validity of a truncated max norm
- timmy1
- · Replies 1 ·
Graduate Is H X-s-permutable in N Given X May Not Be a Subset of N?
- moont14263
- · Replies 4 ·
Graduate Quotient groups of permutations
- Jesssa
- · Replies 3 ·
Find polynomials in S, then find basis for ideal (S)
- rapid1
- · Replies 3 ·
Graduate Find Best Combinations of Non-Overlapping Matrix Elements
- JeffreyP
- · Replies 1 ·
Undergrad What Are the Requirements for a Subset to Be Considered a Subspace?
- Krovski
- · Replies 9 ·
Graduate Ring Theory: Eisenstein's Criterion & Z[x]/pZ[x]
- Mathguy15
- · Replies 6 ·
Graduate Combining two sets of regular sequence
- naturemath
- · Replies 8 ·
Graduate Subfields of finitely generated algebras
- Kreizhn
- · Replies 9 ·
Graduate Prove Eigenvalue λ=0 is Only Solution to Ax=0 for All x
- AsprngMathGuy
- · Replies 9 ·
Undergrad How do you tell what a vector space will look like from it's spanning set.
- brandy
- · Replies 3 ·
Graduate What symbol is used for linear operator actions?
- sunjin09
- · Replies 5 ·
Undergrad Reminder on how to find eigenvectors
- eherrtelle59
- · Replies 2 ·
Undergrad [Numerical] Why is it better to solve Ax=b instead of calculating inv(A)
- nonequilibrium
- · Replies 4 ·
Undergrad How to Find the Sum of Roots of the Polynomial \( x^{100} - 3x + 2 = 0 \)?
- Cade
- · Replies 6 ·
Undergrad What is an Integral Solution in Equations?
- teddyayalew
- · Replies 4 ·
Graduate Upper Hessenberg zero-column sum matrix
- mansolo
- · Replies 1 ·
Undergrad Inverse of Matrix - Product Form
- phiby
- · Replies 1 ·
Is this the perfect outfit for an Abstract Algebra class?
- dijkarte
- · Replies 16 ·
Graduate Is an infinite series of random numbers possible?
- Loren Booda
- · Replies 89 ·
Graduate How Accurate Are the Bounds for Eigenvalues in Circulant Matrices?
- EngWiPy
- · Replies 3 ·
Graduate Product of Ideals makes no sense to me
- Credulous
- · Replies 4 ·
Graduate Why <v,v> >= 0? Understanding Inner Product Definition
- 9k9
- · Replies 8 ·
Polynomial of degree 3. splitting field.
- caffeinemachine
- · Replies 3 ·
Undergrad Characteristic equation formula for a nxn matrix ?
- sid9221
- · Replies 1 ·
Undergrad Difference between an eigenspace and an eigenvector ?
- sid9221
- · Replies 1 ·