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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Dimension of the space of skew-symmetric bilinear functions
- smile1
- · Replies 1 ·
Is the Function f Non-Singular and Positive?
- Sudharaka
- · Replies 1 ·
Undergrad Different Versions of a Plane in R^3 (The Plane, The Plane)
- WWGD
- · Replies 2 ·
Undergrad What Can Be Said About the Rows and Columns of \(A^TA\)?
- Karnage1993
- · Replies 4 ·
Orders of elements for rotational symmetries of cube
- kalish1
- · Replies 2 ·
Graduate Algebriac Geometry - Morphisms of Algebraic Sets
- Math Amateur
- · Replies 3 ·
Graduate Algebriac Geometry - Morphisms of Algebraic Sets
- Math Amateur
- · Replies 2 ·
Prove $R\ncong R\left[x\right]$ for Noetherian Ring
- chuyenvien94
- · Replies 1 ·
Prove that the quotient space R^n / U is isomorphic to the subspace W
- toni07
- · Replies 1 ·
Undergrad Row/Column space in relation to row operations
- Gridvvk
- · Replies 4 ·
Graduate Affine transformations and their inverse
- hkcool
- · Replies 2 ·
Graduate Can Linear Transformations Occur Between Infinite and Finite Dimensions?
- ajayguhan
- · Replies 5 ·
Graduate How to find the number of elements with a particular order in a group?
- math.geek
- · Replies 1 ·
Graduate Composition of Functions - in the context of morphisms in algebraic ge
- Math Amateur
- · Replies 1 ·
Condition Number of sum of Matrices
- Abbas
- · Replies 3 ·
Graduate How Do Eigenvalues and Eigenvectors Connect to Fourier Transforms?
- MrAlbot
- · Replies 6 ·
Undergrad Direction of a vector relative to another vector?
- snocavotia
- · Replies 1 ·
Undergrad Unit Vectors and Vector Components
- Alexrey
- · Replies 2 ·
Graduate Does there exist a transformation between a line and a closed loop ?
- peter308
- · Replies 4 ·
QR Decomposition and Full Column Rank of A
- gucci1
- · Replies 1 ·
Undergrad Calculating the transform matrix
- cnix
- · Replies 1 ·
Graduate Abelian X-Groups and Noetherian (Abelian) X-Groups
- Math Amateur
- · Replies 3 ·
Graduate Affine Algebraic Sets - D&F Chapter 15, Section 15.1 - Example 2
- Math Amateur
- · Replies 2 ·
Graduate Affine Algebraic Sets - D&F Chapter 15, Section 15.1 - Example 3 - pag
- Math Amateur
- · Replies 2 ·
Injection, Surjection, Bijection
- KOO
- · Replies 2 ·
When there is a double root for the eigenvalue, how many eigenvectors?
- Petrus
- · Replies 1 ·
Graduate Lazy Group Proofs and Efficiently Using Categories
- Mandelbroth
- · Replies 11 ·
Graduate What Distinguishes Hilbert Spaces from Euclidean Spaces?
- ajayguhan
- · Replies 30 ·
Showing that two elements of a linearly independent Set Spans the same set
- shen07
- · Replies 2 ·
Question about problem involving gcd
- issacnewton
- · Replies 2 ·
Can this algebraic problem be solved without observation?
- anemone
- · Replies 7 ·
Hint for a problem on condition number
- kalish1
- · Replies 4 ·
Undergrad Should Abelian Be Capitalized in Mathematical Texts?
- Mandelbroth
- · Replies 3 ·
Defining Real-Valued Scalar Product in Vector Spaces
- FilipVz
- · Replies 7 ·
Inverse matrix by row reduction
- zuby
- · Replies 8 ·
Graduate Problem understanding operator algebra
- Luna=Luna
- · Replies 1 ·
Eigenfunction of \frac{d^2}{dx}-x^2: e^{-0.5x^2} with eigenvalue x^2-1
- Poirot1
- · Replies 1 ·
High School Where can I learn linear algebra online?
- Superposed_Cat
- · Replies 3 ·
Graduate 3D Rotations using complex numbers
- Septimra
- · Replies 1 ·
Undergrad Linear applications simple doubt
- TrickyDicky
- · Replies 5 ·
Proving Singular Matrix and Non-Zero Solutions: A Tutorial
- Poirot1
- · Replies 5 ·
Bilinear Function and Gramian Matrix
- Sudharaka
- · Replies 4 ·
Graduate Why do we need natural transformations?
- math.geek
- · Replies 2 ·
Undergrad Linear Operator vs Linear Function: Technical Difference
- ajayguhan
- · Replies 11 ·
Minimal Polynomial Finding Algorithm
- Sudharaka
- · Replies 5 ·
Graduate Lemma used to prove Von Staudt's Theorem
- DeadOriginal
- · Replies 1 ·
Jordan Normal Form and Root Spaces
- Sudharaka
- · Replies 11 ·
Systems of equations - further understanding
- Yankel
- · Replies 2 ·
A challenging system of equations
- Yankel
- · Replies 1 ·
Question about Sets and Functions
- LeibnizIsBetter
- · Replies 3 ·
Why a group is not isomorphic to a direct product of groups
- kalish1
- · Replies 1 ·
Graduate Conditions for Index Size in A_5 and S_5 Centralizers
- epkid08
- · Replies 1 ·
Eigenvalues and Eigenvectors over a Polynomial Ring
- Sudharaka
- · Replies 4 ·
Finding the Matrix of a Linear Transformation
- Sudharaka
- · Replies 5 ·
Direct Sum Property: Proving Uniqueness
- Sudharaka
- · Replies 2 ·
Graduate What are the prerequisites for studying category theory?
- AdrianZ
- · Replies 17 ·
Undergrad How Can I Express x in this Logarithmic Equation?
- Mohammad-Za
- · Replies 1 ·
Graduate Why Does Sum of Matrix Elements x Cofactor in Different Rows Equal Zero?
- ajayguhan
- · Replies 1 ·
Linear Transformations & Dual Space Problem
- Sudharaka
- · Replies 6 ·
Need Assistance - Can Someone Help Me?
- FilipVz
- · Replies 2 ·
Graduate Confused about choice of vector in a proof.
- Luna=Luna
- · Replies 2 ·
Writing formulas to describe isometries
- kalish1
- · Replies 1 ·
Undergrad Understanding Isomorphisms in Linear Transformations?
- Dgray101
- · Replies 1 ·
System of linear equations with a parameter
- Yankel
- · Replies 3 ·
Proving span of a Set with Scalar attached to First Element
- shen07
- · Replies 3 ·
Field Theory - Nicholson - Algebraic Extensions - Section 6.2 - Example 15
- Math Amateur
- · Replies 3 ·
Field Theory - Algebraic Extensions - D&F - Section 13.2 - Exercise 7, page 530
- Math Amateur
- · Replies 11 ·
Field Theory: Nicholson Alg Ext, Sec 6.2 Ex 13 Pg 282 Explained
- Math Amateur
- · Replies 5 ·
Finding Jordan Normal Form of Matrices
- Sudharaka
- · Replies 11 ·
Graduate Understand Lemma Lucas Theorem & Its Proof
- Max.Planck
- · Replies 6 ·
Grouping terms to start factoring.
- bergausstein
- · Replies 12 ·
Is the Irreducible Polynomial of u the Minimal Polynomial?
- Math Amateur
- · Replies 1 ·
Field Theory - Nicholson - Splitting Fields - Section 6.3 - Example 1
- Math Amateur
- · Replies 1 ·
Graduate Gaining Intuition: Linear Transforms & Coordinate Functions
- Septimra
- · Replies 1 ·
Undergrad Understanding Matrix Multiplication: A Vector-Based Explanation
- ajayguhan
- · Replies 14 ·
#23 intersecting vector equations of 2 lines
- karush
- · Replies 4 ·
Field Theory - Nicholson - Algebraic Extensions - Section 6.2 - Example 13
- Math Amateur
- · Replies 4 ·
Undergrad 3 x 3 determinant gives the volume of a parallelopiped
- ajayguhan
- · Replies 3 ·
Is the Function f a Homomorphism for Symmetry Group of a Circle?
- kalish1
- · Replies 6 ·
Undergrad Invertible matrix implies linear independent columns
- jamesb1
- · Replies 3 ·
Graduate Normed linear space vs inner product space and more
- Luna=Luna
- · Replies 15 ·
Field Theory: Nicholson, 6.2 Algebraic Extensions - Example 14 (p. 282) Solution
- Math Amateur
- · Replies 1 ·
Graduate Show that inner product is zero.
- perishingtardi
- · Replies 6 ·
Linear Transformation with No Eigenvector
- Sudharaka
- · Replies 9 ·
Geometric action of an arbitrary orthogonal 3x3 matrix with determinant -1
- kalish1
- · Replies 1 ·
Graduate Solving a System of Multiplicative Matrices
- electronicengi
- · Replies 9 ·
Field Theory - Nicholson - Algebraic Extensions - Section 6.2 - pages 281-282
- Math Amateur
- · Replies 1 ·
Diagonalizability of Linear Transformation
- Sudharaka
- · Replies 7 ·
Graduate The usefulness of proofs to a physicist: eg The Schwarz Inequality
- Luna=Luna
- · Replies 6 ·
Differential equation with eigenvector (complex number)
- Petrus
- · Replies 2 ·
Differential equation with eigenvector
- Petrus
- · Replies 6 ·
Undergrad How Can I Get This Equation From These 3 Equations
- Mohammad-Za
- · Replies 2 ·
Eigenvalues of a Linear Transformation
- Sudharaka
- · Replies 3 ·
Graduate Variation of the triangle inequality on arbitrary normed spaces
- Bipolarity
- · Replies 2 ·
Graduate Creating noncyclic groups of certain order
- Entropee
- · Replies 5 ·
Proving Root Space Invariancy of Linear Transformation
- Sudharaka
- · Replies 3 ·
Assume that S and T are linear maps from the vector space V to itself.
- toni07
- · Replies 1 ·
Undergrad Are x and ix linearly dependant or independant? (i=√-1)
- gikiian
- · Replies 2 ·
Graduate Beating linear LS on polynomials
- divB
- · Replies 6 ·
Undergrad Write the subspace spanned by vectors as a kernel of a matrix.
- bobby2k
- · Replies 7 ·