Linear and Abstract Algebra Forum

Find determinant by row reduction in echelon

Quotient Rings .... Remarks by Adkins and Weintraub ....

Is x^4+x^3+1 Irreducible in Q[x] and Z[x]?

Solve Part (b) of Nonzero Polynomials | Help Needed

Undergrad Representation Theory clarification

Undergrad Finite Integral Domains .... Adkins & Weintraub, Propn 1.5

Undergrad Understanding 4-Vector Representations in the Lorentz Group

Solving Linear Equations d= Lh/R1+R2 for L

Undergrad Division Rings & Ring Homomorphisms .... A&W Corollary 2.4 ...

Problem about equivalent conditions for a basis of a free module

Finite Integral Domains .... Adkins & Weintraub, Proposition 1.5 ....

Undergrad What is the definition of a Semi-simple Lie algebra?

Solving Inequalities Involving |x+2| & |x2 -3ax+2a2|

Question about proof of the linear independence of a dual basis

Undergrad Clarifying a corollary about Quadratic Forms

Undergrad Solutions to equations involving linear transformations

Undergrad Linear programming -- Bland rule degeneracy

Simple Modules and Maximal Right Ideals .... Bland, Proposition 6.1.7 ....

Undergrad Understanding Hilbert Vector Spaces

A problem about submodules in "Advanced Modern Algebra" of Rotman

Proving Finite subgroups of the multiplicative group of a field are cyclic

Undergrad Can we construct a Lie algebra from the squares of SU(1,1)

Graduate What separates Hilbert space from other spaces?

About a variant of the Chinese Remainder Theorem

Undergrad 1st year linear algebra question

Graduate Understanding the Difference: Spectra of Unbounded vs. Bounded Operators

Undergrad Proving that an operator is unbounded

High School Why is it Important that something is a vector space?

Verifying Answers to "Zero Divisors & Isomorphism Theorem"

Undergrad Geometric intuition of a rank formula

Graduate Understanding Complex Operators: Rules, Boundedness, and Positivity

Undergrad Understanding the Vector Triple Product Proof

Undergrad How to Synthesize Orthogonal Transformation Matrix T?

Layout Notation for matrix calculus

Undergrad Splitting ring of polynomials - why is this result unfindable?

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Graduate Why a Lie Group is closed in GL(n,C)?

Graduate Example of how a rotation matrix preserves symmetry of PDE

Undergrad Question about inverse operators differential operators

Is My Solution to Part B of the Math Question Correct?

Verifying Solutions to Isomorphism Problem: Need Help!

Graduate Does Commutativity Affect Linearity?

Undergrad Is a commutative A-algebra algebraic over A associative?

Help with Part (a) & (b) of Question - Appreciate Assistance!

Undergrad Is there a geometric interpretation of orthogonal functions?

Undergrad What are the differences between matrices and tensors?

Graduate Proving the Last Gauss Lemma for Real Numbers Using Induction

Graduate Is the proof of these results correct?

Undergrad How to find admissible functions for a domain?

Congruence Class Proofs: Tips and Examples

Graduate Reality conditions on representations of classical groups

How many homomorphisms are there from $\mathbb{Z}_4$ to $S_4$?

[Linear Algebra] - Find the shortest distance d between two lines

Mason's question via Facebook about solving a system of equations (2)

Graduate Hilbert-adjoint operator vs self-adjoint operator

System of equations - Relative error

How Can We Find the Minimum 2-Norm of Ax-y Using an Orthogonal Matrix?

Approximation of eigenvalue with power method

How can we construct the matrix S ?

Checking if $f_1, f_2, f_3 Belong to $S_{X,3}$

Undergrad Projective Representations: a simple example

Undergrad Non-Hermitian wavefunctions and their solutions

Show that the determinant is equal to 0

Troubleshooting Euclid's Lemma Proof in Modular Arithmetic

Graduate How Does Least Squares Determine the Mean and Variance?

Undergrad Can you reduce a vector triple product? i.e. (A x (uB x C))

Undergrad Diagonalization and change of basis

Undergrad Is there a ket to correspond to every bra?

Calculation of the inverse matrix - Number of operations

Can we simplify the relations of condition number for orthogonal matrices?

The Determinant of a Matrix with n+1 Ones: Is It Always -1, 0, or 1?

Solving Linear Equations: $Ax=b$ and Rank of A

Graduate The meaning of the commutator for two operators

Graduate Eigenvalue Problem and the Calculus of Variations

Graduate Second derivative of a complex matrix

Determining Value of a in Matrix A with $\lambda$ = 0

High School Are Matrices Related to Space and Time?

Showing that a matrix is a homomorphism

Is B Equal to A³ Given Symmetric and Invertible Matrices?

The area of a triangle and determinants

Prove 2x2 Matrix Puzzle: No $S$ Exists for $S^n$

What is the basis of the trivial vector space {0}

High School How Can You Determine if an Operator is Surjective, Injective, or Bijective?

Undergrad What are the groups for NxNxN puzzle cubes called?

Graduate Are bounded operators bounded indepedently on the function?

Undergrad Need clarification on a theorem about field extensions/isomorphisms

Undergrad Do Two Eigenvectors Form a Hilbert Space with Their Inner Product?

High School Can Linear Combinations in Quantum Mechanics Include Multiplication of States?

Singular Values and Eigenvalues

Proving Matrix Equality Using Singular Value Decomposition

Graduate Is this operator bounded or unbounded?

Orthonormal Basis times a real Matrix

Undergrad "Banana clock shapes" puzzle on social media

High School How does this simplification work?

Graduate Operator mapping in Hilbert space

Undergrad Measures of Linear Independence?

How to Compute Coordinate Column Vectors in Different Bases?

Graduate How many cosets are there when taking a subgroup in a group and forming cosets?

High School Why do equations with two distinct variables with 2 distinct

Graduate Inverse linear algebra problem for stereo triangulation

High School Tensor Product, Basis Vectors and Tensor Components