Linear and Abstract Algebra Forum

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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 Does a Zero Wronskian Imply Linear Dependence for Smooth Functions?
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MHB Multiplying in Z/mZ: Solving m=3 & m=7 Questions
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Graduate Criterion for (non)decomposability of a representation?
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Graduate Interesting theorem, complex eigenvalues.
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Undergrad When is algebraic multiplicity = geometric multiplicity?
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Graduate What are some simple non-associative binary operations?
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High School Algebra - make the assumption?
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MHB Solving Ideals in Q[x,y]: Cox et al Chapter 1 Section 4
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Graduate What is the next step after LU decomposition for solving Ax=b?
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High School How to do cross product if I have got only two coordinate?
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Graduate Can G be Written as a Matrix of Matrices like H?
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Undergrad Understanding the Relative Element of a Vector: Definition and Applications
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Undergrad Estimating measurement error using error from linear regression
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MHB Question on solving system of equations with constants....
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Undergrad If two matrices have the same determinant, are they similar?
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Graduate Is a finite semigroup isomorphic to subsets of some group?
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Graduate Understanding Diagonalization and Eigenvalues in Matrix Transformations
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Undergrad What is Vector Area of an object?
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Undergrad Using linear algebra to tell when your derivation is impossible?
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Undergrad Linear Algebra 1: my first class
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MHB What is the acute angle at $P$ where lines $(AG)$ and $(HB)$ intersect?
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Undergrad Conditions for Surjective and Injective linear maps
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Undergrad Characteristic polynomial has degree n and leading coefficent (-1)^n
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MHB Show that in every set p2 with more than three vectors is linearly dependent.
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MHB Vectors in a Box: Find $\vec{AB}$ and $|AB|$
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Undergrad A few questions about proving vector spaces
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Graduate Difficulty checking group axioms
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MHB Noetherian Rings: Does R Need to Be Finitely Generated? - Peter
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MHB Find Value of p & q in Vectors
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MHB Factor: bca² + bcd² + adb² + adc²
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Undergrad Can linear algebra used to deal with non linear systems?
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MHB How Do You Express Vectors in a Rectangle Using Midpoint Coordinates?
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Graduate Stable linear transformations under composition
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Undergrad Discrete time system that is homogenous but not additive
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Graduate Does the Jordan Product Share Properties with the Cross Product?
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Graduate Geometric understanding of Semi-direct product
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Graduate Cauchy expansion of determinant of a bordered matrix
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Graduate Surjection between kernel and image of a homomorphism
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Graduate Eigenvalue of product of matrices
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MHB Degree of extension invariant upto isomorphism?
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Graduate Levenberg-Marquardt Algorithm for more than one function
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Graduate What is known about this type of group?
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MHB Prime Polynomials and Irreducible Polynomials
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MHB Simple Question on Polynomial Rings
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Undergrad Matrix Multiplication and Function Composition
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Graduate Limit of two matrices each to the kth power and multiplied
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High School Learning to Convert Numbers to Different Bases
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Undergrad How can a diagonal matrix be represented in matrix form?
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Graduate Interpolating Data with the Discrete Fourier Transform
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Graduate Boolean Rings: System of Switches.
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Undergrad Can the Algebra Theorem Prove That xy = yx in Group G?
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Graduate What Is the Non-Compact Form of the SU(2) Algebra in String Theory?
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Undergrad Matrix multiplication to addition
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Graduate Projective coordinates vs vectors
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Undergrad What is the efficient way to find the determinant of a matrix?
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MHB GCD is same in a field and its superfield.
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Graduate What is the significance of Fourier Series in representing functions?
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MHB Solve system of two variables involving 3rd order polynomials
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Graduate Relation between spectra of operator and spectrum of a fourier transfo
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Undergrad Is Vector Division Possible in Mathematics?
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MHB Prove A is invertable for all values of theta
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Graduate This bigger than grahams number?
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Undergrad Linear regression with the same X value
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Graduate Difference between tensor product and direct product?
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MHB Is Matrix A Invertible?
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Undergrad Can the Arithmetic Mean of Complex Numbers Be Calculated?
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Undergrad Principal Components and the Residual Matrix
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Graduate Skew Symmetry: Inner Product of Rows & Determinant
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Graduate Def. of groups being isomorphic - some motivation.
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Undergrad Eigen Value Approximation algorithms?
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Undergrad Find the error in a linear regression
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MHB Can the dimension of a basis be less than the space that it spans?
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MHB Can the adj(A) method be simplified for finding inverses of 4x4 matrices?
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Graduate Does This Function Satisfy the Parallelogram Property?
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Graduate Non-Square Matrix Determinants: An Investigation into det(1+AB) = det(1+BA)
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MHB Prove (I + J)/J is isomorphic to I(R/J) as R modules
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Graduate Explanation of exponential operator proof
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Graduate Need resources for solving nonlinear matrix equations
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Graduate Inverse transformation matrix entry bounds
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MHB Linear dependence of polynomical functions
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Graduate Mazur-Ulam theorem (bijective isometries are affine maps)
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MHB What Is an Encoding Matrix in Coding Theory?
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Graduate Problem A1 from the 2009 Putnam Exam
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Undergrad Can A=B be Proved Algebraically without Linear Transformations?
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Undergrad Calculating Angle Between Vectors G & F
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MHB Weight and distance of a binary code
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Graduate Solving Markov Chain Question: Closed Form Expression for f(n)ij | PDF Attached
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MHB Epimorphisms Between Groups: When is a Homomorphism Onto?
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MHB Help with Diagonal Matrix for T: R2 → R2
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Graduate Understanding Algebras: The Relationship Between Rings and Modules
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Graduate Family of sets without maximal element
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MHB Proving Vector Equality Using Cross Products
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Undergrad Looking for Matricies with their R-Echelon Forms
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Graduate What is the connection between Euler's formula and the Zeta function?
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MHB Show that G is isomorphic to G x G
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Graduate Group definition for finite groups
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MHB Matrix Exponential: Find Jordan Form & Compute eA
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MHB Can (I-A)^{-1} Be Expressed as a Series When A^4 = 0?
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Undergrad Is Matching Dimension Enough for Linear Transformation Invertibility?
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High School Algebraic Set Query: Can a Take Any Value?
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