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 Vector Components and Translation
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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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