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.
Can Commutation between Subgroups be Achieved without Assuming Normality?
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Solving the Clever Compound Cartoon Puzzle
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MHB Solving System of Equations: Find # Solutions for Different Values of k
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Any useful analog to finite differences for matrix products?
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What Are Hamel & Schauder Bases and How Do They Relate to Vector Spaces?
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Kronecker product of infinite dimensional matrices
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Homomorphism as a Structure-preserving Map.
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Converting Rotation matrix to operate on fractional coordinates
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What is the Rank of the Adjugate Matrix?
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Can a Non-Linear Map be the Inverse of a Linear Map?
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What Is an Efficient Way to Identify Composite Numbers?
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For which primes P is the following true?
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Checking if a Graph is Planar - v, e & f
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Possible Triplets for (1+1/a)(1+1/b)(1+1/c)=3
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MHB Is $f$ a function or a functional?
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Question on Fermat's Last Theorem
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Understanding Group Structures: A Scientist's Perspective
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Can someone explain zeros and zeta function for Riemann Hypothesis? (Yr13)
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Isomorphism of P4 and R5 in a given inner product space
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How does the author determine the elements of order p or 4 in the group?
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Understanding the Permitted Use of Double Summation in Math
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What is the difference between zero scalar and zero vector?
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Quick question about Hermitian operators
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Abelian groups and exponent of a group
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Proving/Disproving: Coprimes & (an + bn + cn ) / abc
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How do I solve a transcendental equation?
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Question on definition of Lie groups
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Question about wiki artical on Quotient Groups
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MHB Matrix Rank: Real-Life Applications & Motivation
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How Does a Minimal Polynomial Differ from a Characteristic Polynomial?
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Solving for Data: Formula with OUTPUT Provided
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Can anyone me to generalize and prove this if it is valid?
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Where did this equation come from?
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Number theory divisibility question
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Linear Functionals & Inner Products: Is This Theorem True?
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Why Use A and B in Partial Fraction Decomposition?
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More than one identity element for absolute value?
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What is eigen value, eigen vector etc and what is their physical significance?
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Why Does Cramer's Rule Give Different Determinants for the Same Matrix?
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Interpretation of the determinant of an operator in complex vector space
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Matrix Derivation: 2x1 A and B with Dimension and dA/dB Calculation
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What are some real-life applications of general vector spaces?
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Direction of Goldbach Partitions
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What is the determinant of a matrix?
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Understanding Vector Spaces in Real Analysis
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MHB Covariant and Contravariant Vector
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Finding all combination of portions of a number.
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Quick question about Linear Transformations from a space to itself
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Which Mathematician's Theorem Linked Prime Numbers to Cryptography?
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MHB "structure" on the cosets → normal?
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How to find 'self locating digits' in irrational numbers
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Must the Fourier transform exist for Dirac delta functions?
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MHB Show that the abelian groups are isomorphic
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Math Education: Encouraging Mediocrity and the Negative Effects of Algebra
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What are the applications of permutations of a finite set?
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MHB Linear algebra. Rank. linear independence.
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Conjecture Regarding rotation of a set by a sequence of rational angles.
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What is a Module? Polynomials & Vector Spaces
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Linear transformation and matrix transformation
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Looking for Properties of Low Discrepancy Sequences.
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4th and higher dimension perpendicular
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Finding Inverse from Known Linear System
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Linearly independent eigen vectors
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Is Q-P Symmetric Positive-Definite?
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MHB Introducing General Vector Spaces: Engaging Examples and Real-Life Applications
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MHB Solve *-Algebra Problem: $\sigma(\lambda{e}-x)=\lambda-\sigma(x)$
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Is this a complete test to show that a matrix is orthogonal?
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Negative determinants when calculating eigenvectors?
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Decomposition of a Rotation Matrix
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MHB How Do You Identify Scalar Homomorphisms in a Matrix Algebra?
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Finding a formula for a sequence with recurring digits
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What is the suitable representation of a linear operator of matrices?
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Question on reducing 3 equations with 3 unknowns
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Equidistribution of points on a sphere
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Finding A in Non-Square Matrices: Pseudo Inverse vs Gradient Search
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Is There a Recognizable Pattern in the Distribution of Prime Numbers?
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Why is T(1)=2 in the matrix of a linear mapping?
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Linear algebra question, quadratic forms.
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Is Real Numbers an Ordered Field Under <?
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Distance between two linear subspaces
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Is this a short, marvelous proof of Fermat's Last Theorem?
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MHB What is an Abelian group and why is it useful in mathematics?
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Linear Operator T on Vector Space V: Unique Matrix A in Ordered Bases B
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Finding Anti-commuting Complex structures
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MHB Notation for Element-Wise Matrix Operations
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Minkowski Metric and the Sign of the Fourth Dimension
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Cross product and matrix multiplication
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Product Groups and their dimensions
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Simple linear algebra problem (points on circle for a given vector and angle)
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Trying to derive a transformation Matrix from a set of known points
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Solving Integer Cubes & Squares: 7k & 3k?
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Work on unit vector notation for matrices?
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Prove (n(n+1)(2n+1))/6 is Integer - Div Alg
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Riemann sphere in infinite dimensional space?
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MHB Rank of the product of two matrices
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Another reminder on finding eigenvectors
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Repeated Eigen Values and their Eigen Vectors
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What Basis Spans Square Integrable Functions with Exponential Tails on [0,∞)?
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Developing Inner Product in Polar Coordinates via metric
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Representation theory question
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