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 a Matrix be Recovered from Eigenvalues Alone?
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Is Det(A+B) Equal to Det(A) + Det(B)?
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Interesting way to define a sequence of Squares
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Free Group with defining equations
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Elementary Linear Algebra with Applications 9th or 10th edition?
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Why does the Kronecker delta interchange with itself when j equals l?
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How Many Permutations for Pressing 4 Out of 8 Switches?
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Operating Time for Matrix Eigenvalue and Eigenvectors
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Square of Odd Integers & Justifying "If P2 Is Even, Then P Is Even
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I need a pretty basic explanation of cosets
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Circle & Infinity: Why Is a Line?
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How Does Permuting Eigenvectors Affect Matrix Representations?
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Show that (A:B) = (A^f:B^f)(A_f:B_f) in Abelian Groups
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Different rotation matrix, with cosine?
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Direct Eigenvalue solver, which retains the the order of eigenvectors
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Nessary and sufficient condition for homomorphism to be isomorphism.
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Mathematica problem, nontrivial solution for matrix equation Ax=0
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Help in understanding groups (undergraduate level).
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What Are Functional Powers and How Can We Explore f^n(x)?
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Can Any 2-Plane Be Mapped to Another Using Linear Maps and Translation?
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What causes delta functions to appear in the derivative of the Pi function?
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Is There Only One Integer n That Makes the Sum of Squares a Perfect Square?
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Baby Step Giant Step: Computing m of Rational Points on Elliptic Curve
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Coefficients of characteristic polynomial
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Diagonalization of square matrix if not all eigenvalues are distinct of
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How do i construct a design matrix for a least square problem?
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Does the Order of Differentiation Matter?
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Is there a matrix A such that AxB=B?
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Understanding the Distributive Law in a Field
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Vector Spaces: Cartesian vs Tensor products
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Does doubling the sum of prime factors always lead to 16?
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Number of Primes Between n and 2n
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Is there any way to find the product of prime numbers?
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Solving Matrix Equations with Real Scalars
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Eigenvalues <1 imply 0 as a limit
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How to Prove GCD of Two Powers of 2 Minus 1?
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Determinants of higher dimension matrices
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Proof of a^{\frac{p-1}{2}}=-1 mod p
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Z[x]/(1-x)/(x^{p-1}+ +x+1) = Z/pZ ?
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Matrix methods for equation of a line
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Hello,I have a question. If A and B are NND matrices, how to prove
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Can magnitude of complex numbers raised to some power
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Orthogonality in h^n for a field h
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Why can't Dn be isomorphic to the direct product of its subgroups?
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How Can Vector Fields Span a Tangent Space When k > m?
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Proving Finite Groups with No Non-Trivial Subgroups and Prime Order o(G)
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Singular Value Decomposition trouble
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Proof of the The Division Algorithm
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Proving T is a Subspace of M23: Linear Algebra Problem
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What Is the Well-Ordering Principle in Modern Algebra?
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Classifying Symmetric Quadratic Forms
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What is the essence of determinant?
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Efficient Solution for (A+pI)x=b: Fast Matrix Inversion
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Finding Elements of Order 6 in Aut(Z720)
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How to Minimize the infinity norm of a matrix function
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Solve Conjugate Complex Equations: Rules & Examples
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Physical Intrepretation of cofactors
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How can you simplify the quadratic formula using completing the square?
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A logical (and simple) explanation for (-1*1=-1)?
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How to define the new vector in my case?
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Understanding the Confusion: Tensor Product vs. Dyadic Product for Vectors
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Properties of the super-golden ratio?
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What Is the Physical Significance of the Norm of a Function in a Vector Space?
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Eigenvalues and eigenvectors of a matrix
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Integral of the reflection operator in arbitrary symmetric spaces.
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Why Are 10-adics Not a Field?
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Physics of Roulette: Spin, Friction, Wind, Momentum, Bounce
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What Does the Homomorphism from Z[x] to Z[i] Reveal About Its Ideals?
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What is positive and negative eigenspaces? Can you recommend me a
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Prove a=0 for Ring Theory Question with m,n Positive Ints
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Collatz Conjecture - Bouncing Ideas
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What is the solvability condition for the matrix equation A_1x_2 = A_2x_1?
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Powers of a superdiagonal matrix
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Understanding the Linearity Test for Inner Products
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Where are the irrational numbers?
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Goldbach's Conjecture (Theorem?)
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Is the column space of a matrix always a full span in practice?
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Director product expansion of Lie groups.
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Is Group Decomposition Unique in Semidirect Products?
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Matrix Dot Product: Solving Linear Algebra
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How Does the Cyclic Decomposition Theorem Simplify Matrix Analysis?
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Question about projections and subspaces
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Classic problems about parity property
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Determinant Identity for A-B and B A Matrices
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Can a Singular Matrix Always Find a Partner Matrix to Result in Zero?
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Groups of order 21 (Need help understanding an inference)
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What puts the analysis in analytic number theory?
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A question about fourier analysis
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At what point do the sums of the reciprocals converge?
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Debating the Validity of the Inscribed Hexagon Theorem
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What Is the Multilinear Eigenvalue Problem Called?
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Group Homomorphism: Definition & Examples
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Finding Solutions for x12+x22=1 on Finite Fields Zp using Prime Number Algorithm
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Reconsidering Pi: Examining the Controversy Surrounding its Accuracy
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How do primes come out of Peano arithmetic?
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Tensor transformations for change of coordinate system
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Is There a Limit to the Number of Elements in a Coproduct/Direct Sum?
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Why the roots of Eq. x^2 + a*x + b = 0 and of Eq. x + a*Sqrt[x] + b =
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Group Isomorphism: Proving f: Us(st)->U(t) is Onto
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Solve Tricky Sequence: 1,2,3,4,5,8,7,16,9
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