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 Finding operators (and, possibly, exponents) in a system
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Undergrad Do these sets span the same space?
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Graduate Possible Expressions for Matrix Rotation Reduction
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Graduate Proving Basic Exponent Properties for a Group
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MHB Jae 's question at Yahoo Answers (Intersection of subspaces)
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Graduate Construct resultant for 3 polynomials
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Graduate What Is a Multilinear Function in Multilinear Algebra?
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MHB The Orthogonality of Vectors and Matrices
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Graduate Understanding Ladder Operators in SU(N) Quantum Mechanics
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MHB Find Parameter Producing Line l Through Points P and Q
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MHB Orthogonal Rotation: Get Info & Tips
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Graduate Dot product in non-orthogonal basis system
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Undergrad Eigen values and Eigenvectors for a special case of a symmetric matrix
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MHB Calculating Orthogonal Projection: Proving AD and Formula Progress | \pi\rangle
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Graduate Field extension that is not normal
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Graduate Commutator subgroup a subgroup of any Abelian quotient group?
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MHB Confirming Understanding of an Orthonormal System
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MHB Calculating Length and Angle of Vectors in an Orthogonal System
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MHB Linear Independence of Vectors: Why Determinant ≠ 0?
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Undergrad What is the Dot Product of Two 2x2 Matrices?
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Undergrad 3x3 Identity and rotation matrices and how they work
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Graduate Normalizers and normal subgroups.
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Graduate Is X^M-N the Minimal Polynomial of Irrational Root \sqrt[M]{N} in \mathbb{Q}[X]?
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MHB Solving a Matrice Equation: AX=B
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MHB How Do Basis and Vectors Work in Linear Algebra?
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MHB JustCurious's question at Yahoo Answers (Diagonalization)
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MHB Proof of Gauss' Lemma - Issue re Proof
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MHB What Are the Rules for Determining the Determinant of a 4x4 Matrix?
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MHB Amy's question at Yahoo Answers (Self adjoint operator)
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Undergrad Find the symmetric matrix from eigen vectors
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Graduate Need help understanding Remez Algorithm and Chebyshev Polynomials
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Undergrad What Are the Key Applications of Group Theory in Mathematics?
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Undergrad Computing determinants: Allowed shortcuts?
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Graduate User-defined orthonormal basis
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MHB Amy's question at Yahoo Answers (Orthogonal complex subspace)
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Undergrad What Does R^m -> R^n Mean in Notation?
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Graduate How to solve the larger order eigenproblem
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MHB Image, Range, and Matrix of a Linear Transformation
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MHB Why Are These Matrices Not Invertible?
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MHB How Do You Convert a Cartesian Equation to a Vector Equation in R3?
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MHB Conditions on Matrix Imply Conditions on Elements
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MHB MHBCalculate A^17: Powers of Matrices
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Graduate Orthogonal polynomials are perpendicular?
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Graduate Distinct zeros of irreducible polynomial
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Graduate Zero as an element of an eigenvector
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MHB Are GCDs Always Defined in Integral Domains?
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MHB Ryan's question at Yahoo Answers (Eigenvalues of A^*A)
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MHB Why does sqrt(-2) divide x in Z[sqrt(-2)] if it divides x+sqrt(-2)?
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Graduate Maximizing quantity which is a product of matrices/vectors
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MHB Form of symmetric matrix of rank one
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Undergrad Is the Dot Product Definition Valid Only for Orthogonal Coordinates?
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Undergrad Transition Matrix and Ordered Bases
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MHB Dv's question at Yahoo Answers (Hermitian matrix)
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MHB Can Subgroups Form a Group by Union Without Containing Each Other?
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MHB Polynomial Rings - Gauss's Lemma
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MHB This suggests that both H and K are normal subgroups of L. What am I missing?
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MHB Understanding Vector Mechanics with a Particle in 2D
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Undergrad Matrix manipulation/arithmetic in equations for proofs
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High School How do we prove the distributive property of multiplication?
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MHB Jacqueline's question at Yahoo Answers (Eigenvalues of a composition)
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Undergrad Matrix multiplication: index / suffix notation issues
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MHB Is the limit vector $x$ in the subspace $F$?
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Undergrad Fair to say there are twice as many square matrices as rectangular?
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Undergrad What exactly is a vector in and 5-D and more dimensions?
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MHB Is There a Strategy for Finding Primitive Roots of 2p^n If There is One for p^n?
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Graduate Dimensions of Matrices Range (equalities).
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MHB Proving that a ring is non a PID
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Undergrad A good linear algebra text book?
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MHB Help Proving Isomorphism of a group
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MHB Rings of Fractions and Fields of Fractions
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Graduate Solutions to cross product, a x u = b
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Undergrad The Length of a Matrix- Double Sum
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Graduate Orthogonality Problem (From Fourier Analysis Text)
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MHB Prove a ring: showing an element has an additive inverse
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MHB Cameron V 's question at Yahoo Answers (Equality of linear maps)
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MHB Proving statements regarding invertible matrices
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MHB What is the problem in this Proof
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Graduate Easy test if unitary group is cyclic
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Graduate What are the conjugacy classes of subgroups of Z X Z?
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MHB What are the ideals of the ring Z[x]/<2, x^3 + 1>?
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Undergrad Where can I find helpful resources for abstract algebra?
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MHB Choirgirl1987 's question at Yahoo Answers (Jordan block)
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Graduate How Do You Solve Modified Eigenvalue Problems Like Lq=\lambda q + a?
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MHB Greatest common divisor of two polynomials
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MHB Polynomial Rings - Z[x]/(x^2) and Z[x^2 + 1>
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Graduate Why Are Symmetric & Non-Symmetric Matrices Not Unitarily Equivalent?
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Graduate Generalization of Chinese Remainder Theorem
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MHB Finite abelian group textbook help
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MHB Dance's question at Yahoo Answers (T(A)=A-A^T)
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Undergrad Do all complex functions have orthogonal real and imaginary parts?
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MHB Closure of a Subgroup of GL(2,C)
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Undergrad Why is Linear Algebra easier to understand than Calculus?
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MHB Lisa's question at Yahoo Answers (Matrix of a linear map)
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Graduate Eigenvalues of nonlinearly coupled equations
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Undergrad Solving Eigenvalues: Complex Numbers Solutions
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Graduate Why this paradox in calculating eigen values for T*T ?
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Undergrad Why Do Rank 1 Matrices Have Eigenvalues 0 and Trace?
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Undergrad Split a Matrix into and arbitrary number of blocks
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MHB What Does Reducing Z[x] Modulo the Prime Ideal (p) in Polynomial Rings Mean?
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Graduate Presentation of a group to generators in A(S)
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