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.
Undergrad Largest Prime Number Found: 17,425,170 Digits Long
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Graduate Proving ABC^TA^-1 = CB: Step-by-Step Guide
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Graduate Solve SU(2) Parametrization Problem w/ Westra's PDF
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Graduate Factoring Method: Learn How to Use It
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Undergrad Why is the cross product perpendicular?
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MHB Solve Equation 5x - ||v|| v = ||w||(w-5x)
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MHB Best method for LU decomposition
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Graduate What Are the Strangest Vector Spaces You Can Imagine?
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Graduate Block matrix transformation of specific form
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Undergrad Is taking the square value of a dot product a valid mathematical operation?
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MHB Matteo's question at Yahoo Answers (change of basis)
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Undergrad Determine if vector b is a linear combination of vectors a1, a2, a3.
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Undergrad How can I understand the equation for bicubic interpolation?
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Undergrad What is a Convex Hull and How Does it Relate to Positive Definite Objects?
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Undergrad Is A=5 and A=x Linear Operators?
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Graduate Orthonormal basis functions for L^2(R)
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MHB Quadratic Forms: Beyond Sketching Conics
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Undergrad Can You Help Prove These Mathematical Identities?
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MHB Veronica's question at Yahoo Answers (determinants)
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MHB DSphery's question at Yahoo Answers (matrix powering question)
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MHB Jonathan's question at Yahoo Answers ( span ( H ) )
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Undergrad List the things f has to do to be a homomorphism
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Undergrad Why are these functions commutatives?
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MHB Tyler's question at Yahoo Answers (linear independence)
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Undergrad Not Satisfied with Linear Algebra Theorem
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Undergrad Mapping an isomorphism b/w 2 grps
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Graduate Log expansion for infinite solenoid
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Undergrad Why is a matrix singular if the determinant is zero?
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Graduate Finding which direct sum of cyclic groups Z*n is isomorphic to
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MHB IADPCFEVER's question at Yahoo Answers (projection and linear transformation)
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MHB Surjective and injective linear map
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MHB Which one of these two statements is wrong ?
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MHB Raghav's question at Yahoo Answers (axioms of vector space)
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Graduate Efficient way to find which element of Z*n has largest order?
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Graduate What Are Graded Groups and How Do Generators and Degrees Function Within Them?
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MHB Linear Independence: Solving u,v,w Vector Questions
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Undergrad Are 'lists' and vectors the same thing?
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Undergrad Is every matrix diagonalizable if we allow complex entries?
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MHB Yont's question at Yahoo Answers (eigenvector)
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Undergrad Challenging System of Equations (4 Variables)
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MHB Prime Ideals and Maximal Ideals
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MHB Proof about inner automorphism of a group
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Graduate Pisano Periods - Fibonacci Numbers mod p
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Graduate Can this number theory problem be solved purely algebraically?
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Undergrad What is the definition of a 'true vector'?
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Convert Files: Change Formats Easily
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MHB Linear Map Problem: Proving Equivalence of a & b
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High School Explaining Missing Decimal Numbers 3, 6 & 9 in Calculations
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Graduate The rank of a block matrix as a function of the rank of its submatrice
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MHB C.'s question at Yahoo Answers (orthogonality).
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Graduate Is the Mean of a Sum of Randomly Chosen Numbers Always 1?
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Undergrad Geometrical Interpretation of V in Span S
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Undergrad Existence of a function for the n-th prime
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Graduate Does Z*(n) always have a generator?
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MHB The union of an ascending chain of subgroups is a subgroup
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Graduate Square root of a squared block matrix
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Undergrad What kind of form is this general solution of a system?
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High School Solving for x in y = Tan(x): A Last Resort
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MHB Equation of Plane after Coordinate Transformation
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MHB Emeril's question at Yahoo Answers (invariant subspace).
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Graduate Can Vector Units Be Simplified or Must Each Element Carry Units?
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Graduate Proof of square root 3 irrational using well ordering
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Graduate Is the Term Vector Space Misleading Without Magnitude and Direction?
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Undergrad Regarding transpose of matrix products
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Graduate How is rotation mathematically defined beyond the rotation matrix?
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Graduate What Is an Affine Space? Explained in Detail
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MHB Cammie's question from Facebook (finding a mixture through systems of equations)
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Graduate Finding roots to a recursively defined polynomial of degree n
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MHB Cutiee pie's question at Yahoo Answers (dimension of eigenspaces).
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Graduate Mahalanobis Distance using Eigen-Values of the Covariance Matrix
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Undergrad How Do Generators {2, 3} Form Z6?
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MHB Tensor multiplication 3 dimesnsions
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Graduate How Can We Achieve the Tensor Product of Two Vector Spaces?
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Graduate Finding an Idea for Exercise: Let's Explore Vector Spaces!
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Undergrad What does the Eigenvalue of a linear system actually tell you?
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MHB Indicial notation - Levi-Cevita and Tensor
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MHB K-Algebra - Meaning and background of the concept
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Graduate Narcissistic/Plus Perfect/Armstrong
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Undergrad Finding an eigenvector of 3x3 matrix
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Graduate K-Algebra - Meaning and background of the concept
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Undergrad Is Multiplication Defined in This Field Sufficient for ℂ to be a Field?
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Undergrad Rotation,angle of vector from axes ?
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MHB How to Expand and Simplify the Expression of Kronecker Delta?
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Graduate Algebraic structure of Dirac delta functions
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Undergrad For the transposition (i j)(k), this is what I have in my
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Graduate Semidirect Product Page 5 - Honors Brown
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MHB Sarah Morash's question at Yahoo Answers about eigenvalues
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Graduate Group Actions: Prime Divisors & Smallest Prime | Dummit & Foote
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MHB Communitative ring, map R / ( I /\ J) -> R/I x R/J
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Graduate Question on Lie group regular actions
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MHB Indicial Notation: $\mathbf{v}\cdot\mathbf{v} = a^2b^2\sin^2\theta$
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Graduate Solve Mysterious Number Sequence Puzzle
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Graduate Show Injectivity of Mapping y=Ax for Finite Alphabet w/o Search Algorithm
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Graduate When is the kernel of a linear operator closed?
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Graduate What Is an Example of a Matrix Norm?
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Undergrad How can I use different angles in linear algebra rotations?
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MHB Is Statement 3 Correct Concerning Non-Invertible Matrices in Linear Systems?
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MHB How Do You Prove That sa + tb Divides gcd(a, b) in Bezout's Lemma?
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Undergrad L2 norm for complex valued vector
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Undergrad Is Linear Independence Correctly Applied in These Examples?
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