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 Does Deutsch's Algorithm Reveal Insights Into Prime Numbers?
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Undergrad Orthonormal, Orthogonal, Perpendicular
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Graduate Is Ker(f)={e} Enough to Prove Injectivity for a Group Homomorphism?
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Graduate Can Linear Independence of Vector Pairs Imply Independence of Their Union?
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Undergrad Sin(2x) and sin(3x) are orthogonal to each other
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Graduate What is the basis for the subspace W spanned by {sin^2(x), cos^2(x), cos2x}?
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Graduate How Can I Decompose a 3x3 Rotation Matrix into a Product of 3 Rotations?
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High School Matrices in more than 2 dimensions
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Undergrad MinimalPolynomial.pdfHow Can I Find the Minimal Polynomial for a Given Matrix A?
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Undergrad Finding the Span of u1 & u2 in R^3
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Graduate Constructing a Cartesian Closed Topos for Real Closed Fields
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Graduate Transpose of Matrix as Linear Map
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Graduate Proof of $(I-C)^{-1}\leq \|I\| + \|C\| + \|C\|^2 + \cdots$ Using Matrix C
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Undergrad New to induction, stuck on a proof and i need some help
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Graduate Finding Eigenvectors for Coordinate transformation
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Undergrad Vector Space Problem: Is {x1,x2,x3} a Vector Space?
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Graduate Complex roots problem (a proof by induction)
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Undergrad Linear and Abstract Algebra textbooks
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Graduate Alsings hypothesis of integers bigger than 2
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Undergrad Solving 4x4 Determinant - Find a and b
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Undergrad Is Sudoku Addicting and Mathematically Complex?
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Undergrad Finding a Basis for M2's Symmetric Matrices
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Undergrad Simultaneous trigonometric equations
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High School Why is gcd important in number theory?
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Undergrad Does the notation used for the span part of an eigenvector matter?
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Graduate Natural isomorphism of VxV* and End(V)
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Graduate Groups of Even Order Containing Odd Number of Elements of Order 2
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Graduate Curious about a pattern to prime products.
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Graduate Equivalent conditions for hermitian matrix
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Graduate Asymptotic formula for Mertens function
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Undergrad How to find all solutions of Pell equation
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Graduate Something about hermitian matrixes
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Undergrad Kernel of differentiation and integration
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Undergrad Prove that if n divides a - b, then n divides a and b
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Undergrad A simple permutation question or not so simple
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Graduate Question about quadratic residues
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Graduate What is the Identity Property of Determinants and its Relation to Linearity?
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Undergrad How Is the Vector Solution 1/2(p-q) Derived?
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Undergrad Nontrivial Subspace with Equal Dimensions: Linear Algebra Example
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Graduate Can a group of order 98 have a subgroup of order 7?
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Graduate Splitting Polynomials Over Finite Fields: Fact or Fiction?
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Graduate Final Physics Degree: What Are Quaternion Math Problems Used For?
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Graduate Something that's been frustrating me
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High School 0/0 Anything divided by zero is undefined
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Undergrad Complex conjugate of a 5 x 5 matrices?
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Undergrad How Can a Physics Student Self-Learn Linear Algebra?
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Graduate Proving the Convergence of a Sequence Defined by Induction
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High School New to Planes, understanding them.
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Undergrad How Can I Determine if a Matrix is Positive?
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Graduate Defining an Inner Product on the Vector Space of Polynomials in x
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Undergrad Theorem regarding mod properties
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Graduate Some linear algebra proofs I couldn't figure out: Help
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Graduate Proving Orthogonality of Non-Zero Vectors
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Undergrad Solving Linear Algebra Final Questions with Help
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Graduate Let V be a 5 dimensional vector space
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Graduate What progress has been made on the Riemann Hypothesis since 2004?
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Undergrad Markov chains and steady state vectors
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Graduate Proving Solutions of Linear Transformations Using Kernel and Fixed Vectors
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Undergrad Understanding Right and Left Handed Systems in Vector Calculus
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Graduate What's the probability of R in C?
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Graduate Can a subspace be written as the direct sum of two orthogonal spaces?
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Undergrad Proving a number is divisible by 48
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Undergrad Do Infinitely Many Prime Pairs Exist?
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Graduate Show Reducibility of x^4+1 Modulo p
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High School Is Zero Raised to the Power of Zero Equal to One?
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Undergrad Prove: GCD of a, b and d is Equal to GCD of a and b
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Graduate Vector Space Basis and the Axiom of Choice: Are They Interchangeable?
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Graduate Eigenvalues, eigenvectors question
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Graduate Solving Quantum Computation: Diagonalizing Y & Z Operators
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Undergrad Quick questions about modular arithmetic
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Undergrad Linear algebra: determinants and eigenvalues
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Graduate Powers of a non-diagonalizable matrix?
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High School What is the Fibonacci Sequence and why is it so intriguing?
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Graduate Representation of Group OH: Ex, Ey & Ez
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Undergrad Verify Linear Transformations: 3.4a, 3.4b
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High School Understanding Congruency and Its Applications
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High School Where Can I Find a Base to Base Conversion Calculator for Various Number Bases?
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Graduate What Are the Clues for Proving the Eigenvalue Equation in Physics?
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Undergrad How much commutativity in associativity
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Graduate What Defines Mainvectors in the Context of Eigenvalue Multiplicities?
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Undergrad Is Infinity Just an Inverse Zero?
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Solving a Problem: Seeking Feedback
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High School Is Subtraction of Real Numbers Associative or Not?
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Graduate Proof Hint: Show +-1 are Eigenvalues of T on nxn Matrices with Real Entries
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Graduate Polar Coordinates: A Nicer Way to Define?
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Undergrad Little excercise about bases (question)
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Undergrad Cross product of polar coordinates
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Undergrad Question regarding linear transformation
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Graduate Prime Numbers in the Diophantine equation q=(n^2+1)/p and p is Prime
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Undergrad Proving B^2=B & Finding det(B) | Linear Algebra Exercises
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Undergrad The Mysteries of Number Theory: Essential Notes for Beginners
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Graduate Free Algebra Notes: Linear Algebra, Group Theory, Riemann Roch
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High School Finding Shortcuts to Solve Big Math Problems
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Graduate Is T an Isomorphism and How Can It Be Proven?
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Graduate Where to Find Original Manuscript of Proof of Taniyama Shimura Conjecture?
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High School What Do Digit Counts Mean in Prime Number Tables?
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Graduate Square Packing Solutions for 24 Integer Squares
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Graduate Vector Bases Dilemma: Finding the Real Elements
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Graduate Question in regards to Permutation matrices, basis, and non linear functions
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Graduate Is f an Eigenfunction of Operator A Given the Equality <f|A f>² = <f|A² f>?
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