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.
MinimalPolynomial.pdfHow Can I Find the Minimal Polynomial for a Given Matrix A?
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Finding the Span of u1 & u2 in R^3
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Constructing a Cartesian Closed Topos for Real Closed Fields
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Transpose of Matrix as Linear Map
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Proof of $(I-C)^{-1}\leq \|I\| + \|C\| + \|C\|^2 + \cdots$ Using Matrix C
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New to induction, stuck on a proof and i need some help
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Finding Eigenvectors for Coordinate transformation
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Vector Space Problem: Is {x1,x2,x3} a Vector Space?
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Linear and Abstract Algebra textbooks
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Alsings hypothesis of integers bigger than 2
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Solving 4x4 Determinant - Find a and b
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Is Sudoku Addicting and Mathematically Complex?
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Finding a Basis for M2's Symmetric Matrices
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Simultaneous trigonometric equations
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Why is gcd important in number theory?
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Does the notation used for the span part of an eigenvector matter?
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Natural isomorphism of VxV* and End(V)
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Groups of Even Order Containing Odd Number of Elements of Order 2
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Curious about a pattern to prime products.
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Equivalent conditions for hermitian matrix
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Asymptotic formula for Mertens function
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How to find all solutions of Pell equation
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Something about hermitian matrixes
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Kernel of differentiation and integration
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Prove that if n divides a - b, then n divides a and b
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A simple permutation question or not so simple
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Question about quadratic residues
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What is the Identity Property of Determinants and its Relation to Linearity?
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Nontrivial Subspace with Equal Dimensions: Linear Algebra Example
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Can a group of order 98 have a subgroup of order 7?
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Splitting Polynomials Over Finite Fields: Fact or Fiction?
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Final Physics Degree: What Are Quaternion Math Problems Used For?
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Something that's been frustrating me
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0/0 Anything divided by zero is undefined
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How Can a Physics Student Self-Learn Linear Algebra?
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Proving the Convergence of a Sequence Defined by Induction
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New to Planes, understanding them.
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How Can I Determine if a Matrix is Positive?
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Defining an Inner Product on the Vector Space of Polynomials in x
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Theorem regarding mod properties
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Some linear algebra proofs I couldn't figure out: Help
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Solving Linear Algebra Final Questions with Help
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Let V be a 5 dimensional vector space
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What progress has been made on the Riemann Hypothesis since 2004?
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Proving Solutions of Linear Transformations Using Kernel and Fixed Vectors
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Understanding Right and Left Handed Systems in Vector Calculus
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What's the probability of R in C?
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Can a subspace be written as the direct sum of two orthogonal spaces?
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Proving a number is divisible by 48
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Do Infinitely Many Prime Pairs Exist?
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Show Reducibility of x^4+1 Modulo p
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Is Zero Raised to the Power of Zero Equal to One?
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Prove: GCD of a, b and d is Equal to GCD of a and b
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Vector Space Basis and the Axiom of Choice: Are They Interchangeable?
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Eigenvalues, eigenvectors question
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Solving Quantum Computation: Diagonalizing Y & Z Operators
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Quick questions about modular arithmetic
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Linear algebra: determinants and eigenvalues
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Powers of a non-diagonalizable matrix?
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What is the Fibonacci Sequence and why is it so intriguing?
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Representation of Group OH: Ex, Ey & Ez
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Verify Linear Transformations: 3.4a, 3.4b
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Understanding Congruency and Its Applications
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Where Can I Find a Base to Base Conversion Calculator for Various Number Bases?
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What Are the Clues for Proving the Eigenvalue Equation in Physics?
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How much commutativity in associativity
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What Defines Mainvectors in the Context of Eigenvalue Multiplicities?
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Is Infinity Just an Inverse Zero?
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Solving a Problem: Seeking Feedback
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Is Subtraction of Real Numbers Associative or Not?
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Proof Hint: Show +-1 are Eigenvalues of T on nxn Matrices with Real Entries
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Polar Coordinates: A Nicer Way to Define?
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Little excercise about bases (question)
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Cross product of polar coordinates
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Question regarding linear transformation
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Prime Numbers in the Diophantine equation q=(n^2+1)/p and p is Prime
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Proving B^2=B & Finding det(B) | Linear Algebra Exercises
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The Mysteries of Number Theory: Essential Notes for Beginners
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Free Algebra Notes: Linear Algebra, Group Theory, Riemann Roch
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Finding Shortcuts to Solve Big Math Problems
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Is T an Isomorphism and How Can It Be Proven?
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Where to Find Original Manuscript of Proof of Taniyama Shimura Conjecture?
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What Do Digit Counts Mean in Prime Number Tables?
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Square Packing Solutions for 24 Integer Squares
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Vector Bases Dilemma: Finding the Real Elements
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Question in regards to Permutation matrices, basis, and non linear functions
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Is f an Eigenfunction of Operator A Given the Equality <f|A f>² = <f|A² f>?
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Explore Irrational Numbers: Find Out How Close You Can Get!
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How to Find a Maximal Subset of X in V=C[0,1]?
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How can I calculate the Killing form of a Lie algebra using a specific basis?
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Is the Adjugate of a Singular Matrix Also Singular?
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The Importance of Zero: Uncovering its Significance
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Vector Space P_4: Basis with Tchebychev Polynomials
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SL(2,C) & sl(2,C): Physics Book Reference
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A VERY interesting Fermat-like sequence: A_n=4^3^n+2^3^n+1
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Triangle Inequality: True or False?
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Can You Solve the Equation 5^n = 80n for n?
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Find Matrix of Reflection at y=-4x & Rotation 45 Degrees Axis [1,2,2]
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Help about properties of Pell numbers
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Proving V+J=k[x] using induction for k with polynomial ring in n variables
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