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.
Normal nxn Matrices: 1 Eigenvalue Case (Complex #s)
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Which Elements Belong in H? [SOLVED] Question about a Subset of Z
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Proving Conjectures About the Binet Formula for Q(\sqrt{k})
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Show How to Write A as B + iC: Hermitian Operators
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Is the Trace of a Nilpotent Matrix Always Zero?
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Prove by induction that 2^1/2 is irrational.
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Difference between the outer product
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Finding an affine transformation matrix
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Show a polynomial of degree n has at most n distint roots
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Can Fibonacci Sequences Be Proven Using This Conjecture?
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Parabola Question: Verifying Solution with Multiple Methods
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Solve Problem w/ Two Phase Method: Max Z
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Geometric algebra: longitude and latitude rotor ordering?
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Linearly Independent Columns of a Matrix
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Question about Gelfand-Naimark
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Primitive roots - annoying problem
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Why Is Ran(A - λI) an Invariant Subspace of A?
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What does this equation mean to you?
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Can a Change of Basis Simplify Linear Problems?
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Standard Matrices for Polynomial Derivatives and Integrals up to Degree 4?
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Angle between two lines in space
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Some Galois Theory: Degree of elements in Q
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Efficient Computation of Congruence Solutions and Generating Functions
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Solving Transition Matrix: Find Coefficients of B to B
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Bases of Generalized Eigenvectors
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Simple problem using eigenvalue/eigenvector
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Is Floor(x)/y Always Equal to Floor(x/y) When y Is an Integer?
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Does GCD Condition Prove Multiplicative Order?
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Is There a Number N That is Neither Rational nor Irrational?
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Uncovering Abundant Numbers: My University Research
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Isomorphism Question: Struggling with Engineering Maths - Need Help!
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What Functions in Lp Spaces Satisfy the Transformative Integral Equation?
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What is the simplicity of the Special Linear Lie Algebra?
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What is the relationship between ker(A) and ker(A^TA)?
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Reconstructing Kite Position and Rotation from a Single Camera Image
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What is the significance of the sopfr function in these cycles?
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Positive Definite Matrices eigenvalues
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Can QR Method Accurately Approximate Eigenvalues? [SOLVED]
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Solving Nilpotent Matrices: Use McLaurin Series to Show Invertibility
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What is the proof for the similarity of two matrices having the same rank?
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What are the properties of ideals in a commutative ring with identity 1?
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Prove that if and [j] are equivalence classes modulo
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Showing null space and range are invariant
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RIemann-Weyl formula and application
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Can u understand my business coursework?
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Algebraic expressions - simplifying
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Where did the six come from in the Chinese Remainder Theorem?
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Factoring a wedge product into vectors? (geometric algebra)
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Understanding Adjacency Matrices for Digraphs?
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Is the Prime Spiral an Intriguing Study or Just a Quirk?
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Connection between A(N-1) and SU(N)
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What's the Order of GL_2(F_5)?
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Definition of Irreducible Group & Its Relation to GL(n,F)
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Divisibility Problem: Fast Algorithm for Large Integers A and B
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Find T([3,1]) for Linear Transformation R2 to R3
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What is the cyclic subgroup order of GL(2,p^n) generated by the given matrix?
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To what number b/w 0 and 4 inclusive
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What is Probabilistic number theory , could we rely on it ?
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What Are the Idempotents of the Ring Z/100Z?
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Unify principles of two formulae
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Find Basis for Ker (T) with S = {1, 0, 1, 0}
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Is MIT's Linear Algebra Video Lecture a Must-Watch for Beginners?
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What is the signed angle between two 2-dimensional vectors?
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Uncovering the Connection Between Rings and Involutions: A Homomorphism Puzzle
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But we assumed p and q are mutually prime, a contradiction.
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Choose subset of n+1 from 2n set
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Entries in every row add to zero (nullspace/determinant question)
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Inverse of Matrix Sum Formula: Solving for Upper Triangular Matrices
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Linear Dependence: Complex Equations & Conjugates
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[((n-1)/2)]^2 = -(-1)^[(n-1)/2] (mod n)
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Need help finding equation of a plane
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Closedness question about adjoint image
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Vector/Matrix Differentiation: Where to Put the Transpose?
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Is R a Finite-Dimensional Vector Space Over Q?
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Really dumb question: why do we use e_i for unit vectors?
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Can (n-1) be Divisible by n for Any Natural Number n ≥ 5 and Not Prime?
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Proving GL(n) Center Diagonal Matrices
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How Does Matrix Symmetry Affect Row and Column Ranks?
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Solve Extraneous Roots: Why Do They Arise?
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Exponential bound for Euler's zeta function?
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Moore penrose inverse expressed as geometric product?
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Geometrical algebra's: simple equation
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Reducing Number of Multiplications in a Loop
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GCD(a+h,b+k) - Formula Given GCD(a,b) & GCD(h,k)?
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Lebesgue measure and scale freedom
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Germain Primes and the Homogenous Integer Function Q(x,y)
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Why Might My Palindrome Calculation Be Incorrect?
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Sum of two prime ideals is prime ?
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How Can I Perform Quadratic Regression on an HP 50g Calculator?
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Understanding Quotient Vector Space: Collapsing to Zero
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Can a 4x4 matrix with two vanishing eigenvalues have a square root?
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Solving Whole Integer Solutions for Easy Math Quesiton 3 (x^2)=a^2
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How to solve second-order matrix diffrential equation?
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What is the English translation for Einsatzunghomöomorphismus in German?
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Linear Algebra: Solving Systems of Equations with Wedge Product?
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Is the Intersection of Even and Odd Function Subspaces Only the Zero Function?
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Proving the Sum of a Series using Fourier Series Technique
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Can You Count the Zeros Between Two Numbers?
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How to Show that PL is a Matrix in Vector Projection?
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Prove Commutation Property for 2x2 Matrices D
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