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 About the basis of a quotient space
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Graduate Eigenvectors and Manipulations on the Matrix
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Graduate Can Any 4th Degree Polynomial Be Expressed as a Quadratic of a Quadratic?
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Undergrad Playing around with imag. numbers.
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Graduate Can Representation Theory Be Applied to Homomorphisms and Finite Abelian Groups?
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Graduate Proving R is Infinite-Dimensional & Solving 3 Variable System
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Undergrad Basis is finite set of vectors that are linearly independant
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Graduate Are there any such symbolic representations of Pi or ex?
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High School Finding Values of k for 6k2+4k in the Form 6ab+5a+b?
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Graduate Determining Irreducibility of f(x) and Third Degree Polynomials in Q[x]
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Graduate Proving Abelian Property of Galois Group in Q(z) over Q
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Graduate Proving Finite Field Roots for Z_p
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Undergrad Basic question, vectors into matrices
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Undergrad Is Linear Algebra More Important Than Calculus in Physics?
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Graduate What is the difference between the two definitions of Schur decomposition?
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Graduate Proof about an odd degree polynomial
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Graduate Is the Union of W and Its Orthogonal Complement Equal to V?
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Graduate Little bit confuse on vector space
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Undergrad Matrix Eigenvectors: How Many Are Linearly Independent?
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Undergrad How to show two rings are not isomorphic
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Graduate I was wondering what Q/Z, or the rational numbers modulo the integers.
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Undergrad Newbie Asks: ONTO Surjection Help
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Graduate Universal Algebra: Why Isn't It More Widely Studied?
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Undergrad Is this MathWorld page wrong? (it's about hyperplanes)
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Graduate Isomorphisms between cyclic groups? (stupid question)
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Undergrad Two sets are isomorphic to each other
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Graduate Co/contra/in-variance of tensors in abstract algebra
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Graduate Non-Zero Orthogonal Vectors: Show m<=n
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Graduate Analytical solutions of cubic equations
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Undergrad Are There Any Other General Forms of Prime Numbers Besides 6n+/-5 and 6n+/-1?
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Undergrad What's the Difference Between x_transpose*x and x*x_transpose?
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Graduate How Can Ramanujan's Identity Simplify Summing Powers of Integers?
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Undergrad What does it mean for a matrix to have rank 0 ( zero) ?
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Graduate Theorem: Rank of a Matrix: Proof & Questions
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Graduate Solving simultaneous linear difference equations
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Undergrad Tips on finding the eigenvalues of a 3x3 matrix
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Graduate Complex Vectors in Geometric Algebra
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Graduate A question about the rank of the sum of linear transformations
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Graduate Prove: n ≡ 3 (mod 4) Cannot be Sum of Two Squares
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Undergrad A^3 + b^3 = c^3 where a, b, c, are sides of a triangle?
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Graduate Jordan Can. Form of Frobenius map
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Undergrad Vectors & Angles: Find Relationship between \alpha & \beta
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Graduate Is the Rank-Nullity Theorem Always True for Linear Operators?
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Graduate Structure of elements of the unitary group
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Graduate Suppose that{u1,u2, ,um} are non-zero pairwise orthogonal vectors
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Graduate Q(sqrt(2)) and Q(sqrt(3)) not isomorphic?
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Graduate Question about primes and divisibility abstract algebra/number theory
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Graduate The generalized rank-nullity theorem
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High School Applications of Linear Inequalities?
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Undergrad Find a nonzero vector u with initial point P(-1.3.-5) such that
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Undergrad An small question about RSA algorithm
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Graduate A question about the rank of a linear operator
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Graduate How Does the Change of Coordinate Matrix Transform an Ellipse Equation?
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Graduate Singular Values & Linear Transformations
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Graduate What is the Limit of Prime Number Frequency?
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Graduate Why Do Hermite Polynomials Form a Basis for P3?
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Graduate Characteristic value of Fibonacci Sequences
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Graduate Determining Possible Values of N for Irreducible Polynomial in GF(2^2)
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Undergrad Is Prime Number Density Uniformly Distributed Among Integers?
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Graduate True, false questions about matrices
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Undergrad Is Span{u1,u2,...,um} a Subspace of R^n?
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High School Calculating Real Values of Expressions
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Graduate Proof for Alternating Group Order |An| = ½(n!)
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Undergrad [(2*(n^2)+1] MUST be divisible by 3
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Graduate Understanding Oblique Projection and its Geometry
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Graduate Infinite dimensional representation of su(2)
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Graduate Defining Addition Operator for Algebra of Rotations in d-Dimensions
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Graduate Alternating Groups: Even Permutations in Sn for n > 2
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Undergrad Sum of Distinct Primes: Fact or Fiction?
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High School Dot product calculates what exactly?
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Undergrad Finding Solutions for na=0 (mod m) with Positive Integers m and n
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Graduate Is the Riemann Hypothesis Finally Proven?
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Graduate Is u Algebraic Over K if u^2 is Algebraic Over F?
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Undergrad Invertible <=> F is 1-1 and onto
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Undergrad What are the conditions for commuting linear maps?
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Graduate Linear transformation defined by T(a + bx) = (a, a+b)
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Undergrad Proving If Two Integers Don't Divide by 3: A Number Theory Challenge
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Graduate GR Math: how does tensor linearity work?
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Graduate Lorentz according to Bamberg & Sternberg
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Undergrad Understanding Singular Rectangular Matrices
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Undergrad Need books/articles with proofs of polygonal number theorem
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Graduate Composition of Linear Transformation and Matrix Multiplication
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Undergrad Is Matrix C Singular If Matrix B Is Singular?
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Undergrad What Does a Strong Eigenvalue Signify in a System of Equations?
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Graduate Proving the Inverse Element in Modulo Multiplication?
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Graduate Groups do not necessarily have to have only one operation
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Graduate Morphism which preserves convolution?
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Graduate Is There a Geometrical Interpretation of Vector Pointwise-Product?
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Graduate Antisymmetric but non-symplectic
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Graduate Integer tuples with equal L1 and L2 norms
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Undergrad Solving Quadratic Form Derivative: A Frustrating Challenge
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Undergrad Finding the Number of Cubes in the Middle of a Decreasing Cube Tower
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Graduate Exploring Beal Conjecture Solutions: Common Prime Factor Examples
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Graduate Some linear algebra problems i with
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Undergrad Understanding LA: Linear Transformation of Matrix A
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Graduate Do Integral Properties of Functions Imply Independence from Variables?
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Undergrad What is Spanning and its Relation to Dimensionality?
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Graduate An Elementary Proof Of Both The Beal Conjecture And Fermat's Last Theorem.
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Graduate A question of order of the product of two elements
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Undergrad Is there a theorem for expanding (a^n)-1?
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