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 Discovering the Prime and Factored Parts of Positive Integers
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Undergrad Splitting apart bases with a power
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Undergrad Projection of vector on a plane
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Graduate Is the Gradient Vector Always in the Radial Direction?
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Undergrad How Can We Prove Linear Dependence in Vector Spaces?
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Undergrad Found Some Pattern in prime numbers
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Graduate Orientation consistency of a group
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Graduate How Can You Find Prime Ideals in Products Like Z/3Z x Z/9Z?
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Graduate Finding Primes: A Divisor summatory function
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Graduate Inherent negativity of seemingly symmetric finite integer sets
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Undergrad Rotation is combination of shearing and scaling
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Undergrad Linear transformation being onto or not (Three problems I understanding)
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Graduate Problem about Fermat numbers and order of an element
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Graduate Does differentiation preserve linear independence?
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Graduate Do tuples exist which aren't elements of a cartesian product of sets?
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Undergrad I forgot what the formula for this is.
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Undergrad Linear Algebra in Analyzing Finance
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Undergrad Concepts of Eigenvectors/values
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Graduate How can I find a solution valid for all cases?
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Undergrad Find Basis for Subspace of R^4 Spanned by Vectors
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Undergrad Reducing the operation by using the modulo
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Graduate Primes as Energy levels (eigenvalues of a certain operator)
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Graduate What is the relationship between rank and submatrices in a nonzero matrix?
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Undergrad Projections onto a plane and parallel to a vector
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Graduate Sum A+cB of invertible matrices noninvertible?
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Undergrad Inverse matrix with whole numbers
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Graduate Writing a Linear program as a semi definite program
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Undergrad What is the difference between Field and Set ?
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Undergrad Discriminant of a quadratic equation in 2 variables
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Undergrad Question about finding dimensions
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Undergrad Combine upper, lower, and diagonal matrix?
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Graduate Characterizing Affine Independence
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Graduate Understanding the Relationship Between Exterior and Cross Products
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Graduate Norms and Units of an Integral Domain
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Graduate How to Prove a Matrix is Diagonal?
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Graduate Tensor product and infinite dimensional vector space
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Undergrad What does this statement even mean?
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Graduate Is the Units Group of Z Modulo 34 Cyclic?
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Undergrad Determine whether the function is a linear transformation (Attempt inside)
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Graduate What Other Iterative Methods Can Be Used If A is Not Positive Definite?
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Undergrad When to Solve for dimH vs. Column Space or Null Space?
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Undergrad How Do You Find Non-Parallel Vectors in a Plane Defined by an Equation?
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Graduate Are these vector spaces isomorphs?
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Undergrad Variable power as an axis, nonsense? please comment
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Graduate How to Prove a Group with 2n-1 Subgroups is Trivial or Isomorphic to Z2?
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Graduate Is there a formula for calculating partitions with restrictions?
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Graduate (Q,+, .) is a commutative ring : confusion
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Undergrad Trouble understanding spans of vector spaces
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Graduate Why is this always the case A=[itex]\begin{array}{cc}1 & 6
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Undergrad What are the prerequisites for learning Linear Algebra?
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Graduate Galois Theory questions: Homomorphisms
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Undergrad Spanning sets, eigenvalues, eigenvectors etc .
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Undergrad Solving Ax=b; when to use LU decomposition?
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Undergrad Inverting a function? f(y) instead of f(x)
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Graduate Shrinking down a^b mod m when b is huge and a is irrational?
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Graduate Are H Union K and Z(g) Subgroups in Group Theory?
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Undergrad Creating a system of equations consisting only of integers?
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Graduate How Many Homomorphisms Can Be Calculated Between Different Fields?
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High School How do I check if a 1x1 matrix is diagonal, lower/upper triangular?
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Graduate Zp[x]/(x^2 + 1) is a field iff p is a prime p ≠ 1 (mod 4)
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Undergrad How Are Rational and Irrational Numbers Distributed Along the Real Line?
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Graduate What can commute with a diagonal matrix?
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Graduate Composition of functions and operator algebra.
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Graduate Matrix of a Linear Transformation (Abstract)
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Graduate Quotient Field of the Positive Rationals
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Undergrad Modular arithmetic question about functions
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High School How can I visualize the plane y=z?
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High School Understanding Cosets and Subspaces in Linear Algebra
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Undergrad Is S4 a Subset of S5?
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Graduate How does the identity Ln(detA)=Tr(lnJ) hold true?
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Undergrad Find a prime divisor of 1111 (13 1's)
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Undergrad Simple question regarding polynomials
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Undergrad Collatz Conjecture: Plotting Integer Steps with Joe
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Graduate Understand Irreducibility in Zp: What is Zp^x? Order of Elements in Zp
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Graduate Exponential of jordan form involving distinct eigenvalues
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Undergrad How to Find Convergents of a Continued Fraction?
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Graduate Hello,The pseudoinverse formula for a matrix A is given by:P =
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Graduate Is the Riemann Hypothesis Equivalent to S=2Z?
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Graduate Inner product of vectors and covectors
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Undergrad Vector. Is there an inverse of dot and cross product?
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Graduate Constraining the element-wise magnitudes of a matrix
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Graduate Group Action of S3 on a set of ordered pairs
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Undergrad What is the Value of (p+q-2t) and (p^2+q^2-2t^2) in an Equation with Degree 3?
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Graduate Tricky complex square matrix problem
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Graduate Does anyone know the name of this type of map
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Graduate Left group actions involving SO(3) and the 2-sphere
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Undergrad Real Numbers vs Extended Real Numbers
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Graduate Factor Groups: Conjugation & 2 Conjugates
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Undergrad Integer values of this expression
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Graduate Abstract Algebra - Cyclic groups
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Undergrad What topics from linear algebra do I need to study tensors?
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High School Why is not angle considered as vector?
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Undergrad Simple summation, difficult inference. (game theory)
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Graduate Principal ideals of rings without unity
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Graduate Power Series Expansion of Dedekind Eta Function: How to Expand η(τ)/η(3τ)?
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Undergrad Linear Algebra: Can't make sense of it
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Graduate Riemann zeta functionpole question?
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Graduate Trivial zeros in the Riemann Zeta function
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Undergrad A problem on linear transformation and standard basis
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High School Is a number preceding infinity, finite?
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