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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.
Undergrad Are there primitive roots in Z_32?
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MHB Isomorphism Between Vector Spaces: A Real Life Analogy
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Graduate Dropping a rule in vector spaces
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Graduate Intuition for Quotient Ring in Polynomials
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Undergrad Dimension of the null space of A transpose
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Undergrad How Can You Prove the Cross Product in Vector Mathematics?
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Graduate Finding permutations of a stabilizer subgroup of An
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Graduate Number of positive divisiors with gcd condition
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A link for Linear Algebra Problem solvers REA
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Undergrad Modular Arithmetic and Diophantine Equations
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Graduate Finding Roots of Bivariate Polynomial Surfaces: A Slice Technique Approach
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Graduate Can Two Intersecting Planes be Found from a Parametric Line Equation in ℝ^{3}?
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MHB Basis & Dimension of 2x2 Matrix Subspaces: W1 & W2
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Undergrad Using Determinant Identities to solve
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Graduate Does n*a ALWAYS mean to a + a + + a (n times) where + is the group operation?
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Graduate A Distribution Analysis formula.
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Undergrad Calculating the Length of a Complex Vector
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Graduate Infinite dimensional vector spaces without basis?
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MHB Answer: Anti-Symmetric Matrix: Necessary 0's Diagonal?
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Graduate What is the meanning of this propisition ?
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Undergrad Equivalence of the nullspace and eigenvectors corresponding to zero eigenvalue
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Undergrad A possible more general form of Euler's identity
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Graduate From a vector space to the projective space
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Undergrad What are some applications of prime numbers other than cryptography
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Undergrad Dot Product Projection: What Does A Dot B Mean?
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Graduate A Theorem on Squares and Congruences
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Graduate Conjecture: There exists no number k s.t. k^2+2 is a multiple of 7
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Undergrad Invertiable for all values of theta
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High School Why Use Vectors? Learn About Vector Basics
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Graduate Intersections of axes and affine space
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MHB X^(2^n) + x + 1 is reducible over Z2 for n>2
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Graduate Redundancy in definition of vector space?
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Graduate Eigenvectors with at least one positive component
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Undergrad Solution x spanning columns of A
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Graduate Proof that exists prime btw n<p<n
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Graduate Is the Taylor Series Method Valid for Proving the Irrationality of ln(π)?
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Graduate Affine Varieties and the Vanishing Ideal
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Undergrad What is the proof of this theorem in linear algebra ?
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Undergrad Operations over infinite decimals numbers
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Graduate Can Spherical Symmetry Techniques Extend Plane Symmetries?
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Undergrad What Real Life Examples Exist for an Inverse Linear Transform?
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Graduate Understanding Scalar Transformations in Matrix Dimensions
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Undergrad Linear Independence: Is this true?
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Graduate Generalizing Linear Independence: Beyond R^n and into Matrix Spaces
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MHB How can rotation matrices be used to motivate students?
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Graduate What is the best way to think about an R-algebra?
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Graduate Proof of ∏(√n) Increment for Centered Polygonal Numbers w/ Prime Index
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Graduate Groups of prime order structurally distinct?
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Graduate How Can One Visualize a Group?
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Graduate Determinant of row interchange proof
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Graduate Ring Homomorphism: unit in R implies unit in R'
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Graduate Is There a Predictable Pattern in Prime Exponent Series Gaps?
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Graduate Question about generator of cyclic group
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Graduate Characteristic - must be on an integral domain? Books disagree?
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Graduate Quotient of the Mutlplicative Monoid of a Ring
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Graduate Can Subgroups Have a Volume in Linear Matrix Spaces?
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Graduate Unique set of vectors normal to a hyperplane
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Graduate Tridiagonal matrices multiplication
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High School Equivalent Matrices: Definition & A=B
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Undergrad Why is it not possible for the columns of a matrix to span R^2 even if
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Graduate Applications of Cayley-Hamilton theorem
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Graduate Matrices and linear transformations.
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Undergrad What is the Parametric Description of Span{u,v,w}?
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Undergrad Notation of Matrices: Question from Niles
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MHB Prove that such a permutation exists.
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Undergrad Equivalence Relations in A={a,b,c,d}: Proving the Bell Number Theorem
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Undergrad Cube Roots of 1 in Polar Form: Stephen's Question
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High School Determining wheter point lie on line
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MHB What is the Maximum Norm Proof for Matrix A?
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Undergrad How did the idea determinants come up?
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Graduate Regularity of P and Markov chains
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Undergrad A question about linear transformations
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Undergrad Matrix Problem: Solving for H(^T)*H with P and H matrices
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High School Is x1+x2=x3+x4 a linear equation?
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MHB Determinants and Rank: Solving for det(A) Given Rank(A)=4
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Undergrad Can one determine the surf/circumf with a geometrical figure
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Graduate Residues and non residues of general quadratic congruences
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Undergrad Interseccion of two planes in R3
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Graduate How to find a basis for the vector space of real numbers over the field Q?
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Undergrad Linear Functions: Showing Properties for Multi-Vars
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Graduate Dot product between arrays: basis representation of an image
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Graduate Examine Structurally Distinct Abelian Groups with Primary Decomposition Thm
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Undergrad Are Vectors Parallel If Dot Product Equals Product of Norms?
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Undergrad What does this definition mean ?
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Graduate Monoid of specifications for a group
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Graduate Which subspaces retain nondegeneracy of a bilinear form?
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Graduate Consecutive integers such that the prime divisors of each is less or equal to 3
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Graduate Dot and Cross Product from Rotation Matrix
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Undergrad Is there a Whole Number Multiple of Pi Closest to a Whole Number?
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Graduate Proving Existence of Basis in Vector Spaces
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Undergrad Linear dependence and independence; linear combinations
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Undergrad Why is b considered an element of R^m in the Ax=b theorem?
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Graduate Logarithm of 2x2 Matrix: A General Guide
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High School How Do You Find the Inner Product of Vectors in Polar Coordinates?
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Undergrad How Do You Find the Equation of a Plane Given a Point and a Perpendicular Line?
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Undergrad Matrix corresponding to linear transformation is invertible iff it is onto?
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Graduate Proving the Group Properties of M, the Set of Nth Roots of Unity
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MHB Finding the Inverse of Symmetric Matrices with Non-Real Coefficients
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Graduate Understanding Vector Spaces: Properties and Applications
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Graduate Is it possible to define a basis for the space of continuous functions?
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