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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 Is Simplifying Group Axioms to Just Left Identity and Inverses Valid?
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Undergrad Division of Vector: Learn How to Perform A/B Expression
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Undergrad What is Vector Inversion and How Does It Differ from Vector Division?
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Graduate What is the significance of diagonalizing the matrix in an LC-circuit?
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Undergrad Difference between a vector space and a field?
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Graduate Uncovering the Math Behind a Mysterious Paradox
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Undergrad Do Vectors [a, b, c] with c - a = 2b Form a Vector Space?
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High School I apologize if this is old. Thing I found.
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Graduate Revised Simple Proof of the Beal's Conjecture
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Graduate What is the Geometric Proof of Goldbach's Conjecture Using Counter Diagonals?
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Graduate Number of generators of finite group
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Graduate What Does Georgi Mean by Vector Space in Theorem 1.5?
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Graduate The number of ways to express a specific summation
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Undergrad Is trace(A*A) always positive?
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Undergrad What Does Column n-Tuple Mean in Vector Spaces?
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Graduate SU(2) as representation of SO(3)
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Undergrad Prime Numbers: A Mathematical Mystery
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Graduate Can Hyperreal Numbers Form a Vector Space Over the Reals?
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Graduate Multiplicative Identity under Matrix Multiplication
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Graduate Projection and Inclusion in Higher-Dimensional Spaces: What's the Difference?
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Graduate Is E an Algebraic Closure of Q a Normal Extension?
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Graduate A little problem with permutations.
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Graduate Do evanescent waves span a vector space?
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Graduate Unique Solution for Tx=y in R(T) when T is injective
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Graduate Solving Tx=y: One Solution & R(T) Condition
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Graduate Irrational+Irrational=Rational (deeper)
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Graduate Matrix Transform: Meaning & Space Covered
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Undergrad Why is a negative sign not needed when swapping rows in matrix row echelon form?
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Graduate Sylow Subgroups: Show 10 is Not a Subgroup of Order 324
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Graduate Proof of Normal Subgroups in Group G - HN
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Graduate Module Equivalence: Understanding Ann(M)
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Graduate Inverting a Tensor - How to Find Out?
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Graduate Change of basis in R^n and dimension is <n
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Graduate Why Can't We Construct e(9) from e(8) in Exceptional Lie Algebras?
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Undergrad Matrix Solution and variable multiplication
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Graduate Choosing Postgrad Programme: Arithmetic Combinatorics Vs Algebraic Number Theory
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Undergrad Understanding Eigenvectors and Eigenvalues in Linear Transformations
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Graduate Exponential of a tridiagonal symmetric matrix
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Graduate Proof that (x^t)Ax>0 if Eigenvalues of Matrix A > 0
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Undergrad Dimension for Vector Space involving Planes
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Graduate Question on N-dimensional Lie Groups
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Undergrad Figuring resistance and temperature
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Undergrad Multiplication of two matrices
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High School Is Gauss Elimination Method the Same as Gauss Jordan Method in Matrices?
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Graduate Question re. tensor product of v. spaces
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Graduate Are Natural Bijections Only About Terminology in Category Theory?
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High School Some properties of vectors - there is a point I don't understand it .
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Graduate Disproved the Riemann Hypothesis?
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Graduate Eigenvalues of AX - XA: Finding Eigenvectors for a Real 2x2 Symmetric Matrix
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Undergrad Associated Homogeneous System definition
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Undergrad Counting Subsets of A with k Elements and Sum of r
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Undergrad Bound Vector and Vector Products
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Graduate Understanding Determinants of Matrices over Commutative Rings
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High School Number 3 Appearing 1-1000: Counting Stats
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Graduate Number of partitions of 2N into N parts
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Graduate Can Elements and Their Inverses Occupy Distinct Cosets in Nonabelian Groups?
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Graduate Solutions of Ax = b (for singular A)
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Undergrad Difference between a spanning and linear combination?
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Undergrad Can Eigenvalues and Determinants Determine the Elements of a Square Matrix?
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Graduate Have You Noticed the Symmetry of Primes in the Sieve of Eratosthenes?
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Graduate Cross product of complex vectors
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Graduate Are All Units in Z[sqrt(2)] of the Form +/- (1 +/- sqrt(2))^n?
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Graduate Spinors, vectors and quaternions
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Graduate Prove Irreducibility of f(x) with Eisenstein's Criterion
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Undergrad Can a Transformation Matrix be one-to-one and not onto?
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High School Efficient way to solve basic high school level number theory questions?
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Graduate Novel Generalization Of Square Triangular Nos?
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Graduate Simple Proof of Beal's Conjecture
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Graduate A question about the Exterior Product in Yang-Mills theory
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Undergrad What is the meaning of the sigma notation in this matrix A?
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Graduate Proof That A & A^T Have the Same Nullspace (Kernel)
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Undergrad Set of vector which are solution to 2 homogeneous systems
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Graduate Proving Non-Diagonal Matrix Exponential is Diagonal - Ian's Problem
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Undergrad Transforming Matrix Addition to Multiplication without Exponentiation
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Graduate Generating group homomorphisms between Lie groups
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Graduate Is there a course available for the Riemann Hypothesis (RH)?
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Graduate Linearly independent field homomorphisms.
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Graduate Is a Cancellative Semigroup the Same as a Group?
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Graduate What is the Spectral Radius of Partitioned Matrices M1 and M2?
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Graduate Proving that for nilpotent A, A+I is invertible
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Undergrad Why is diagonalizing a matrix beneficial?
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Undergrad Why would a solution not exist for an overdetermined system?
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High School Gaussian Elimination: Solving Systems of Linear Equations
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Undergrad Physical meaning of orthonormal basis
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Undergrad Calculating the angle between two vectors
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Graduate How to prove this congruent proof?
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Graduate Proving Grassmann's Algebra Using Free Vector Spaces
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Undergrad Finding a Linear Transform for Contraction of Vectors
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Undergrad Movement of a vector when multiplied by a matrix
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Graduate Jacobian determinant and volume change
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Graduate Finding Orthonormal Basis of Hilbert Space wrt Lattice of Subspaces
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Graduate Transcendental Values for sin(Q*pi)
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Graduate Matrix representation of a group
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High School Solution to Forbidden Equation: x=1 and 2
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High School Does this reasoning ever reach infinity? 0<1<2<3<4<5
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Graduate Orthogonal Complement to the Kernel of a Linear Transformation
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Undergrad How to know whether the least squares approximation exitsts.
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Undergrad Is the trivial solution a unique solution?
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Graduate Homomorphisms as structure-preserving maps
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Graduate How Does the Circle Group Influence Linear Transformations in a Sin-Cos Basis?
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